Understanding the properties of warm dense hydrogen is of key importance for the modeling of compact astrophysical objects and to understand and further optimize inertial confinement fusion applications.The workhorse ...Understanding the properties of warm dense hydrogen is of key importance for the modeling of compact astrophysical objects and to understand and further optimize inertial confinement fusion applications.The workhorse of warm dense matter theory is thermal density functional theory(DFT),which,however,suffers from two limitations:(i)its accuracy can depend on the utilized exchange-correlation functional,which has to be approximated,and(ii)it is generally limited to single-electron properties such as the density distribution.Here,we present a new ansatz combining time-dependent DFT results for the dynamic structure factor See(q,ω)with static DFT results for the density response.This allows us to estimate the electron-electron static structure factor See(q)of warm dense hydrogen with high accuracy over a broad range of densities and temperatures.In addition to its value for the study of warm dense matter,our work opens up new avenues for the future study of electronic correlations exclusively within the framework of DFT for a host of applications.展开更多
Waverider design based on osculating theory presents two critical issues:robust specification of design curves and accurate solution of the basic flowfield.Although the existing parametric approaches have advanced rap...Waverider design based on osculating theory presents two critical issues:robust specification of design curves and accurate solution of the basic flowfield.Although the existing parametric approaches have advanced rapid configuration generation through geometric parameterization frameworks,they critically neglect the inherent coupling between aerodynamic constraints and geometric design parameters.To overcome this limitation,an Aerodynamics-Informed Parametric(AIP)method is developed by analytically deriving three waverider design curves and integrating them with the second-order curved shock theory.This method enables rapid waverider surface design while accounting for inflow conditions and shock wave geometry.Three typical waveriders,each featuring distinct combinations of design curves as inputs,are constructed and evaluated through inviscid and viscous numerical simulations to validate the applicability and accuracy of the AIP method.The results indicate that waveriders derived using the AIP method successfully reproduce the preassigned shock waves and original flowfields.Compared to traditional waverider design techniques based on the method of characteristics,the AIP method reduces computation time by approximately 94%,while maintaining errors in the inviscid lift-to-drag ratio,viscous lift-to-drag ratio,and volumetric efficiency below 0.1%,4.0%,and 0.1%,respectively.Additionally,a specially designed model is fabricated for the wind-tunnel tests to analyze the hypersonic aerodynamic performance of the waverider.Both numerical and experimental results confirm the feasibility of the AIP method,making it a promising candidate for waverider design and optimization.展开更多
Channels are one of the five critical components of a communication system,and their ergodic capacity is based on all realizations of a statistical channel model.This statistical paradigm has successfully guided the d...Channels are one of the five critical components of a communication system,and their ergodic capacity is based on all realizations of a statistical channel model.This statistical paradigm has successfully guided the design of mobile communication systems from first generation(1G)to fifth generation(5G).However,this approach relies on offline channel measurements in specific environments,and thus,the system passively adapts to new environments,resulting in deviation from the optimal performance.As sixth generation(6G)expands into ubiquitous environments and pursues higher capacity,numerous sensing and artificial intelligence(AI)-based methods have emerged to combat random channel fading.However,there remains an urgent need for a proactive and online system design paradigm.From a system perspective,we propose an environment intelligence communication(EIC)based on wireless environmental information theory(WEIT)for 6G.The proposed EIC architecture operates in three steps.First,wireless environmental information(WEI)is acquired using sensing techniques.Then,leveraging WEI and channel data,AI techniques are employed to predict channel fading,thereby mitigating channel uncertainty.Finally,the communication system autonomously determines the optimal air-interface transmission strategy based on real-time channel predictions,enabling intelligent interaction with the physical environment.To make this attractive paradigm shift from theory to practice,we establish WEIT for the first time by answering three key problems:How should WEI be defined?Can it be quantified?Does it hold the same properties as statistical communication information?Subsequently,EIC aided by WEI(EIC-WEI)is validated across multiple air-interface tasks,including channel state information prediction,beam prediction,and radio resource management.Simulation results demonstrate that the proposed EIC-WEI significantly outperforms the statistical paradigm in decreasing overhead and performance optimization.Finally,several open problems and challenges,including regarding its accuracy,complexity,and generalization,are discussed.This work explores a novel and promising way for integrating communication,sensing,and AI capability in 6G.展开更多
Tailings thickening is a key unit operation in mineral processing,paste backfill,and tailings management systems,exerting a direct influence on water recovery efficiency,slurry transport behavior,and the stability of ...Tailings thickening is a key unit operation in mineral processing,paste backfill,and tailings management systems,exerting a direct influence on water recovery efficiency,slurry transport behavior,and the stability of downstream dewatering and disposal processes.Throughout the entire thickening workflow,spanning free settling,compression settling,and high-concentration discharge,the evolution of rheological properties governs the formation of particle networks,the development of yield stress,and the resistance to flow and consolidation.These rheological responses are strongly coupled with particle size distribution,mineral composition surface physicochemical characteristics,and operating conditions,leading to complex,stage-dependent thickening behavior.This review adopts a rheology-oriented perspective to analyze the thickening process across its distinct zones—clarification,free settling,hindered settling,and compression.Rheological behavior evolves from Newtonian to non-Newtonian and viscoplastic as solid concentration increases,affecting particle aggregation,settling,and network consolidation.Key parameters—shear yield stress,compressive yield stress,viscosity,and viscoelastic moduli—are central to understanding flocculation(e.g.,Derjagin-Landau-Verwey-Overbeek,adsorption-bridging),settling,and compression.Integrating rheology with macroscopic models(e.g.,Coe-Clevenger,Kynch,Buscall-White)and microscopic theories provides a unified framework for interpreting thickening mechanisms and guiding optimization.Advances in rheometry and online monitoring enable accurate slurry characterization,while numerical simulations incorporating rheology support the prediction of flow fields and solid-liquid separation.This review underscores the necessity of a rheology-based approach for designing flocculant dosing,optimizing equipment,and diagnosing failures.Future thickening technologies will rely on rheology combined with multi-scale modeling,intelligent monitoring,and artificial intelligence(AI)-based control for real-time regulation and sustainable tailings management.展开更多
Metaheuristic algorithms have emerged as indispensable tools for solving NP-hard optimization problems that defy traditional methods.To advance the field’s focus on algorithmic performance,this study introduces the T...Metaheuristic algorithms have emerged as indispensable tools for solving NP-hard optimization problems that defy traditional methods.To advance the field’s focus on algorithmic performance,this study introduces the Theory Evolution Optimization(TEO)–an efficient metaheuristic inspired by the evolution of scientific theory.TEO simulates the competitive,accumulative,and replacement processes among scientific hypotheses,mirroring the evolution from a hypothesis to an established scientific theory.The performance of TEO is validated through extensive experimental simulations and benchmarked against 28 popular algorithms,including highly competitive champions such as EBOwithCMAR,LSHADE_cnEpSi,and LSHADE.Pairwise comparisons between TEO and the latest algorithms are conducted using the Wilcoxon signed-rank test,with multiple comparisons managed by the Friedman test.Initially,TEO is tested on the classical IEEE CEC2017 and the latest IEEE CEC2022 benchmark functions.TEO successfully addresses four prominent engineering design problems in constrained continuous space for practical applications.Additionally,a binary TEO(BTEO)variant is introduced and applied to feature selection tasks in discrete space.Experimental results consistently demonstrate that TEO proposes highly competitive outcomes in optimization problems.The source codes for this research are accessible to the public at http://gffzze767f4cc5ce545d8sbpvu05ppn6n66f6u.ffgz.tsg.suse.edu.cn/TEO.html.展开更多
In this short article,we wish to initiate a probability theory to describe the(in)famous transition to turbulence phenomena.For normal systems,the instability threshold can be predicted because the transition probabil...In this short article,we wish to initiate a probability theory to describe the(in)famous transition to turbulence phenomena.For normal systems,the instability threshold can be predicted because the transition probability jumps from zero to P→1 when the control parameter exceeds the threshold.However,for non-normal systems,such a transition is probabilistic,which depends on the control parameter and initial energy.A low-dimensional reduction idea is proposed to give a detailed description of the transition probability of non-normal systems in the future.We also wish that such an idea could be transplanted for understanding such a transition in more complex flows,e.g.,atmospheric flows,mantle convection,and ocean circulation.展开更多
This study proposes a robust control strategy for semi-active air suspension systems(SASS)based on entropy theory.The multi-objective optimization of a system can be described as a long-term problem using entropy valu...This study proposes a robust control strategy for semi-active air suspension systems(SASS)based on entropy theory.The multi-objective optimization of a system can be described as a long-term problem using entropy values by innovatively introducing entropy theory.The state marginal probability of the SASS is incorporated into the reward function as the entropy value.This incorporation incentivizes the agent to focus on reducing the entropy value of the system state over a period of time during the exploration process,thereby reducing the degree of coupling between system states.This study also proposes an optimization strategy that introduces a state observer based on a variational auto-encoder.The observer can extract environmental features from historical states and expand the dimension of the state,thereby enhancing the generalization performance of the system under different road excitations.Bench test results show that the algorithm improves ride comfort while ensuring robustness.The root mean square(RMS)of body vertical acceleration decreased by 13.01%,while the RMS of dynamic tyre displacement only increased by 2.36%.展开更多
Objective This study aimed to explore the influencing factors of guideline adherence among clinical nurses,based on the Cognitive Load Theory.Methods A cross-sectional research design was employed.Clinical nurses from...Objective This study aimed to explore the influencing factors of guideline adherence among clinical nurses,based on the Cognitive Load Theory.Methods A cross-sectional research design was employed.Clinical nurses from eight tertiary hospitals in Beijing were selected as the study participants between October 2023 and May 2024.A survey was conducted using a demographic information questionnaire,the Guideline Adherence Scale,the Task Complexity Assessment Scale,and the Cognitive Load Scale.Results A total of 1,005 clinical nurses were included.Nurses self-reported relatively high task complexity,with a median total score of 35.00(27.00,41.00),cognitive load was moderate,with a median total score of 56.00(50.00,69.00),and relatively high guideline adherence with a median total score of 22.00(17.00,27.00).The multiple linear regression analyses revealed that the working experience(β=0.056;P=0.005),working pressure(β=−0.041;P=0.043),extraneous cognitive load(β=−0.078;P<0.001),germane cognitive load(β=0.659;P<0.001),and task complexity(β=0.196;P<0.001)are influencing factors of guidelines adherence among clinical nurses.Conclusions Clinical nurses in this study reported relatively high levels of guideline adherence.When assigning nursing tasks and developing targeted optimization strategies,nursing managers should focus on reducing unnecessary extraneous cognitive load and work pressure while actively enhancing germane cognitive load by strengthening nurses’understanding and internalization of clinical practice guidelines,thereby continuously improving their adherence to guidelines.展开更多
The effective early warning of surrounding rock mass deformation is crucial in geotechnical engineering for ensuring the safety and stability of underground constructions.This study introduces a novel risk early warni...The effective early warning of surrounding rock mass deformation is crucial in geotechnical engineering for ensuring the safety and stability of underground constructions.This study introduces a novel risk early warning model based on multi-parameter fuzzy comprehensive evaluation,which quantitatively assesses the risk state of the surrounding rock mass.The microseismic(MS)monitoring system is set up for the underground powerhouse.The spatial and temporal distribution of MS events and the frequency characteristics of MS signals are analyzed during the top arch excavation.The early warning indices for characterizing MS spatial aggregation and frequency-energy dispersion are proposed based on the octree theory to assess the deformation of the surrounding rock mass.The risk warning model for the surrounding rock mass in underground engineering is developed through the integration of the formulated index and the frequency characteristics of MS signals.The results indicate that the multiparameter fuzzy comprehensive assessment model can achieve three-dimensional visualization of risk warnings for the surrounding rock mass.The quantitative results regarding warning time and potential deformation areas are highly consistent with the characteristics of MS precursors.These research results can provide an important reference for early warning of surrounding rock mass risk in similar underground projects.展开更多
Objectives:To construct a systematic framework for college nursing teachers’lifelong learning ability guiding the professional development of college nursing teachers.Methods:Twenty participants(including 12 nursing ...Objectives:To construct a systematic framework for college nursing teachers’lifelong learning ability guiding the professional development of college nursing teachers.Methods:Twenty participants(including 12 nursing teachers,3 educational administrators,and 5 nursing students)were selected through purposive sampling from a university between July and December 2024.Semi-structured in-depth interviews guided by the five nested systems of Ecological Systems Theory(EST)were conducted to collect data,which were then analyzed using NVivo 12 software and grounded theory coding.Results:Grounded in the five nested systems of EST(individual,micro,meso,exo,macro),the“adaptation,planning,renovation,transformation,shaping(APRTS)”framework for college nursing teachers’lifelong learning ability was proposed for the first time,including 5 core dimensions and 15 sub-dimensions.A dynamic ecological cycle mechanism(adaptation→planning→renovation→transformation→shaping)emerged across these dimensions,reflecting the systematic and interactive nature of ability development.Conclusions:Grounded in EST,this framework systematically expounds the internal logic and development laws of college nursing teachers’lifelong learning ability,providing a theoretical basis and practical reference for responding to social changes,empowering educational transformation,and optimizing the educational ecosystem.It promotes a paradigm shift in teachers’career development from passive acceptance to active change.展开更多
Assessment of soil organic carbon(SOC)dynamics is often inadequately represented in empirical measurements because of the significant heterogeneity in soil structure and physico-chemical properties.Partitioning soil c...Assessment of soil organic carbon(SOC)dynamics is often inadequately represented in empirical measurements because of the significant heterogeneity in soil structure and physico-chemical properties.Partitioning soil carbon(C)emissions into autotrophic and heterotrophic respiration is essential for understanding CO2flux sources,but inconsistencies in their magnitude and responses reveal a knowledge gap in partitioning methodologies and their impact on respiration estimates.Utilizing data from an eight-yr field mesocosm study in a temperate oak forest,we computed C emissions from multiple components based on the metabolic theory.Our theoretical calculations of soil C emissions from various treatments were validated against periodic field measurements of soil respiration over an eight-year period.The optimized computations,which included annual precipitation data and accounted for biomass C from litter,roots,and microbes,closely aligned with field measurements of soil respiration across varying treatments.These results showed that fine root and microbial biomass jointly drove temporal variations in soil C emissions,while interannual precipitation variability plays a secondary role.This study confirms the feasibility of using metabolic theory to quantify soil C emissions and highlights the critical role of fine roots and soil microbial biomass,emphasizing the need for a deeper understanding of these factors in SOC budget assessments.展开更多
This study examines the effect of charge on physical features of a gravastar model in the framework of Rastall gravity.A gravastar is an alternative model to a black hole consisting of three separate regions:the inner...This study examines the effect of charge on physical features of a gravastar model in the framework of Rastall gravity.A gravastar is an alternative model to a black hole consisting of three separate regions:the inner sector,the intermediate shell and the outer sector.Different values of the barotropic equation of state(EoS)parameter provide the mathematical basis for these regions.Field equations(FEs)are initially developed for a spherically symmetric spacetime coupled with charged matter distribution.We then use the temporal component of TolmanⅣspacetime to formulate the radial metric potential for both the inner region and intermediate shell.We also apply the matching criteria to ensure smooth matching of exterior and interior spacetimes so that the constants resulting from integrations can be determined.Afterwards,we explore various physical properties of the developed gravastar model such as the proper length,entropy,energy,and others to analyze how shell thickness and charge affect them.It is concluded that,in the background of Rastall theory,a gravastar model exists and serves as a viable alternative to the black hole.展开更多
The creep anisotropy of a duplex Mg-9Li-4Al-1Zn(LAZ941)alloy,possessing a lamellar microstructure with both geometric and mechanical heterogeneity,was systematically investigated.The minimum creep rate and fracture be...The creep anisotropy of a duplex Mg-9Li-4Al-1Zn(LAZ941)alloy,possessing a lamellar microstructure with both geometric and mechanical heterogeneity,was systematically investigated.The minimum creep rate and fracture behavior were dependent on the geometric relationship between the tensile stress axis and the phase boundaries.Specifically,the creep resistance was superior when the stress axis was parallel to the phase boundaries compared to the perpendicular orientation.This anisotropy was found to originate from the distinct mechanical responses of the layered microstructure,which can be consistently explained by a composite theory.When loaded parallel to the phase boundaries,the hard and soft phases deform under an isostrain condition.As a result,the macroscopic creep behavior is strongly influenced by the more creep-resistant α phase,leading to a low creep rate and a stress exponent approaching that of the α phase.Conversely,when loaded perpendicular to the phase boundaries,the constituent phases deform under an isostress condition.This concentrates strain within the softer β phase,resulting in a high creep rate and a stress exponent approaching that of the β phase.These findings provide a foundational framework for the composite-theory-based design of materials possessing a lamellar structure.展开更多
Though the formation of polysulfide is desirable,as it contributes to the capacity build-up,it must not leak into the electrolyte.The loss of polysulfide causes capacity fade,a change in the local chemistry of the ele...Though the formation of polysulfide is desirable,as it contributes to the capacity build-up,it must not leak into the electrolyte.The loss of polysulfide causes capacity fade,a change in the local chemistry of the electrolyte,and anode poisoning.Constant efforts are in progress to find suitable polysulfide-absorbing materials;however,the magical polysulfide absorber is yet to be discovered or developed.Experimental methods alone often fall short in accelerating the investigations may be due to the complex Nature of the testing.This review focuses on the importance of computational methods,particularly density functional theory(DFT),in screening suitable polysulfide absorbers.It highlights the critical role of anchoring materials in improving Na-S battery performance,including pristine and doped graphene,metal–organic frameworks,carbon Nanofibers,vanadium disulfide,MXenes,and metal sulfides.By examining adsorption energies,charge transfer mechanisms,and catalytic properties,this review provides insights into the design of advanced materials that can effectively immobilize polysulfides and enhance battery stability.The review aims to guide future research efforts toward the development of high-performance RT Na-S batteries through a comprehensive understanding of the polysulfide-absorbing materials.展开更多
Understanding phenotypic variation in the morphological and physiological characteristics of amphibians and the underlying evolutionary mechanisms is a central topic of broad significance in evolutionary biology.To ex...Understanding phenotypic variation in the morphological and physiological characteristics of amphibians and the underlying evolutionary mechanisms is a central topic of broad significance in evolutionary biology.To explore adaptive variations in the relative sizes of key organs(heart,kidneys,lungs,and digestive tract),we surveyed 11 populations of Nanorana quadranus distributed in the Qinling-Daba Mountains at altitudes ranging from 586 to 1702 m.Our results revealed distinct adaptive responses of N.quadranus organs to heterogeneous environmental pressures.Specifically,the relative heart size decreased with altitude,contradicting Hesse's rule,whereas digestive tract length showed no significant geographic correlation,challenging the simple extrapolation of digestion theory.These findings indicate that oxygen availability is unlikely to be the primary driver of cardiac variation in this species,and that local ecological variables may play a more important role than macrogeographic position alone in shaping digestive morphology.Further correlation analysis demonstrated that both relative heart size and relative kidney size were positively associated with the mean temperature of the coldest quarter.Collectively,our results provide novel insights into the adaptive evolution of amphibians in heterogeneous environments and highlight the regulatory roles of climate change and environmental gradients in shaping organ size variation.展开更多
This study investigates methane decomposition on NiFe2O4 and CaO-Ni3 Fe catalysts via DFT and microdynamic modeling.The NiFe2O4 surface exhibits only weak physical adsorption of CH4,with a high activati...This study investigates methane decomposition on NiFe2O4 and CaO-Ni3 Fe catalysts via DFT and microdynamic modeling.The NiFe2O4 surface exhibits only weak physical adsorption of CH4,with a high activation energy of 1.87 eV for the first dehydrogenation step.Deep dehydrogenation to form CO requires overcoming an even higher activation barrier of 2.79 eV.In contrast,the CaO-Ni3 Fe interface significantly reduces the activation energy for the first CH4 dehydrogenation step.Notably,a dual-path competition emerges at this interface:a carbon deposition pathway(CH3*→C*)and a CO formation pathway(CH3*→CO).CaO promotes the oxidation of deposited carbon(C*+O→CO*)via active oxygen species,combined with interfacial electron modulation.Furthermore,CaO reduces the apparent activation energy for the CO formation pathway to 4.51 eV,thereby optimizing the selectivity towards CO generation.Regarding the dual-path reaction scenario,low-temperature reactivity is governed by carbon oxidation control,while the reaction shifts towards the conversion of the CH3*intermediate at elevated temperatures.This study elucidates the temperature-dependent mechanism of dual-path competition,providing a theoretical foundation for designing carbon-resistant methane reforming catalysts.展开更多
The fractional quantum Hall effect remains a captivating area in condensed matter physics,characterized by strongly correlated topological order,which manifests as fractionalized excitations and anyonic statistics.Num...The fractional quantum Hall effect remains a captivating area in condensed matter physics,characterized by strongly correlated topological order,which manifests as fractionalized excitations and anyonic statistics.Numerical simulations,such as exact diagonalization,density matrix renormalization groups,matrix product states,and Monte Carlo methods are essential for examining the properties of strongly correlated systems.Recently,density functional theory has been employed in this field within the framework of composite fermion theory.This paper systematically evaluates how density functional theory approaches have addressed fundamental challenges in fractional quantum Hall systems,including ground state and low-energy excitations.Special attention is given to the insights provided by density functional theory regarding composite fermion behavior,edge effects,and the nature of fractional charge and magnetoroton excitations.The discussion critically examines both the advantages and limitations of these approaches,while highlighting the productive interplay between numerical simulations and theoretical models.Future directions are explored,particularly the promising potential of time-dependent density functional theory for modeling non-equilibrium dynamics in quantum Hall systems.展开更多
This study investigates the thermal and statistical properties of the Dirac oscillator within the framework of two prominent formulations of doubly special relativity(DSR):the Amelino-Camelia and Magueijo-Smolin model...This study investigates the thermal and statistical properties of the Dirac oscillator within the framework of two prominent formulations of doubly special relativity(DSR):the Amelino-Camelia and Magueijo-Smolin models.DSR extends Einstein's special relativity by introducing an additional invariant scale—the Planck energy—leading to modified energy-momentum relations that encode potential quantum-gravitational effects at ultra-high energies.In this context,we derive the modified Dirac equations for both DSR scenarios and analytically determine the corresponding energy spectra.These spectra are subsequently used to compute the partition function and key thermodynamic quantities,including specific heat,by employing the Euler-Maclaurin formula to facilitate an efficient approximation of the partition function.The analysis is restricted to the positive-energy sector,enabled by the exact Foldy-Wouthuysen transformation,which effectively decouples positive and negative energy states.The findings reveal that Planck-scale deformation parameters induce significant modifications in the energy spectrum and thermodynamic behavior of the Dirac oscillator in each DSR framework,thereby offering valuable insights into possible observable imprints of quantum gravitational phenomena in relativistic quantum systems.展开更多
The stability of concrete-rock interfaces is a critical issue in underground engineering.This study investigated the strain localization mechanism and energy evolution of concrete-sandstone specimens containing single...The stability of concrete-rock interfaces is a critical issue in underground engineering.This study investigated the strain localization mechanism and energy evolution of concrete-sandstone specimens containing single and double interfacial cracks at various inclination angles.Acoustic emission(AE)technology and energy theory were used to analyze energy evolution,whereas digital image correlation was employed to examine strain development and fracture mechanisms.A new approach combining digital image processing and custom binarization was introduced to characterize the fractal properties of crack patterns using the box-counting method.Experimental results showed that the AE cumulative energy and stress-strain curves divided the loading process into three stages:crack closure(Ⅰ),stable crack growth(Ⅱ),and rapid crack propagation(Ⅲ).Fractal dimensions were computed for both singleand double-crack specimens using the Otsu method and the proposed binarization technique.The Otsu method yielded values of 1.457,1.482,1.131,1.512,1.489,1.536,1.171,and 1.491,whereas the new method produced higher values—1.6038,1.6643,1.2713,1.6806,1.5594,1.6282,1.2239,and 1.6565—indicating enhanced fractal characteristics.Furthermore,the proposed method detected a three-phase evolution in fractal dimension before failure,which follows an initial increase,a stable period,and a finalrapid rise.These findingsprovide theoretical support for the application of the proposed method in underground engineering.展开更多
In this paper,using the ensemble-averaged theory,we define the thermodynamic free energy of Einstein-Gauss-Bonnet(EGB)black holes in anti-de Sitter(Ad S)spacetime.This approach derives the gravitational partition func...In this paper,using the ensemble-averaged theory,we define the thermodynamic free energy of Einstein-Gauss-Bonnet(EGB)black holes in anti-de Sitter(Ad S)spacetime.This approach derives the gravitational partition function by incorporating non-saddle geometries besides the classical solutions.Unlike the sharp transition points seen in free energy calculated via saddlepoint approximation,the ensemble-averaged free energy plotted against temperature shows a smoother behavior,suggesting that black hole phase transitions may be viewed as a small-GN(Newton's gravitational constant)limit of the ensemble theory.This is similar to the behavior of black hole solutions in Einstein's gravity theory in Ad S spacetime.We have obtained an expression for the quantum-corrected free energy for EGB-Ad S black holes,and in the sixdimensional case,we observe a well-defined local minimum after the transition temperature which was absent in the earlier analysis of the classical free energy landscape.Furthermore,we expand the ensemble-averaged free energy in powers of GNto identify non-classical contributions.Our findings indicate that the similarities in the thermodynamic behavior between five-dimensional EGB-Ad S and Reissner-Nordström-Ad S black holes,as well as between sixdimensional EGB-Ad S and Schwarzschild-Ad S black holes,extend beyond the classical regime.展开更多
基金partially supported by the Center for Advanced Systems Understanding (CASUS), financed by Germany’s Federal Ministry of Education and Research and the Saxon State Government out of the State Budget approved by the Saxon State Parliamentthe European Union’s Just Transition Fund (JTF) within the project Röntgenlaser Optimierung der Laserfusion (ROLF), Contract No. 5086999001, co-financed by the Saxon State Government out of the State Budget approved by the Saxon State Parliament+3 种基金the European Research Council (ERC) under the European Union’s Horizon 2022 Research and Innovation Programme (Grant Agreement No. 101076233, “PREXTREME”)Computations were performed on a Bull Cluster at the Center for Information Services and High-Performance Computing (ZIH) at Technische Universität Dresden and at the Norddeutscher Verbund für Hoch- und Höchstleistungsrechnen (HLRN) under Grant No. mvp00024support by the National Natural Science Foundation of China under Grant No. 12274171support by the Advanced Materials–National Science and Technology Major Project (Grant No. 2024ZD0606900)
摘要Understanding the properties of warm dense hydrogen is of key importance for the modeling of compact astrophysical objects and to understand and further optimize inertial confinement fusion applications.The workhorse of warm dense matter theory is thermal density functional theory(DFT),which,however,suffers from two limitations:(i)its accuracy can depend on the utilized exchange-correlation functional,which has to be approximated,and(ii)it is generally limited to single-electron properties such as the density distribution.Here,we present a new ansatz combining time-dependent DFT results for the dynamic structure factor See(q,ω)with static DFT results for the density response.This allows us to estimate the electron-electron static structure factor See(q)of warm dense hydrogen with high accuracy over a broad range of densities and temperatures.In addition to its value for the study of warm dense matter,our work opens up new avenues for the future study of electronic correlations exclusively within the framework of DFT for a host of applications.
基金supported by the National Natural Science Foundation of China(Nos.U21B6003,U20A2069,and 12202372)the China Postdoctoral Science Foundation(No.2022M712653)。
摘要Waverider design based on osculating theory presents two critical issues:robust specification of design curves and accurate solution of the basic flowfield.Although the existing parametric approaches have advanced rapid configuration generation through geometric parameterization frameworks,they critically neglect the inherent coupling between aerodynamic constraints and geometric design parameters.To overcome this limitation,an Aerodynamics-Informed Parametric(AIP)method is developed by analytically deriving three waverider design curves and integrating them with the second-order curved shock theory.This method enables rapid waverider surface design while accounting for inflow conditions and shock wave geometry.Three typical waveriders,each featuring distinct combinations of design curves as inputs,are constructed and evaluated through inviscid and viscous numerical simulations to validate the applicability and accuracy of the AIP method.The results indicate that waveriders derived using the AIP method successfully reproduce the preassigned shock waves and original flowfields.Compared to traditional waverider design techniques based on the method of characteristics,the AIP method reduces computation time by approximately 94%,while maintaining errors in the inviscid lift-to-drag ratio,viscous lift-to-drag ratio,and volumetric efficiency below 0.1%,4.0%,and 0.1%,respectively.Additionally,a specially designed model is fabricated for the wind-tunnel tests to analyze the hypersonic aerodynamic performance of the waverider.Both numerical and experimental results confirm the feasibility of the AIP method,making it a promising candidate for waverider design and optimization.
基金supported by the National Natural Science Foundation of China(62525101 and 62401084)the National Key Research and Development Program of China(2023YFB2904805)the Beijing University of Posts and Telecommunications-China Mobile Communications Group Joint Innovation Center。
摘要Channels are one of the five critical components of a communication system,and their ergodic capacity is based on all realizations of a statistical channel model.This statistical paradigm has successfully guided the design of mobile communication systems from first generation(1G)to fifth generation(5G).However,this approach relies on offline channel measurements in specific environments,and thus,the system passively adapts to new environments,resulting in deviation from the optimal performance.As sixth generation(6G)expands into ubiquitous environments and pursues higher capacity,numerous sensing and artificial intelligence(AI)-based methods have emerged to combat random channel fading.However,there remains an urgent need for a proactive and online system design paradigm.From a system perspective,we propose an environment intelligence communication(EIC)based on wireless environmental information theory(WEIT)for 6G.The proposed EIC architecture operates in three steps.First,wireless environmental information(WEI)is acquired using sensing techniques.Then,leveraging WEI and channel data,AI techniques are employed to predict channel fading,thereby mitigating channel uncertainty.Finally,the communication system autonomously determines the optimal air-interface transmission strategy based on real-time channel predictions,enabling intelligent interaction with the physical environment.To make this attractive paradigm shift from theory to practice,we establish WEIT for the first time by answering three key problems:How should WEI be defined?Can it be quantified?Does it hold the same properties as statistical communication information?Subsequently,EIC aided by WEI(EIC-WEI)is validated across multiple air-interface tasks,including channel state information prediction,beam prediction,and radio resource management.Simulation results demonstrate that the proposed EIC-WEI significantly outperforms the statistical paradigm in decreasing overhead and performance optimization.Finally,several open problems and challenges,including regarding its accuracy,complexity,and generalization,are discussed.This work explores a novel and promising way for integrating communication,sensing,and AI capability in 6G.
基金financially supported by the National Natural Science Foundation of China(Nos.52427804 and 52304121)。
摘要Tailings thickening is a key unit operation in mineral processing,paste backfill,and tailings management systems,exerting a direct influence on water recovery efficiency,slurry transport behavior,and the stability of downstream dewatering and disposal processes.Throughout the entire thickening workflow,spanning free settling,compression settling,and high-concentration discharge,the evolution of rheological properties governs the formation of particle networks,the development of yield stress,and the resistance to flow and consolidation.These rheological responses are strongly coupled with particle size distribution,mineral composition surface physicochemical characteristics,and operating conditions,leading to complex,stage-dependent thickening behavior.This review adopts a rheology-oriented perspective to analyze the thickening process across its distinct zones—clarification,free settling,hindered settling,and compression.Rheological behavior evolves from Newtonian to non-Newtonian and viscoplastic as solid concentration increases,affecting particle aggregation,settling,and network consolidation.Key parameters—shear yield stress,compressive yield stress,viscosity,and viscoelastic moduli—are central to understanding flocculation(e.g.,Derjagin-Landau-Verwey-Overbeek,adsorption-bridging),settling,and compression.Integrating rheology with macroscopic models(e.g.,Coe-Clevenger,Kynch,Buscall-White)and microscopic theories provides a unified framework for interpreting thickening mechanisms and guiding optimization.Advances in rheometry and online monitoring enable accurate slurry characterization,while numerical simulations incorporating rheology support the prediction of flow fields and solid-liquid separation.This review underscores the necessity of a rheology-based approach for designing flocculant dosing,optimizing equipment,and diagnosing failures.Future thickening technologies will rely on rheology combined with multi-scale modeling,intelligent monitoring,and artificial intelligence(AI)-based control for real-time regulation and sustainable tailings management.
基金supported by the National Natural Science Foundation of China(62571374)“Pioneering Leadership+X”Research and Development Plan of Zhejiang Provincial Department of Science and Technology(2024C03237)the Natural Science Foundation of Hangzhou(2024SZRYBH180010).
摘要Metaheuristic algorithms have emerged as indispensable tools for solving NP-hard optimization problems that defy traditional methods.To advance the field’s focus on algorithmic performance,this study introduces the Theory Evolution Optimization(TEO)–an efficient metaheuristic inspired by the evolution of scientific theory.TEO simulates the competitive,accumulative,and replacement processes among scientific hypotheses,mirroring the evolution from a hypothesis to an established scientific theory.The performance of TEO is validated through extensive experimental simulations and benchmarked against 28 popular algorithms,including highly competitive champions such as EBOwithCMAR,LSHADE_cnEpSi,and LSHADE.Pairwise comparisons between TEO and the latest algorithms are conducted using the Wilcoxon signed-rank test,with multiple comparisons managed by the Friedman test.Initially,TEO is tested on the classical IEEE CEC2017 and the latest IEEE CEC2022 benchmark functions.TEO successfully addresses four prominent engineering design problems in constrained continuous space for practical applications.Additionally,a binary TEO(BTEO)variant is introduced and applied to feature selection tasks in discrete space.Experimental results consistently demonstrate that TEO proposes highly competitive outcomes in optimization problems.The source codes for this research are accessible to the public at http://gffzze767f4cc5ce545d8sbpvu05ppn6n66f6u.ffgz.tsg.suse.edu.cn/TEO.html.
基金support of Investigation into Turbulence Transport in Spheres under Multiphysics Fields(Grant No.KJZ-YY-NLT0604)the National Natural Science Foundation of China(Grant No.52176065)。
摘要In this short article,we wish to initiate a probability theory to describe the(in)famous transition to turbulence phenomena.For normal systems,the instability threshold can be predicted because the transition probability jumps from zero to P→1 when the control parameter exceeds the threshold.However,for non-normal systems,such a transition is probabilistic,which depends on the control parameter and initial energy.A low-dimensional reduction idea is proposed to give a detailed description of the transition probability of non-normal systems in the future.We also wish that such an idea could be transplanted for understanding such a transition in more complex flows,e.g.,atmospheric flows,mantle convection,and ocean circulation.
基金supported by the Science Fund of the State Key Laboratory of Advanced Design and Manufacturing Technology for Vehicle(Grant No.82315002).
摘要This study proposes a robust control strategy for semi-active air suspension systems(SASS)based on entropy theory.The multi-objective optimization of a system can be described as a long-term problem using entropy values by innovatively introducing entropy theory.The state marginal probability of the SASS is incorporated into the reward function as the entropy value.This incorporation incentivizes the agent to focus on reducing the entropy value of the system state over a period of time during the exploration process,thereby reducing the degree of coupling between system states.This study also proposes an optimization strategy that introduces a state observer based on a variational auto-encoder.The observer can extract environmental features from historical states and expand the dimension of the state,thereby enhancing the generalization performance of the system under different road excitations.Bench test results show that the algorithm improves ride comfort while ensuring robustness.The root mean square(RMS)of body vertical acceleration decreased by 13.01%,while the RMS of dynamic tyre displacement only increased by 2.36%.
基金supported by the Natural Science Foundation of China(NSFC72304196)。
摘要Objective This study aimed to explore the influencing factors of guideline adherence among clinical nurses,based on the Cognitive Load Theory.Methods A cross-sectional research design was employed.Clinical nurses from eight tertiary hospitals in Beijing were selected as the study participants between October 2023 and May 2024.A survey was conducted using a demographic information questionnaire,the Guideline Adherence Scale,the Task Complexity Assessment Scale,and the Cognitive Load Scale.Results A total of 1,005 clinical nurses were included.Nurses self-reported relatively high task complexity,with a median total score of 35.00(27.00,41.00),cognitive load was moderate,with a median total score of 56.00(50.00,69.00),and relatively high guideline adherence with a median total score of 22.00(17.00,27.00).The multiple linear regression analyses revealed that the working experience(β=0.056;P=0.005),working pressure(β=−0.041;P=0.043),extraneous cognitive load(β=−0.078;P<0.001),germane cognitive load(β=0.659;P<0.001),and task complexity(β=0.196;P<0.001)are influencing factors of guidelines adherence among clinical nurses.Conclusions Clinical nurses in this study reported relatively high levels of guideline adherence.When assigning nursing tasks and developing targeted optimization strategies,nursing managers should focus on reducing unnecessary extraneous cognitive load and work pressure while actively enhancing germane cognitive load by strengthening nurses’understanding and internalization of clinical practice guidelines,thereby continuously improving their adherence to guidelines.
基金support from the Sichuan Science and Technology Program(Grant No.2023NSFSC0812).
摘要The effective early warning of surrounding rock mass deformation is crucial in geotechnical engineering for ensuring the safety and stability of underground constructions.This study introduces a novel risk early warning model based on multi-parameter fuzzy comprehensive evaluation,which quantitatively assesses the risk state of the surrounding rock mass.The microseismic(MS)monitoring system is set up for the underground powerhouse.The spatial and temporal distribution of MS events and the frequency characteristics of MS signals are analyzed during the top arch excavation.The early warning indices for characterizing MS spatial aggregation and frequency-energy dispersion are proposed based on the octree theory to assess the deformation of the surrounding rock mass.The risk warning model for the surrounding rock mass in underground engineering is developed through the integration of the formulated index and the frequency characteristics of MS signals.The results indicate that the multiparameter fuzzy comprehensive assessment model can achieve three-dimensional visualization of risk warnings for the surrounding rock mass.The quantitative results regarding warning time and potential deformation areas are highly consistent with the characteristics of MS precursors.These research results can provide an important reference for early warning of surrounding rock mass risk in similar underground projects.
基金supported by grants from Educational Research Project of Hubei Higher Education Society in 2024(No.2024XA052)。
摘要Objectives:To construct a systematic framework for college nursing teachers’lifelong learning ability guiding the professional development of college nursing teachers.Methods:Twenty participants(including 12 nursing teachers,3 educational administrators,and 5 nursing students)were selected through purposive sampling from a university between July and December 2024.Semi-structured in-depth interviews guided by the five nested systems of Ecological Systems Theory(EST)were conducted to collect data,which were then analyzed using NVivo 12 software and grounded theory coding.Results:Grounded in the five nested systems of EST(individual,micro,meso,exo,macro),the“adaptation,planning,renovation,transformation,shaping(APRTS)”framework for college nursing teachers’lifelong learning ability was proposed for the first time,including 5 core dimensions and 15 sub-dimensions.A dynamic ecological cycle mechanism(adaptation→planning→renovation→transformation→shaping)emerged across these dimensions,reflecting the systematic and interactive nature of ability development.Conclusions:Grounded in EST,this framework systematically expounds the internal logic and development laws of college nursing teachers’lifelong learning ability,providing a theoretical basis and practical reference for responding to social changes,empowering educational transformation,and optimizing the educational ecosystem.It promotes a paradigm shift in teachers’career development from passive acceptance to active change.
基金funded by the Foundation of President of Hebei University(XZJJ202311)Hebei Postdoctoral Science Foundation(B2024003026)+3 种基金Hebei Natural Science Foundation(C2024201063)National Natural Science Foundation of China(32271677,31870426 and 31470623)Science Research Project of Hebei Education Department(BJ2025095)the China Postdoctoral Science Foundation under Grant Number 2024M760727.
摘要Assessment of soil organic carbon(SOC)dynamics is often inadequately represented in empirical measurements because of the significant heterogeneity in soil structure and physico-chemical properties.Partitioning soil carbon(C)emissions into autotrophic and heterotrophic respiration is essential for understanding CO2flux sources,but inconsistencies in their magnitude and responses reveal a knowledge gap in partitioning methodologies and their impact on respiration estimates.Utilizing data from an eight-yr field mesocosm study in a temperate oak forest,we computed C emissions from multiple components based on the metabolic theory.Our theoretical calculations of soil C emissions from various treatments were validated against periodic field measurements of soil respiration over an eight-year period.The optimized computations,which included annual precipitation data and accounted for biomass C from litter,roots,and microbes,closely aligned with field measurements of soil respiration across varying treatments.These results showed that fine root and microbial biomass jointly drove temporal variations in soil C emissions,while interannual precipitation variability plays a secondary role.This study confirms the feasibility of using metabolic theory to quantify soil C emissions and highlights the critical role of fine roots and soil microbial biomass,emphasizing the need for a deeper understanding of these factors in SOC budget assessments.
摘要This study examines the effect of charge on physical features of a gravastar model in the framework of Rastall gravity.A gravastar is an alternative model to a black hole consisting of three separate regions:the inner sector,the intermediate shell and the outer sector.Different values of the barotropic equation of state(EoS)parameter provide the mathematical basis for these regions.Field equations(FEs)are initially developed for a spherically symmetric spacetime coupled with charged matter distribution.We then use the temporal component of TolmanⅣspacetime to formulate the radial metric potential for both the inner region and intermediate shell.We also apply the matching criteria to ensure smooth matching of exterior and interior spacetimes so that the constants resulting from integrations can be determined.Afterwards,we explore various physical properties of the developed gravastar model such as the proper length,entropy,energy,and others to analyze how shell thickness and charge affect them.It is concluded that,in the background of Rastall theory,a gravastar model exists and serves as a viable alternative to the black hole.
基金partially supported by Japan Society for the Promotion of Science(JSPS)KAKENHI(24K17514)Japan Science and Technology Agency(JST)FOREST(JPMJFR2462)+1 种基金Iketani Science and Technology Foundation(0371193-A)the Light Metal Educational Foundation(2025-B-049).
摘要The creep anisotropy of a duplex Mg-9Li-4Al-1Zn(LAZ941)alloy,possessing a lamellar microstructure with both geometric and mechanical heterogeneity,was systematically investigated.The minimum creep rate and fracture behavior were dependent on the geometric relationship between the tensile stress axis and the phase boundaries.Specifically,the creep resistance was superior when the stress axis was parallel to the phase boundaries compared to the perpendicular orientation.This anisotropy was found to originate from the distinct mechanical responses of the layered microstructure,which can be consistently explained by a composite theory.When loaded parallel to the phase boundaries,the hard and soft phases deform under an isostrain condition.As a result,the macroscopic creep behavior is strongly influenced by the more creep-resistant α phase,leading to a low creep rate and a stress exponent approaching that of the α phase.Conversely,when loaded perpendicular to the phase boundaries,the constituent phases deform under an isostress condition.This concentrates strain within the softer β phase,resulting in a high creep rate and a stress exponent approaching that of the β phase.These findings provide a foundational framework for the composite-theory-based design of materials possessing a lamellar structure.
基金supported by the Indian Institute of Technology Delhi (IIT Delhi)
摘要Though the formation of polysulfide is desirable,as it contributes to the capacity build-up,it must not leak into the electrolyte.The loss of polysulfide causes capacity fade,a change in the local chemistry of the electrolyte,and anode poisoning.Constant efforts are in progress to find suitable polysulfide-absorbing materials;however,the magical polysulfide absorber is yet to be discovered or developed.Experimental methods alone often fall short in accelerating the investigations may be due to the complex Nature of the testing.This review focuses on the importance of computational methods,particularly density functional theory(DFT),in screening suitable polysulfide absorbers.It highlights the critical role of anchoring materials in improving Na-S battery performance,including pristine and doped graphene,metal–organic frameworks,carbon Nanofibers,vanadium disulfide,MXenes,and metal sulfides.By examining adsorption energies,charge transfer mechanisms,and catalytic properties,this review provides insights into the design of advanced materials that can effectively immobilize polysulfides and enhance battery stability.The review aims to guide future research efforts toward the development of high-performance RT Na-S batteries through a comprehensive understanding of the polysulfide-absorbing materials.
基金supported by the National Natural Science Foundation of China(32270461)the Natural Science Research and Innovation Team Project of China West Normal University(KCXTD2024-6)。
摘要Understanding phenotypic variation in the morphological and physiological characteristics of amphibians and the underlying evolutionary mechanisms is a central topic of broad significance in evolutionary biology.To explore adaptive variations in the relative sizes of key organs(heart,kidneys,lungs,and digestive tract),we surveyed 11 populations of Nanorana quadranus distributed in the Qinling-Daba Mountains at altitudes ranging from 586 to 1702 m.Our results revealed distinct adaptive responses of N.quadranus organs to heterogeneous environmental pressures.Specifically,the relative heart size decreased with altitude,contradicting Hesse's rule,whereas digestive tract length showed no significant geographic correlation,challenging the simple extrapolation of digestion theory.These findings indicate that oxygen availability is unlikely to be the primary driver of cardiac variation in this species,and that local ecological variables may play a more important role than macrogeographic position alone in shaping digestive morphology.Further correlation analysis demonstrated that both relative heart size and relative kidney size were positively associated with the mean temperature of the coldest quarter.Collectively,our results provide novel insights into the adaptive evolution of amphibians in heterogeneous environments and highlight the regulatory roles of climate change and environmental gradients in shaping organ size variation.
基金supported by the National Natural Science Foundation of China(52176179)the National Key Research and Development Program(2024YFB4104800)the Fundamental Research Funds for the Central Universities(DUT25Z2799)。
摘要This study investigates methane decomposition on NiFe2O4 and CaO-Ni3 Fe catalysts via DFT and microdynamic modeling.The NiFe2O4 surface exhibits only weak physical adsorption of CH4,with a high activation energy of 1.87 eV for the first dehydrogenation step.Deep dehydrogenation to form CO requires overcoming an even higher activation barrier of 2.79 eV.In contrast,the CaO-Ni3 Fe interface significantly reduces the activation energy for the first CH4 dehydrogenation step.Notably,a dual-path competition emerges at this interface:a carbon deposition pathway(CH3*→C*)and a CO formation pathway(CH3*→CO).CaO promotes the oxidation of deposited carbon(C*+O→CO*)via active oxygen species,combined with interfacial electron modulation.Furthermore,CaO reduces the apparent activation energy for the CO formation pathway to 4.51 eV,thereby optimizing the selectivity towards CO generation.Regarding the dual-path reaction scenario,low-temperature reactivity is governed by carbon oxidation control,while the reaction shifts towards the conversion of the CH3*intermediate at elevated temperatures.This study elucidates the temperature-dependent mechanism of dual-path competition,providing a theoretical foundation for designing carbon-resistant methane reforming catalysts.
基金supported by National Natural Science Foundation of China under Grant Nos.12474140 and 12347101supported by National Natural Science Foundation of China under Grant No.12204432+1 种基金supported by the graduate research and innovation foundation of Chongqing,China under Grant No.CYB25066the inaugural Doctoral Student Special Project of the China Association for Science and Technology Young Talents Lifting Program(2024)。
摘要The fractional quantum Hall effect remains a captivating area in condensed matter physics,characterized by strongly correlated topological order,which manifests as fractionalized excitations and anyonic statistics.Numerical simulations,such as exact diagonalization,density matrix renormalization groups,matrix product states,and Monte Carlo methods are essential for examining the properties of strongly correlated systems.Recently,density functional theory has been employed in this field within the framework of composite fermion theory.This paper systematically evaluates how density functional theory approaches have addressed fundamental challenges in fractional quantum Hall systems,including ground state and low-energy excitations.Special attention is given to the insights provided by density functional theory regarding composite fermion behavior,edge effects,and the nature of fractional charge and magnetoroton excitations.The discussion critically examines both the advantages and limitations of these approaches,while highlighting the productive interplay between numerical simulations and theoretical models.Future directions are explored,particularly the promising potential of time-dependent density functional theory for modeling non-equilibrium dynamics in quantum Hall systems.
基金funded by the Science Committee of the Ministry of Science and Higher Education of the Republic of Kazakhstan,Program No.BR24992759。
摘要This study investigates the thermal and statistical properties of the Dirac oscillator within the framework of two prominent formulations of doubly special relativity(DSR):the Amelino-Camelia and Magueijo-Smolin models.DSR extends Einstein's special relativity by introducing an additional invariant scale—the Planck energy—leading to modified energy-momentum relations that encode potential quantum-gravitational effects at ultra-high energies.In this context,we derive the modified Dirac equations for both DSR scenarios and analytically determine the corresponding energy spectra.These spectra are subsequently used to compute the partition function and key thermodynamic quantities,including specific heat,by employing the Euler-Maclaurin formula to facilitate an efficient approximation of the partition function.The analysis is restricted to the positive-energy sector,enabled by the exact Foldy-Wouthuysen transformation,which effectively decouples positive and negative energy states.The findings reveal that Planck-scale deformation parameters induce significant modifications in the energy spectrum and thermodynamic behavior of the Dirac oscillator in each DSR framework,thereby offering valuable insights into possible observable imprints of quantum gravitational phenomena in relativistic quantum systems.
基金supported by the National Natural Science Foundation of China(Grant Nos.52264006 and 52364004)Guizhou Provincial Basic Research Program(Natural Science)(Grant No.QianKeHe Basic-ZK[2025]general program 630).
摘要The stability of concrete-rock interfaces is a critical issue in underground engineering.This study investigated the strain localization mechanism and energy evolution of concrete-sandstone specimens containing single and double interfacial cracks at various inclination angles.Acoustic emission(AE)technology and energy theory were used to analyze energy evolution,whereas digital image correlation was employed to examine strain development and fracture mechanisms.A new approach combining digital image processing and custom binarization was introduced to characterize the fractal properties of crack patterns using the box-counting method.Experimental results showed that the AE cumulative energy and stress-strain curves divided the loading process into three stages:crack closure(Ⅰ),stable crack growth(Ⅱ),and rapid crack propagation(Ⅲ).Fractal dimensions were computed for both singleand double-crack specimens using the Otsu method and the proposed binarization technique.The Otsu method yielded values of 1.457,1.482,1.131,1.512,1.489,1.536,1.171,and 1.491,whereas the new method produced higher values—1.6038,1.6643,1.2713,1.6806,1.5594,1.6282,1.2239,and 1.6565—indicating enhanced fractal characteristics.Furthermore,the proposed method detected a three-phase evolution in fractal dimension before failure,which follows an initial increase,a stable period,and a finalrapid rise.These findingsprovide theoretical support for the application of the proposed method in underground engineering.
基金supported by the National Natural Science Foundation of China(Grant No.12347177,and No.12405073)project grant received under the PM USHA Scheme G.O.number G.O.(Rt)No.239/2025/HEDN dated 22.02.2025。
摘要In this paper,using the ensemble-averaged theory,we define the thermodynamic free energy of Einstein-Gauss-Bonnet(EGB)black holes in anti-de Sitter(Ad S)spacetime.This approach derives the gravitational partition function by incorporating non-saddle geometries besides the classical solutions.Unlike the sharp transition points seen in free energy calculated via saddlepoint approximation,the ensemble-averaged free energy plotted against temperature shows a smoother behavior,suggesting that black hole phase transitions may be viewed as a small-GN(Newton's gravitational constant)limit of the ensemble theory.This is similar to the behavior of black hole solutions in Einstein's gravity theory in Ad S spacetime.We have obtained an expression for the quantum-corrected free energy for EGB-Ad S black holes,and in the sixdimensional case,we observe a well-defined local minimum after the transition temperature which was absent in the earlier analysis of the classical free energy landscape.Furthermore,we expand the ensemble-averaged free energy in powers of GNto identify non-classical contributions.Our findings indicate that the similarities in the thermodynamic behavior between five-dimensional EGB-Ad S and Reissner-Nordström-Ad S black holes,as well as between sixdimensional EGB-Ad S and Schwarzschild-Ad S black holes,extend beyond the classical regime.