We introduce the DARE-Q(Distribution-Aware Residual Entropy Quantization)method—a post-training quantization method for neural network weights designed to reduce bit-width with minimal degradation of model quality.Un...We introduce the DARE-Q(Distribution-Aware Residual Entropy Quantization)method—a post-training quantization method for neural network weights designed to reduce bit-width with minimal degradation of model quality.Unlike traditional approaches that solely optimize the mean squared error of weight approximation,DARE-Q additionally considers the entropy of the quantization residual,allowing for control over the statistical properties of the resulting error.The method is based on channel-wise symmetric uniform quantization with scaling based on a combined loss function that includes L2 distortion and entropy regularization.The DARE-Q method is implemented as a compact DAREQuantLinear module which can be easily integrated into standard transformer pipelines without changing the inference logic or using specific kernels.The experimental analysis was conducted on the language models facebook/opt-125m and facebook/opt-350m,which contain approximately 125 and 350 million parameters.The quality of the models was assessed using the standard perplexity metric(PPL)computed on the wikitext-2-raw-v1 dataset.DARE-Q is completely data-free and does not require model retraining or calibration data,which makes it the only viable option in privacy-sensitive or confidential environments where access to the original training data is restricted—precisely the setting where methods such as GPTQ and AWQ cannot be applied.The observed increase in PPL relative to data-dependent baselines reflects this fundamental trade-off rather than a shortcoming of the approach.By leveraging per-channel scale selection and a combined loss function,DARE-Q provides a flexible trade-off between approximation accuracy and quantization error structure,creating an attractive algorithmic basis for further improvement of model compression methods.展开更多
Taking into account the Bekenstein-Hawking area law,based on the analysis of Zeng and Liu et al.that area spectrum is determined by the periodicity of an outgoing wave,we discuss on the quantization of entropy from a ...Taking into account the Bekenstein-Hawking area law,based on the analysis of Zeng and Liu et al.that area spectrum is determined by the periodicity of an outgoing wave,we discuss on the quantization of entropy from a neutral black string.In addition,applying the adiabatic invariant quantity method proposed by Majhi and Vagenas,we further verify the entropy quantum of the neutral black string.As a result,two different methods show that the quantum of entropy is △S = 2π,which is in agreement with Bekenstein's proposal.展开更多
High-entropy materials(HEMs)have attracted considerable research attention in battery applications due to exceptional properties such as remarkable structural stability,enhanced ionic conductivity,superior mechanical ...High-entropy materials(HEMs)have attracted considerable research attention in battery applications due to exceptional properties such as remarkable structural stability,enhanced ionic conductivity,superior mechanical strength,and outstanding catalytic activity.These distinctive characteristics render HEMs highly suitable for various battery components,such as electrodes,electrolytes,and catalysts.This review systematically examines recent advances in the application of HEMs for energy storage,beginning with fundamental concepts,historical development,and key definitions.Three principal categories of HEMs,namely high-entropy alloys,high-entropy oxides,and highentropy MXenes,are analyzed with a focus on electrochemical performance metrics such as specific capacity,energy density,cycling stability,and rate capability.The underlying mechanisms by which these materials enhance battery performance are elucidated in the discussion.Furthermore,the pivotal role of machine learning in accelerating the discovery and optimization of novel high-entropy battery materials is highlighted.The review concludes by outlining future research directions and potential breakthroughs in HEM-based battery technologies.展开更多
This paper presents a new wavelet transform image coding method. On the basis of a hierarchical wavelet decomposition of images, entropy constrained vector quantization is employed to encode the wavelet coefficients a...This paper presents a new wavelet transform image coding method. On the basis of a hierarchical wavelet decomposition of images, entropy constrained vector quantization is employed to encode the wavelet coefficients at all the high frequency bands with展开更多
Entropy is a basic thermodynamic property of the electrical double layer(EDL)at metal/solution interfaces,yet,its definition,measurement,and theoretical treatment are dispersed in the literature,and,in some cases,ambi...Entropy is a basic thermodynamic property of the electrical double layer(EDL)at metal/solution interfaces,yet,its definition,measurement,and theoretical treatment are dispersed in the literature,and,in some cases,ambiguous.In this paper,we revisit the thermodynamic theory of EDL,from which two variants of entropy,excess entropy and formation entropy,are obtained and compared.In terms of the formation entropy,two calculation routes are validated in the context of a primitive EDL model,namely,the Gouy-Chapman(GC)model.After clarifying the concepts and calculation routes,we investigate interfacial water effects on the EDL entropy,using a refined Gouy-Chapman-Stern(GCS)model accounting for chemical potential difference between oxygen-and hydrogen-down water molecules,denotedδμ.The model-derived differential capacitance and entropy are compared with experimental data for the EDL at Au(111)in an aqueous electrolyte solution.The model reveals that the charge of maximum entropy(CME)is negative when water molecules have higher tendency to take oxygen-down configuration at the uncharged surface.Moreover,the formation entropy profile becomes asymmetric around the CME,whenδμis potential-dependent.However,the model fails to simultaneously reproduce capacitance and entropy measurements on the same system taken from two separate studies,indicating deficiencies of the model or experimental errors.Nevertheless,this work stresses the importance of measuring both capacitance and entropy of EDLs at the same time.展开更多
High-entropy magnetocaloric alloys offer exceptional compositional flexibility and stability for magnetic refrigeration.However,enhancing their magnetic entropy change,working temperature range,and refrigeration capac...High-entropy magnetocaloric alloys offer exceptional compositional flexibility and stability for magnetic refrigeration.However,enhancing their magnetic entropy change,working temperature range,and refrigeration capacity remains challenging.In this study,we demonstrate that microalloying GdTbDyHo with only 0.4at%nonmagnetic Y effectively addresses this limitation.Our analysis indicates that Y uniformly dissolves into the hexagonal matrix lattice,disrupting the 4f–4f exchange interactions and inducing a local short-range order.This weakens the antiferromagnetic coupling,accelerates the antiferromagnetic–ferromagnetic transition,and broadensits range.Consequently,the peak magnetic entropy change increases from 8.2 to 8.7 J·kg−1·K−1,the working temperature range expands from 77 to 89 K,and the refrigeration capacity improves by 23%,reaching 774 J·kg−1(5 T)relative to the Y-free alloy,while the Néel temperature remains constant(~195 K).This study establishes nonmagnetic microalloying as a cost-effective and scalable strategy for designing high-performance magnetocaloric materials.展开更多
The surface gravity of Schwarzschild black hole can be quantized from the test particle moving around different energy states analog to the Bohr's atomic model. We have quantized the Hawking temperature and entrop...The surface gravity of Schwarzschild black hole can be quantized from the test particle moving around different energy states analog to the Bohr's atomic model. We have quantized the Hawking temperature and entropy of Schwarzschild black hole from quantization of surface gravity. We also have shown that the change of entropy reduces to zero when the boundary shrinks to very small size.展开更多
This study synthesized a high-strength Zr42Ti15Nb20Ta20Al3(at.%)refractory high-entropy alloy(RHEA)via vacuum induction melting.The mechanical behavior of the Zr42Ti15Nb_(2 n)Ta_(2 n)Al3RHEA wa...This study synthesized a high-strength Zr42Ti15Nb20Ta20Al3(at.%)refractory high-entropy alloy(RHEA)via vacuum induction melting.The mechanical behavior of the Zr42Ti15Nb_(2 n)Ta_(2 n)Al3RHEA was systematically investigated through a universal testing machine and split Hopkinson pressure bar system at strain rates up to 5100 s−1,and the temperature change is from 193 K to 673 K.By integrating theoretical derivation and microstructural characterization,we examined the mechanical behavior and deformation mechanisms of the Zr42Ti15Nb_(2 n)Ta_(2 n)Al3RHEA under the synergistic effects of temperature and strain rate.The results demonstrate that the Zr42Ti15Nb_(2 n)Ta_(2 n)Al3RHEA exhibits a significant positive strain rate effect.The dominant deformation mechanism changes with increasing strain rate:cross-slip→localized shear→adiabatic shear.When the strain rate reaches 5100 s−1,the yield strength increases from 1151 MPa to 2112 MPa,and an adiabatic shear band forms.Simultaneously,the microstructure undergoes severe localized deformation,dominated by shear bands,and dynamic recrystallization(DRX)is activated to counteract the deformation.At 193 K,the yield strength is 2241 MPa.Kink bands have appeared,enhancing the ductility of RHEA:the yield strength and the temperature sensitivity coefficient decrease with increasing temperature.However,as the temperature increases,atomic mobility is enhanced,which promotes grain boundary sliding and migration,activating DRX,and effectively mitigating shear localization.This study deepens our understanding of the mechanical properties and deformation mechanisms of the Zr42Ti15Nb20Ta20Al3RHEA.It reveals the microstructure evolution process of the alloy under different strain rates,the synergistic effect of strain rate and temperature,and the influence of strain rate and temperature on the deformation mechanisms of the material.This research lays a theoretical foundation for applying the Zr42Ti15Nb20Ta20Al3RHEA in extreme environments.展开更多
In this paper,under the assumption of unstable almost product property,we shall show that the unstable metric entropy satisfies entropy dense property,i.e.,for any neighbourhood F of a Borel measureμ,and for any posi...In this paper,under the assumption of unstable almost product property,we shall show that the unstable metric entropy satisfies entropy dense property,i.e.,for any neighbourhood F of a Borel measureμ,and for any positive real numberκ,there exists an ergodic measureνin F,such that huν(f)≥hμu(f)-κ.展开更多
Sintering and coking are critical barriers to achieving high performance in dry reforming of methane(DRM)catalysts.A finely dispersed and thermostable Ni-based catalyst is the key to address these issues.By leveraging...Sintering and coking are critical barriers to achieving high performance in dry reforming of methane(DRM)catalysts.A finely dispersed and thermostable Ni-based catalyst is the key to address these issues.By leveraging the intrinsic superiorities of high-entropy oxides in high-temperature stability and low atomic diffusivity,in this study,a highly dispersed Ni-based catalyst is synthesized via an entropycontrolled exsolution of active components.By increasing the number of transition-metal elements in spinel oxides,the active metalsupport interaction(MSI)can be continuously strengthened,which controls the exsolution and thermal stability of Ni-based active metal in harsh reaction conditions of DRM.An optimized medium-entropy spinel(Mg0.4Ni0.2Co0.2Zn0.2)Al2O4with the exsolution of finely dispersed Ni–Co nanoparticles displayed superior activity and stability in thermal DRM at 800°C and photothermal DRM.This entropy-controlled MSI and exsolution principle provides a significant strategy for designing robust catalysts resistant to sintering and coking for high-temperature reactions like DRM in thermal and photothermal systems.展开更多
One-dimensional ensemble dispersion entropy(EDE1D)is an effective nonlinear dynamic analysis method for complexity measurement of time series.However,it is only restricted to assessing the complexity of one-di-mension...One-dimensional ensemble dispersion entropy(EDE1D)is an effective nonlinear dynamic analysis method for complexity measurement of time series.However,it is only restricted to assessing the complexity of one-di-mensional time series(TS1d)with the extracted complexity features only at a single scale.Aiming at these problems,a new nonlinear dynamic analysis method termed two-dimensional composite multi-scale ensemble Gramian dispersion entropy(CMEGDE2D)is proposed in this paper.First,the TS1D is transformed into a two-dimensional image(I2D)by using Gramian angular fields(GAF)with more internal data structures and geometri features,which preserve the global characteristics and time dependence of vibration signals.Second,the I2D is analyzed at multiple scales through the composite coarse-graining method,which overcomes the limitation of a single scale and provides greater stability compared to traditional coarse-graining methods.Subsequently,a new fault diagnosis method of rolling bearing is proposed based on the proposed CMEGDE2D for fault feature ex-traction and the chicken swarm algorithm optimized support vector machine(CsO-SvM)for fault pattern identification.The simulation signals and two data sets of rolling bearings are utilized to verify the effectiveness of the proposed fault diagnosis method.The results demonstrate that the proposed method has stronger dis-crimination ability,higher fault diagnosis accuracy and better stability than the other compared methods.展开更多
The Boltzmann equilibrium distribution is an important rigorous tool for determining entropy, since this function cannot be measured, but only calculated in accordance with Boltzmann's law. On the basis of the commen...The Boltzmann equilibrium distribution is an important rigorous tool for determining entropy, since this function cannot be measured, but only calculated in accordance with Boltzmann's law. On the basis of the commensuration coefficient of discrete and continuous similarly-named distributions developed by the authors, the article analyses the statistical sum in the Boltzmann distribution to the commensuration with the improper integral of the similarly-named function in the full range of the term of series of the statistical sum at the different combination of the temperature and the step of variation (quantum) of the particle energy. The convergence of series based on the Cauchy, Maclaurin criteria and the equal commensuration of series and improper integral of the similarly-named function in each unit interval of variation of series and similarly-named function were estab- lished. The obtained formulas for the commensuration coefficient and statistical sum were analyzed, and a general expres- sion for the total and residual statistical sums, which can be calculated with any given accuracy, is found. Given a direct calculation formula for the Boltzmann distribution, taking into account the values of the improper integral and commensuration coefficient. To determine the entropy from the new expression for the Boltzmann distribution in the form of a series, the conver- gence of the similarly-named improper integral is established. However, the commensuration coefficient of integral and series in each unit interval turns out to be dependent on the number of the term of series and therefore cannot be used to determine the sum of series through the improper integral. In this case, the entropy can be calculated with a given accuracy with a corresponding quantity of the term of series n at a fixed value of the statistical sum. The given accuracy of the statistical sum turns out to be mathematically identical to the fraction of particles with an energy exceeding a given level of the energy barrier equal to the activation energy in the Arrhenius equation. The prospect of development of the proposed method for expressing the Boltzmann distribution and entropy is to establish the relationship between the magnitude of the energy quantum Ae and the properties of the system-forming particles.展开更多
High-entropy alloys(HEAs)have emerged as promising electrocatalysts due to their unique compositional complexity and tunable electronic structures.However,achieving rapid and efficient synthesis of HEA nanoparticles(N...High-entropy alloys(HEAs)have emerged as promising electrocatalysts due to their unique compositional complexity and tunable electronic structures.However,achieving rapid and efficient synthesis of HEA nanoparticles(NPs)with high electrocatalytic activity and understanding their structural and electronic characteristics remains challenging.Here,we report the synthesis of Fe Co Ni Cu Cr HEA NPs via an ultrafast carbon thermal shock(CTS)method.Local structural investigations combining synchrotron pair distribution function(PDF)and X-ray absorption fine structure(XAFS)reveal that incorporating Cr introduces local tetragonal distortions,resulting in residual strain that enhances catalytic performance.This local distortion could be attributed to atomic-scale elemental segregation between Cr and Cu,further stabilizing the structure and improving activity.These synergistic effects,combined with uniform carbon-loaded NPs morphology achieved by the CTS process,enable superior OER performance.This study highlights the role of structural and electronic modulation in HEA catalysts,offering valuable insights for the design of next-generation electrocatalysts.展开更多
High-entropy alloys(HEAs)are recognized for their unique struc-tures and broad compositional flexibility,making them promising ma-terials for electrocatalysis[1].These multi-element systems offer exceptional activity ...High-entropy alloys(HEAs)are recognized for their unique struc-tures and broad compositional flexibility,making them promising ma-terials for electrocatalysis[1].These multi-element systems offer exceptional activity and durability in key energy conversion processes,including methanol oxidation and CO2reduction[2].展开更多
Flexible memristors have played a key role in advancing emerging neuromorphic computing applications in wearable electronics.The core of flexibility in these devices lies in the flexibility of the functional materials...Flexible memristors have played a key role in advancing emerging neuromorphic computing applications in wearable electronics.The core of flexibility in these devices lies in the flexibility of the functional materials,while the inherent brittleness of inorganic oxides presents a critical challenge for the development of flexible oxide memristors.By employing an entropy-engineering strategy to control the amorphization of oxide compositions,a precisely controlled crystalline/amorphous microstructure was obtained,resulting in a flex-ible BaTi0.25Sn0.25Hf0.25Zr0.25O3thin film that can withstand bending angles of up to 180°.Based on this material,an Au/BaTi0.25Sn0.25Hf0.25Zr0.25O3/ITO/Mica device was designed,which functions as a memristor due to the increased oxygen vacancies induced by entropy engineering.Notably,the device consistently exhibits stable resistive switching behavior under both unbent and bent conditions,demonstrating remarkable endurance and reproducibility over multiple bending cycles.This work presents a significant strategy for advancing flexible memristor technologies,holding great promise for the next generation of high-performance flexible electronics.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
Supported noble-metal catalysts often suffer from nanoparticle sintering,resulting in rapid deactivation under high-temperature conditions.We report hierarchically porous spinel type high-entropy oxide(SHEO)nanofibers...Supported noble-metal catalysts often suffer from nanoparticle sintering,resulting in rapid deactivation under high-temperature conditions.We report hierarchically porous spinel type high-entropy oxide(SHEO)nanofibers,(CrMnFeCoMg)3O4,as robust supports for Pt nanoparticles.The porous structure(38.5m2/g)endows thermal stability,preserving porosity after 880℃calcination.The porous Pt/S-HEO-500exhibits exceptional sinter-resistance.Under 500℃calcination,Pt exhibits only a 0.2 nm growth increment,owing to the physical confinement and strong metal-support interactions.For Pt/S-HEO-500,the T50(50%conversion temperature)for CO oxidation was merely 9℃higher than that without calcination,with 100%conversion retained over 100 h of steady-state operation.These findings position porous spinel HEO nanofibers as a versatile platform for designing sinter-resistant noble-metal catalysts in hightemperature applications.展开更多
Developing alternative electrolytes with enhanced ionic conductivity is crucial to reducing the operating temperature of solid oxide fuel cells(SOFCs)for broader applications.Entropy engineering offers many opportunit...Developing alternative electrolytes with enhanced ionic conductivity is crucial to reducing the operating temperature of solid oxide fuel cells(SOFCs)for broader applications.Entropy engineering offers many opportunities for material design,presenting a promising avenue to develop new electrolytes.In this work,two new ceria-based electrolytes,the medium-entropy Sm0.25La0.25Pr0.25Ce0.25O2-δ(SLPC25)and low-entropy Sm0.05La0.05Pr0.05Ce0.85O2-δ(SLPC5)are designed for low-temperature SOFCs using the entropy engineering strategy,with pure CeO2as a reference.It is found that higher configurational entropy leads to enriched oxygen vacancies in the two oxides and thus enhances the ionic transport,which is verified through material characterizations,density functional theory calculations,and cell performance tests.The medium-entropy SLPC25exhibits superior cell performance(836 mW cm-2)and improved ionic conductivity(0.09 S cm-1)at 520℃as compared to those of the low-entropy SLPC5 and CeO2.Further investigation confirms the hybrid proton-oxygen ion conduction and good fuel cell stability of the SLPC25 electrolyte.This study indicates that higher entropy enhances the ionic conductivity and cell performance of ceria-based electrolytes.The entropy engineering strategy used here holds significant potential to develop advanced electrolytes for low-temperature SOFCs.展开更多
High entropy alloy attracts widespread attention due to its excellent mechanical properties.It becomes a new type of alloy material with high application potential,but the grinding performance of High entropy alloy re...High entropy alloy attracts widespread attention due to its excellent mechanical properties.It becomes a new type of alloy material with high application potential,but the grinding performance of High entropy alloy receives little attention.This paper conducts grinding simulation and surface grinding experiments on FeCoCrNi high entropy and alloys to analyze the grinding removal mechanism of the FeCoCrNi-based High entropy alloy.We also discuss the influence of grinding parameters,element types,element content and forming methods on grinding force and sub-surface plastic deformation after grinding.The simulation and experimental results show that as the increase of grinding depth,both tangential grinding force and normal grinding force increase,and the thickness of sub-surface plastic deformation layer decreases.With the increase of grinding speed,both tangential grinding force and normal grinding force decrease,and the thickness of sub-surface plastic deformation layer caused by grinding process shows a trend of gradual decrease.Under the same processing parameters,the normal grinding force is greater than the tangential grinding force.In FeCoCrNi series high entropy alloys,the grinding force and subsurface plastic deformation layer thickness of high entropy alloys increased with the addition in Ti content.The grinding force and plastic deformation formed by adding Ti element are greater than those formed by adding Al element,and High entropy alloys prepared using laser cladding method exhibit greater grinding force and plastic deformation than those prepared using selective laser melting method.The research results provide theoretical reference and experimental basis for high-quality grinding of high entropy alloys,which may be helpful for the design and manufacturing of high entropy alloy parts.展开更多
Conformational entropy,one of the central concepts of polymer physics,is the key to revealing physical characteristics of polymers.Despite an increased repertoire of conformational-entropy effects in the structural fo...Conformational entropy,one of the central concepts of polymer physics,is the key to revealing physical characteristics of polymers.Despite an increased repertoire of conformational-entropy effects in the structural formation,transition,and properties of polymer systems,the physical origin of conformational entropy remains less understood compared to interaction energy and other types of entropy.This review seeks to provide a conceptual framework unveiling several principles and rules of conformational entropy in governing the structures and properties of polymers,from the perspective of fundamental physics and statistical mechanics.First,we focus on the fundamentals of entropy in thermodynamics,leading to the theoretical basis for the elucidation of conformational entropy.Second,we delineate the physical nature of statistics and dissipation of conformational entropy and its essential dependence on the environmental heat bath.Next,we explore the principles of conformational entropy in driving the ordering transitions of various systems of polymers and their nanocomposites,elucidating the emergent and collective behaviors as well as the interplay between energetic interactions and entropy.Moreover,we demonstrate how the concept of conformational entropy is generalized to the biological systems and other soft matters.Finally,we discuss future directions to signify this framework originated from polymers.展开更多
基金supported by grant No.25-71-10012 from the Russian Science Foundation,http://gffzz5363282ec1d94f2dsnncbf6w5xqff66on.ffgz.tsg.suse.edu.cn/project/25-71-10012/.
摘要We introduce the DARE-Q(Distribution-Aware Residual Entropy Quantization)method—a post-training quantization method for neural network weights designed to reduce bit-width with minimal degradation of model quality.Unlike traditional approaches that solely optimize the mean squared error of weight approximation,DARE-Q additionally considers the entropy of the quantization residual,allowing for control over the statistical properties of the resulting error.The method is based on channel-wise symmetric uniform quantization with scaling based on a combined loss function that includes L2 distortion and entropy regularization.The DARE-Q method is implemented as a compact DAREQuantLinear module which can be easily integrated into standard transformer pipelines without changing the inference logic or using specific kernels.The experimental analysis was conducted on the language models facebook/opt-125m and facebook/opt-350m,which contain approximately 125 and 350 million parameters.The quality of the models was assessed using the standard perplexity metric(PPL)computed on the wikitext-2-raw-v1 dataset.DARE-Q is completely data-free and does not require model retraining or calibration data,which makes it the only viable option in privacy-sensitive or confidential environments where access to the original training data is restricted—precisely the setting where methods such as GPTQ and AWQ cannot be applied.The observed increase in PPL relative to data-dependent baselines reflects this fundamental trade-off rather than a shortcoming of the approach.By leveraging per-channel scale selection and a combined loss function,DARE-Q provides a flexible trade-off between approximation accuracy and quantization error structure,creating an attractive algorithmic basis for further improvement of model compression methods.
基金Supported by the Scientific Research Foundation of the Education Department of Liaoning Province under Grant No. L2011195
摘要Taking into account the Bekenstein-Hawking area law,based on the analysis of Zeng and Liu et al.that area spectrum is determined by the periodicity of an outgoing wave,we discuss on the quantization of entropy from a neutral black string.In addition,applying the adiabatic invariant quantity method proposed by Majhi and Vagenas,we further verify the entropy quantum of the neutral black string.As a result,two different methods show that the quantum of entropy is △S = 2π,which is in agreement with Bekenstein's proposal.
基金supported by the Fujian Provincial Science and Technology Planning Project(No.2022HZ027006,No.2024HZ021023)National Natural Science Foundation of China(No.U22A20118).
摘要High-entropy materials(HEMs)have attracted considerable research attention in battery applications due to exceptional properties such as remarkable structural stability,enhanced ionic conductivity,superior mechanical strength,and outstanding catalytic activity.These distinctive characteristics render HEMs highly suitable for various battery components,such as electrodes,electrolytes,and catalysts.This review systematically examines recent advances in the application of HEMs for energy storage,beginning with fundamental concepts,historical development,and key definitions.Three principal categories of HEMs,namely high-entropy alloys,high-entropy oxides,and highentropy MXenes,are analyzed with a focus on electrochemical performance metrics such as specific capacity,energy density,cycling stability,and rate capability.The underlying mechanisms by which these materials enhance battery performance are elucidated in the discussion.Furthermore,the pivotal role of machine learning in accelerating the discovery and optimization of novel high-entropy battery materials is highlighted.The review concludes by outlining future research directions and potential breakthroughs in HEM-based battery technologies.
摘要This paper presents a new wavelet transform image coding method. On the basis of a hierarchical wavelet decomposition of images, entropy constrained vector quantization is employed to encode the wavelet coefficients at all the high frequency bands with
基金supported by the Initiative and Networking Fund of the Helmholtz Association(Grant No.VH-NG-1709)European Research Council(ERC)Starting Grant(MESO-CAT,Grant agreement No.101163405).
摘要Entropy is a basic thermodynamic property of the electrical double layer(EDL)at metal/solution interfaces,yet,its definition,measurement,and theoretical treatment are dispersed in the literature,and,in some cases,ambiguous.In this paper,we revisit the thermodynamic theory of EDL,from which two variants of entropy,excess entropy and formation entropy,are obtained and compared.In terms of the formation entropy,two calculation routes are validated in the context of a primitive EDL model,namely,the Gouy-Chapman(GC)model.After clarifying the concepts and calculation routes,we investigate interfacial water effects on the EDL entropy,using a refined Gouy-Chapman-Stern(GCS)model accounting for chemical potential difference between oxygen-and hydrogen-down water molecules,denotedδμ.The model-derived differential capacitance and entropy are compared with experimental data for the EDL at Au(111)in an aqueous electrolyte solution.The model reveals that the charge of maximum entropy(CME)is negative when water molecules have higher tendency to take oxygen-down configuration at the uncharged surface.Moreover,the formation entropy profile becomes asymmetric around the CME,whenδμis potential-dependent.However,the model fails to simultaneously reproduce capacitance and entropy measurements on the same system taken from two separate studies,indicating deficiencies of the model or experimental errors.Nevertheless,this work stresses the importance of measuring both capacitance and entropy of EDLs at the same time.
基金financially supported by the National Sci-ence Foundation for Young Scientists of China(Nos.52201172,52201171,52401219)the National Science Fund for Distinguished Young Scholars(No.52225103)+4 种基金the National Natural Science Foundation of China(No.52130108)the National Key R&D Program of China(No.2022YFB4602101)the Joint Funds of the National Natural Science Foundation of China(No.U2441262)the Funds for International Cooperation and Exchange of the National Nat-ural Science Foundation of China(No.W2412068)the Fundamental Research Fund for the Central Universities of China(No.FRF-TP-22-001C2).
摘要High-entropy magnetocaloric alloys offer exceptional compositional flexibility and stability for magnetic refrigeration.However,enhancing their magnetic entropy change,working temperature range,and refrigeration capacity remains challenging.In this study,we demonstrate that microalloying GdTbDyHo with only 0.4at%nonmagnetic Y effectively addresses this limitation.Our analysis indicates that Y uniformly dissolves into the hexagonal matrix lattice,disrupting the 4f–4f exchange interactions and inducing a local short-range order.This weakens the antiferromagnetic coupling,accelerates the antiferromagnetic–ferromagnetic transition,and broadensits range.Consequently,the peak magnetic entropy change increases from 8.2 to 8.7 J·kg−1·K−1,the working temperature range expands from 77 to 89 K,and the refrigeration capacity improves by 23%,reaching 774 J·kg−1(5 T)relative to the Y-free alloy,while the Néel temperature remains constant(~195 K).This study establishes nonmagnetic microalloying as a cost-effective and scalable strategy for designing high-performance magnetocaloric materials.
摘要The surface gravity of Schwarzschild black hole can be quantized from the test particle moving around different energy states analog to the Bohr's atomic model. We have quantized the Hawking temperature and entropy of Schwarzschild black hole from quantization of surface gravity. We also have shown that the change of entropy reduces to zero when the boundary shrinks to very small size.
基金financially supported by the National Natural Science Foundation of China(No.12202207)the Natural Science Foundation of Jiangsu Province(No.BK20220968)+1 种基金the Liaoning Re-vitalization Talent Program(No.XLYC2202021)Postgraduate Research&Practice Innovation Program of Jiangsu Province(No.SJCX_0147).
摘要This study synthesized a high-strength Zr42Ti15Nb20Ta20Al3(at.%)refractory high-entropy alloy(RHEA)via vacuum induction melting.The mechanical behavior of the Zr42Ti15Nb_(2 n)Ta_(2 n)Al3RHEA was systematically investigated through a universal testing machine and split Hopkinson pressure bar system at strain rates up to 5100 s−1,and the temperature change is from 193 K to 673 K.By integrating theoretical derivation and microstructural characterization,we examined the mechanical behavior and deformation mechanisms of the Zr42Ti15Nb_(2 n)Ta_(2 n)Al3RHEA under the synergistic effects of temperature and strain rate.The results demonstrate that the Zr42Ti15Nb_(2 n)Ta_(2 n)Al3RHEA exhibits a significant positive strain rate effect.The dominant deformation mechanism changes with increasing strain rate:cross-slip→localized shear→adiabatic shear.When the strain rate reaches 5100 s−1,the yield strength increases from 1151 MPa to 2112 MPa,and an adiabatic shear band forms.Simultaneously,the microstructure undergoes severe localized deformation,dominated by shear bands,and dynamic recrystallization(DRX)is activated to counteract the deformation.At 193 K,the yield strength is 2241 MPa.Kink bands have appeared,enhancing the ductility of RHEA:the yield strength and the temperature sensitivity coefficient decrease with increasing temperature.However,as the temperature increases,atomic mobility is enhanced,which promotes grain boundary sliding and migration,activating DRX,and effectively mitigating shear localization.This study deepens our understanding of the mechanical properties and deformation mechanisms of the Zr42Ti15Nb20Ta20Al3RHEA.It reveals the microstructure evolution process of the alloy under different strain rates,the synergistic effect of strain rate and temperature,and the influence of strain rate and temperature on the deformation mechanisms of the material.This research lays a theoretical foundation for applying the Zr42Ti15Nb20Ta20Al3RHEA in extreme environments.
摘要In this paper,under the assumption of unstable almost product property,we shall show that the unstable metric entropy satisfies entropy dense property,i.e.,for any neighbourhood F of a Borel measureμ,and for any positive real numberκ,there exists an ergodic measureνin F,such that huν(f)≥hμu(f)-κ.
基金supported by the National Key R&D Program of China(2023YFB4104600)National Natural Science Foundation of China(52572313)+1 种基金Tangshan Talent Funding Project(A202202007)Shenzhen Science and Technology Innovation Commission under Grant No.20231120185819001。
摘要Sintering and coking are critical barriers to achieving high performance in dry reforming of methane(DRM)catalysts.A finely dispersed and thermostable Ni-based catalyst is the key to address these issues.By leveraging the intrinsic superiorities of high-entropy oxides in high-temperature stability and low atomic diffusivity,in this study,a highly dispersed Ni-based catalyst is synthesized via an entropycontrolled exsolution of active components.By increasing the number of transition-metal elements in spinel oxides,the active metalsupport interaction(MSI)can be continuously strengthened,which controls the exsolution and thermal stability of Ni-based active metal in harsh reaction conditions of DRM.An optimized medium-entropy spinel(Mg0.4Ni0.2Co0.2Zn0.2)Al2O4with the exsolution of finely dispersed Ni–Co nanoparticles displayed superior activity and stability in thermal DRM at 800°C and photothermal DRM.This entropy-controlled MSI and exsolution principle provides a significant strategy for designing robust catalysts resistant to sintering and coking for high-temperature reactions like DRM in thermal and photothermal systems.
基金Supported by the National Natural Science Foundation of China(Grant No.51975004)the Outstanding Youth Fund of Universities in Anhui Province of China(Grant No.2022AH020032).
摘要One-dimensional ensemble dispersion entropy(EDE1D)is an effective nonlinear dynamic analysis method for complexity measurement of time series.However,it is only restricted to assessing the complexity of one-di-mensional time series(TS1d)with the extracted complexity features only at a single scale.Aiming at these problems,a new nonlinear dynamic analysis method termed two-dimensional composite multi-scale ensemble Gramian dispersion entropy(CMEGDE2D)is proposed in this paper.First,the TS1D is transformed into a two-dimensional image(I2D)by using Gramian angular fields(GAF)with more internal data structures and geometri features,which preserve the global characteristics and time dependence of vibration signals.Second,the I2D is analyzed at multiple scales through the composite coarse-graining method,which overcomes the limitation of a single scale and provides greater stability compared to traditional coarse-graining methods.Subsequently,a new fault diagnosis method of rolling bearing is proposed based on the proposed CMEGDE2D for fault feature ex-traction and the chicken swarm algorithm optimized support vector machine(CsO-SvM)for fault pattern identification.The simulation signals and two data sets of rolling bearings are utilized to verify the effectiveness of the proposed fault diagnosis method.The results demonstrate that the proposed method has stronger dis-crimination ability,higher fault diagnosis accuracy and better stability than the other compared methods.
摘要The Boltzmann equilibrium distribution is an important rigorous tool for determining entropy, since this function cannot be measured, but only calculated in accordance with Boltzmann's law. On the basis of the commensuration coefficient of discrete and continuous similarly-named distributions developed by the authors, the article analyses the statistical sum in the Boltzmann distribution to the commensuration with the improper integral of the similarly-named function in the full range of the term of series of the statistical sum at the different combination of the temperature and the step of variation (quantum) of the particle energy. The convergence of series based on the Cauchy, Maclaurin criteria and the equal commensuration of series and improper integral of the similarly-named function in each unit interval of variation of series and similarly-named function were estab- lished. The obtained formulas for the commensuration coefficient and statistical sum were analyzed, and a general expres- sion for the total and residual statistical sums, which can be calculated with any given accuracy, is found. Given a direct calculation formula for the Boltzmann distribution, taking into account the values of the improper integral and commensuration coefficient. To determine the entropy from the new expression for the Boltzmann distribution in the form of a series, the conver- gence of the similarly-named improper integral is established. However, the commensuration coefficient of integral and series in each unit interval turns out to be dependent on the number of the term of series and therefore cannot be used to determine the sum of series through the improper integral. In this case, the entropy can be calculated with a given accuracy with a corresponding quantity of the term of series n at a fixed value of the statistical sum. The given accuracy of the statistical sum turns out to be mathematically identical to the fraction of particles with an energy exceeding a given level of the energy barrier equal to the activation energy in the Arrhenius equation. The prospect of development of the proposed method for expressing the Boltzmann distribution and entropy is to establish the relationship between the magnitude of the energy quantum Ae and the properties of the system-forming particles.
基金financially supported by the National Natural Science Foundation of China(Nos.22275089,52222104,12261160364)the Fundamental Research Funds for the Central Universities(No.30922010307)。
摘要High-entropy alloys(HEAs)have emerged as promising electrocatalysts due to their unique compositional complexity and tunable electronic structures.However,achieving rapid and efficient synthesis of HEA nanoparticles(NPs)with high electrocatalytic activity and understanding their structural and electronic characteristics remains challenging.Here,we report the synthesis of Fe Co Ni Cu Cr HEA NPs via an ultrafast carbon thermal shock(CTS)method.Local structural investigations combining synchrotron pair distribution function(PDF)and X-ray absorption fine structure(XAFS)reveal that incorporating Cr introduces local tetragonal distortions,resulting in residual strain that enhances catalytic performance.This local distortion could be attributed to atomic-scale elemental segregation between Cr and Cu,further stabilizing the structure and improving activity.These synergistic effects,combined with uniform carbon-loaded NPs morphology achieved by the CTS process,enable superior OER performance.This study highlights the role of structural and electronic modulation in HEA catalysts,offering valuable insights for the design of next-generation electrocatalysts.
基金financial support from the National Natural Science Foundation of China(Youth Program,No.22309209)the Natural Science Foundation of Hunan Province(No.2023JJ40709).
摘要High-entropy alloys(HEAs)are recognized for their unique struc-tures and broad compositional flexibility,making them promising ma-terials for electrocatalysis[1].These multi-element systems offer exceptional activity and durability in key energy conversion processes,including methanol oxidation and CO2reduction[2].
基金financially supported by the Basic Science Center Project of the National Natural Science Foundation of China(52388201)China Postdoctoral Science Foundation(2024M761648)。
摘要Flexible memristors have played a key role in advancing emerging neuromorphic computing applications in wearable electronics.The core of flexibility in these devices lies in the flexibility of the functional materials,while the inherent brittleness of inorganic oxides presents a critical challenge for the development of flexible oxide memristors.By employing an entropy-engineering strategy to control the amorphization of oxide compositions,a precisely controlled crystalline/amorphous microstructure was obtained,resulting in a flex-ible BaTi0.25Sn0.25Hf0.25Zr0.25O3thin film that can withstand bending angles of up to 180°.Based on this material,an Au/BaTi0.25Sn0.25Hf0.25Zr0.25O3/ITO/Mica device was designed,which functions as a memristor due to the increased oxygen vacancies induced by entropy engineering.Notably,the device consistently exhibits stable resistive switching behavior under both unbent and bent conditions,demonstrating remarkable endurance and reproducibility over multiple bending cycles.This work presents a significant strategy for advancing flexible memristor technologies,holding great promise for the next generation of high-performance flexible electronics.
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financially supported by the National Key Research and Development Program of China(No.2022YFA1505700)the National Natural Science Foundation of China(No.22475044)+1 种基金the Project of Qinglan Talent of Jiangsu,Pre-Research Fund of Ministry of Education of China(No.8091B022212)the Postgraduate Research&Practice Innovation Program of Jiangsu Province(No.KYCX22_0261)。
摘要Supported noble-metal catalysts often suffer from nanoparticle sintering,resulting in rapid deactivation under high-temperature conditions.We report hierarchically porous spinel type high-entropy oxide(SHEO)nanofibers,(CrMnFeCoMg)3O4,as robust supports for Pt nanoparticles.The porous structure(38.5m2/g)endows thermal stability,preserving porosity after 880℃calcination.The porous Pt/S-HEO-500exhibits exceptional sinter-resistance.Under 500℃calcination,Pt exhibits only a 0.2 nm growth increment,owing to the physical confinement and strong metal-support interactions.For Pt/S-HEO-500,the T50(50%conversion temperature)for CO oxidation was merely 9℃higher than that without calcination,with 100%conversion retained over 100 h of steady-state operation.These findings position porous spinel HEO nanofibers as a versatile platform for designing sinter-resistant noble-metal catalysts in hightemperature applications.
基金supported by the National Natural Science Foundation of China(Grant No.22109022)the Fundamental Research Funds for the Central Universities(Grant No.2242022k30063)+2 种基金Hubei Provincial Natural Science Foundation of China(Grant No.2024AFB1042)the innovation group project of the Natural Science Foundation of Hubei Province of China(Grant No.2024AFA037)the Postgraduate Research and Practice Innovation Program of Jiangsu Province(Grant No.SJCX23_0061)。
摘要Developing alternative electrolytes with enhanced ionic conductivity is crucial to reducing the operating temperature of solid oxide fuel cells(SOFCs)for broader applications.Entropy engineering offers many opportunities for material design,presenting a promising avenue to develop new electrolytes.In this work,two new ceria-based electrolytes,the medium-entropy Sm0.25La0.25Pr0.25Ce0.25O2-δ(SLPC25)and low-entropy Sm0.05La0.05Pr0.05Ce0.85O2-δ(SLPC5)are designed for low-temperature SOFCs using the entropy engineering strategy,with pure CeO2as a reference.It is found that higher configurational entropy leads to enriched oxygen vacancies in the two oxides and thus enhances the ionic transport,which is verified through material characterizations,density functional theory calculations,and cell performance tests.The medium-entropy SLPC25exhibits superior cell performance(836 mW cm-2)and improved ionic conductivity(0.09 S cm-1)at 520℃as compared to those of the low-entropy SLPC5 and CeO2.Further investigation confirms the hybrid proton-oxygen ion conduction and good fuel cell stability of the SLPC25 electrolyte.This study indicates that higher entropy enhances the ionic conductivity and cell performance of ceria-based electrolytes.The entropy engineering strategy used here holds significant potential to develop advanced electrolytes for low-temperature SOFCs.
基金Supported by National Natural Science Foundation of China(Grant No.52275412)Fundamental Research Funds for the Central Universities of China(Grant No.N2403015).
摘要High entropy alloy attracts widespread attention due to its excellent mechanical properties.It becomes a new type of alloy material with high application potential,but the grinding performance of High entropy alloy receives little attention.This paper conducts grinding simulation and surface grinding experiments on FeCoCrNi high entropy and alloys to analyze the grinding removal mechanism of the FeCoCrNi-based High entropy alloy.We also discuss the influence of grinding parameters,element types,element content and forming methods on grinding force and sub-surface plastic deformation after grinding.The simulation and experimental results show that as the increase of grinding depth,both tangential grinding force and normal grinding force increase,and the thickness of sub-surface plastic deformation layer decreases.With the increase of grinding speed,both tangential grinding force and normal grinding force decrease,and the thickness of sub-surface plastic deformation layer caused by grinding process shows a trend of gradual decrease.Under the same processing parameters,the normal grinding force is greater than the tangential grinding force.In FeCoCrNi series high entropy alloys,the grinding force and subsurface plastic deformation layer thickness of high entropy alloys increased with the addition in Ti content.The grinding force and plastic deformation formed by adding Ti element are greater than those formed by adding Al element,and High entropy alloys prepared using laser cladding method exhibit greater grinding force and plastic deformation than those prepared using selective laser melting method.The research results provide theoretical reference and experimental basis for high-quality grinding of high entropy alloys,which may be helpful for the design and manufacturing of high entropy alloy parts.
基金financially supported by the National Natural Science Foundation of China (Nos. 22533003 and 22025302)financial support from the Ministry of Science and Technology of China (No. 2022YFA1203203)State Key Laboratory of Chemical Engineering (No. SKL-ChE23T01).
摘要Conformational entropy,one of the central concepts of polymer physics,is the key to revealing physical characteristics of polymers.Despite an increased repertoire of conformational-entropy effects in the structural formation,transition,and properties of polymer systems,the physical origin of conformational entropy remains less understood compared to interaction energy and other types of entropy.This review seeks to provide a conceptual framework unveiling several principles and rules of conformational entropy in governing the structures and properties of polymers,from the perspective of fundamental physics and statistical mechanics.First,we focus on the fundamentals of entropy in thermodynamics,leading to the theoretical basis for the elucidation of conformational entropy.Second,we delineate the physical nature of statistics and dissipation of conformational entropy and its essential dependence on the environmental heat bath.Next,we explore the principles of conformational entropy in driving the ordering transitions of various systems of polymers and their nanocomposites,elucidating the emergent and collective behaviors as well as the interplay between energetic interactions and entropy.Moreover,we demonstrate how the concept of conformational entropy is generalized to the biological systems and other soft matters.Finally,we discuss future directions to signify this framework originated from polymers.