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Effects of thermal exchange-correlation functional on thermodynamic quantities of warm dense beryllium 认领 引用
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作者 Chang Gao Shen Zhang +4 位作者 Zhen-Guo Fu Haijun Huang X.T.He Weiyan Zhang Wei Kang 《Matter and Radiation at Extremes》 SCIE EI CAS CSCD 2026年第3期46-56,共11页
We report thermodynamic properties,including equation of state,principal Hugoniot,heat capacity,and Grüneisen parameter,for beryllium under density-temperature conditions of ρ=3.0-9.0 g/cm3 and T=5-10000 eV,u... We report thermodynamic properties,including equation of state,principal Hugoniot,heat capacity,and Grüneisen parameter,for beryllium under density-temperature conditions of ρ=3.0-9.0 g/cm3 and T=5-10000 eV,using an extended first-principles molecular dynamics method together with finite-temperature exchange-correlation functionals.Compared with zero-temperature exchange-correlation models,our results exhibit appreciable differences of about 3%in modeling the equation of state.Thermal excitations of K-shell electrons,delocalization of wave functions,and the merging of energy bands for beryllium along the Hugoniot curve are also presented.In addition to the application of these thermodynamic data to inertial confinement fusion and high-energy-density physics,our results may also serve as useful benchmarks for investigating thermal exchange-correlation effects on thermodynamic properties of warm dense matter,and further help to elucidate the mechanisms of inner-shell electron excitation. 展开更多
关键词 equation stateprincipal hugoniotheat principal hugoniot equation state Gr neisen parameter modeling equation statethermal excitations heat capacity thermodynamic properties thermal exchange correlation functional
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Femtoscopic Correlation Functions for General Partial Waves:Application to the Ʌ(1520) Resonance 认领 引用
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作者 Si-Wei Liu Ju-Jun Xie 《Chinese Physics Letters》 SCIE EI CAS CSCD 2026年第5期18-24,共7页
The femtoscopic correlation function has been established in recent years as a high-precision tool for investigating hadrons hadron interactions and exotic states,providing stringent constraints on the dynamics of low... The femtoscopic correlation function has been established in recent years as a high-precision tool for investigating hadrons hadron interactions and exotic states,providing stringent constraints on the dynamics of low-energy strong interactions.However,current research has been predominantly focused on the s-wave interaction between hadrons,while studies of higher partial waves remain scarce.We present a general analytical expression for the femtoscopic correlation function in an arbitrary partial wave using the Lippmanns Schwinger equation.This formalism is applied to constrain the d-wave K-p scattering through a combined study of the K-p correlation function and the D03scattering amplitude of KN→KN and KN→π∑processes,from which the properties ofɅ(1520)are extracted and found to be in good agreement with the experimental results.These findings demonstrate the feasibility of determining dynamics between hadrons through femtoscopic correlation functions and scattering amplitudes with higher partial waves. 展开更多
关键词 investigating hadrons hadron Lippmann Schwinger equation femtoscopic correlation function K p scattering partial wave d wave
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Predicting Macroscopic Properties of Amorphous Monolayer Carbon via Pair Correlation Function 认领 引用
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作者 Mouyang Cheng Chenyan Wang +4 位作者 Chenxin Qin Yuxiang Zhang Qingyuan Zhang Han Li Ji Chen 《Chinese Physics Letters》 SCIE EI CAS CSCD 2025年第6期78-101,共24页
Establishing the structure-property relationship in amorphous materials has been a long-term grand challenge due to the lack of a unified description of the degree of disorder.In this work,we develop SPRamNet,a neural... Establishing the structure-property relationship in amorphous materials has been a long-term grand challenge due to the lack of a unified description of the degree of disorder.In this work,we develop SPRamNet,a neural network based machine-learning pipeline that effectively predicts structure-property relationship of amorphous material via global descriptors.Applying SPRamNet on the recently discovered amorphous monolayer carbon,we successfully predict the thermal and electronic properties.More importantly,we reveal that a short range of pair correlation function can readily encode sufficiently rich information of the structure of amorphous material.Utilizing powerful machine learning architectures,the encoded information can be decoded to reconstruct macroscopic properties involving many-body and long-range interactions.Establishing this hidden relationship offers a unified description of the degree of disorder and eliminates the heavy burden of measuring atomic structure,opening a new avenue in studying amorphous materials. 展开更多
关键词 neural network machine learning amorphous materials global descriptorsapplying amorphous monolayer carbonwe degree disorderin amorphous material pair correlation function
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Algorithm for computing time correlation functions in non-stationary complex dynamic systems 认领 引用
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作者 Jiu Zhang Lifu Jin +4 位作者 Bo Zheng Xiongfei Jiang Tingting Chen Cong Xu Yanqing Hu 《Chinese Physics B》 SCIE EI CAS CSCD 2025年第3期77-83,共7页
For non-stationary complex dynamic systems,a standardized algorithm is developed to compute time correlation functions,addressing the limitations of traditional methods reliant on the stationary assumption.The propose... For non-stationary complex dynamic systems,a standardized algorithm is developed to compute time correlation functions,addressing the limitations of traditional methods reliant on the stationary assumption.The proposed algorithm integrates two-point and multi-point time correlation functions into a unified framework.Further,it is verified by a practical application in complex financial systems,demonstrating its potential in various complex dynamic systems. 展开更多
关键词 complex dynamic systems non-stationary states time correlation functions
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Weighted Multi-sensor Data Level Fusion Method of Vibration Signal Based on Correlation Function 认领 引用 被引量：8
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作者 BIN Guangfu JIANG Zhinong +1 位作者 LI Xuejun DHILLON B S 《Chinese Journal of Mechanical Engineering》 SCIE EI CAS CSCD 2011年第5期899-904,共6页
As the differences of sensor＇s precision and some random factors are difficult to control,the actual measurement signals are far from the target signals that affect the reliability and precision of rotating machinery... As the differences of sensor＇s precision and some random factors are difficult to control,the actual measurement signals are far from the target signals that affect the reliability and precision of rotating machinery fault diagnosis.The traditional signal processing methods,such as classical inference and weighted averaging algorithm usually lack dynamic adaptability that is easy for trends to cause the faults to be misjudged or left out.To enhance the measuring veracity and precision of vibration signal in rotary machine multi-sensor vibration signal fault diagnosis,a novel data level fusion approach is presented on the basis of correlation function analysis to fast determine the weighted value of multi-sensor vibration signals.The approach doesn＇t require knowing the prior information about sensors,and the weighted value of sensors can be confirmed depending on the correlation measure of real-time data tested in the data level fusion process.It gives greater weighted value to the greater correlation measure of sensor signals,and vice versa.The approach can effectively suppress large errors and even can still fuse data in the case of sensor failures because it takes full advantage of sensor＇s own-information to determine the weighted value.Moreover,it has good performance of anti-jamming due to the correlation measures between noise and effective signals are usually small.Through the simulation of typical signal collected from multi-sensors,the comparative analysis of dynamic adaptability and fault tolerance between the proposed approach and traditional weighted averaging approach is taken.Finally,the rotor dynamics and integrated fault simulator is taken as an example to verify the feasibility and advantages of the proposed approach,it is shown that the multi-sensor data level fusion based on correlation function weighted approach is better than the traditional weighted average approach with respect to fusion precision and dynamic adaptability.Meantime,the approach is adaptable and easy to use,can be applied to other areas of vibration measurement. 展开更多
关键词 vibration signal multi-sensor data level fusion correlation function weighted value
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Criterion for Blind Signals Separation Based on Correlation Function 认领 引用 被引量：1
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作者 宋友 柳重堪 李其汉 《Chinese Journal of Aeronautics》 EI CAS 2003年第3期162-168,共7页
Blind separation of source signals usually relies either on the condition of statistically independence or involving their higher-order cumulants. The model of two channels signal separation is considered. A criterion... Blind separation of source signals usually relies either on the condition of statistically independence or involving their higher-order cumulants. The model of two channels signal separation is considered. A criterion based on correlation functions is proposed. It is proved that the signals can be separated, using only the condition of noncorrelation. An algorithm is derived, which only involves the solution to quadric nonlinear equations. 展开更多
关键词 blind signals separation independent component analysis cumulants correlation function
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Boundary Correlation Functions of the gl(1|1)Supersymmetric Vertex Model 认领 引用 被引量：1
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作者 ZHANG Chen-Jun ZHOU Jian-Hua YUE Rui-Hong 《Communications in Theoretical Physics》 SCIE CAS 2008年第7期17-22,共6页
The gl(1/1)supersymmetric vertex model with domain wall boundary conditions(DWBC)on an N×N square lattice is considered.We derive the reduction formulae for the one-point boundary correlation functions of the mod... The gl(1/1)supersymmetric vertex model with domain wall boundary conditions(DWBC)on an N×N square lattice is considered.We derive the reduction formulae for the one-point boundary correlation functions of the model.The determinant representation for the boundary correlation functions is also obtained. 展开更多
关键词 domain wall boundary conditions partition function boundary correlation function
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Simulation study of the two-time intensity correlation function of a two-mode laser system with both pump and quantum noises 认领 引用 被引量：1
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作者 向友林 梅冬成 《Chinese Physics B》 SCIE EI CAS 2010年第1期131-135,共5页
This paper investigates the two-time intensity correlation function of a two-mode ring laser system subjected to both pump and quantum noises by stochastic simulation. It finds that the decay rate of the intensity cor... This paper investigates the two-time intensity correlation function of a two-mode ring laser system subjected to both pump and quantum noises by stochastic simulation. It finds that the decay rate of the intensity correlation function of one mode gets faster with decreasing values of relevant parameters, i.e., the coupling constant ξ, the cross-correlation coefficient A, the difference of the pump parameters Aa and the pump parameter al; however, its variations get complex in the other mode when relevant parameters are changed. The investigating results also show that the effects of the mode competition on intensity correlation function are obvious. 展开更多
关键词 two-mode laser correlated noises correlation function
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Temporal variation of noise correlation function(NCF) in Beijing and surroundings:Its relation with climate events and implications 认领 引用 被引量：1
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作者 Changsheng Jiang Zhongliang Wu 《Earthquake Science》 2009年第1期75-81,共7页
Noise correlation function （NCF） was calculated using the data of the Beijing Capital-Area Telemetered Digital Seismograph Network from June 12 to September 12, 2005. Signal-to-noise ratio （SNR） is used to charact... Noise correlation function （NCF） was calculated using the data of the Beijing Capital-Area Telemetered Digital Seismograph Network from June 12 to September 12, 2005. Signal-to-noise ratio （SNR） is used to characterize the quality of NCF at each station pair. The SNR （in dB） is shown to be dependent on the separation distance R of the station pair via SNR= A -BlogR. ＇Normalized average SNR＇ for all the station pairs can then be calculated, as represented by the value of SNR taking R = 250 km in the empirical SNR-R relation, to measure the overall quality of the NCF result. The ＇normalized average SNR＇ of the NCF shows temporal variation and is apparently dependent on the root-mean-square （RMS） velocity of the microseism. The result obtained by this experiment provides clues to the explanation of the properties of NCF, such as the dominant mechanism underlying （diffuse wave fields or uncorrelated sources）, and the dependence of SNR on the time length of recordings. 展开更多
关键词 noise correlation function Beijing and surroundings signal-to-noise ratio
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Intensity Correlation Function of a Single-Mode Laser Driven by Colored Cross-Correlation Noises in Modulation of a Bias Signal 认领 引用
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作者 HANLi-Bo CAOLi +1 位作者 YANGHong-Quan WUDa-Jin 《Communications in Theoretical Physics》 SCIE CAS 2005年第4期666-670,共5页
By using the linear approximation method, the intensity correlation function is calculated for a single-mode laser modulated by a bias signal and driven by colored pump and quantum noises with colored cross-correlatio... By using the linear approximation method, the intensity correlation function is calculated for a single-mode laser modulated by a bias signal and driven by colored pump and quantum noises with colored cross-correlation. We found that, when the correlation time between the two noises is very short, the behavior of the intensity correlation function versus the time, in addition to decreasing monotonously, also exhibits several cases, such as one maximum, one minimum, and two extrema. When the correlation time between the two noises is very long, the behavior of the intensity correlation function exhibits oscillation and the envelope is similar to the case of short cross-correlation time. 展开更多
关键词 linear approximation method intensity correlation function bias signal modulation oscillation
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Simulation study of the effects of time delay on the correlation function of a bistable system with correlated noises 认领 引用
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作者 杜鲁春 戴祖诚 梅冬成 《Chinese Physics B》 SCIE EI CAS 2010年第8期151-155,共5页
The effects of time delay on the fluctuation properties of a bistable system are investigated by simulating its normalised correlation function C（s）. Three cases including linear delay, cubic delay and global delay ... The effects of time delay on the fluctuation properties of a bistable system are investigated by simulating its normalised correlation function C（s）. Three cases including linear delay, cubic delay and global delay in the system are considered respectively. The simulation results indicate that the linear delay enhances the fluctuation of the system （reduces the stability of the system） while the cubic delay and global delay weaken it （enforce the stability of the system）, and the effect of cubic delay is more pronounced than the linear delay and global delay. 展开更多
关键词 bistable system time delay correlation function
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Correlation Functions of an Autonomous Stochastic System with Nonlinear Time Delays 认领 引用
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作者 朱平 朱毅杰 《Communications in Theoretical Physics》 SCIE CAS CSCD 2015年第2期181-187,共7页
The auto-correlation function and the cross-correlation of an autonomous stochastic system with nonlinear time-delayed feedback are investigated by using the stochastic simulation method. There are prominent differenc... The auto-correlation function and the cross-correlation of an autonomous stochastic system with nonlinear time-delayed feedback are investigated by using the stochastic simulation method. There are prominent differences be- tween the roles of quadratic time-delayed feedback and cubic time-delayed feedback on the correlations of an autonomous stochastic system. Under quadratic time-delayed feedback, the nonlinear time delay fails to improve the noisy state of the autonomous stochastic system, the auto-correlation decreases monotonously to zero, and the cross-correlation increases monotonously to zero with the decay time. Under cubic time-delayed feedback, the nonlinear time delay can improve the noisy state of the autonomous stochastic system; the auto-correlation and the cross-correlation show periodical oscillation and attenuation, finally tending to zero with the decay time. Comparing the correlations of the system between with nonfinear time-delayed feedback and linear time-delayed feedback, we find that nonlinear time-delayed feedback lowers the correlation strength of the autonomous stochastic system. 展开更多
关键词 autonomous system noise nonlinear time delay correlation functions stochastic simulation
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Second-Order Correlation Function for Asymmetric-to-Symmetric Transitions due to Spectrally Indistinguishable Biexciton Cascade Emission 认领 引用
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作者 武雪飞 窦秀明 +7 位作者 丁琨 周鹏宇 倪海桥 牛智川 朱海军 江德生 赵翠兰 孙宝权 《Chinese Physics Letters》 SCIE EI CAS CSCD 2015年第12期65-69,共5页
We report the observed photon bunching statistics of biexciton cascade emission at zero time delay in single quantum dots by second-order correlation function g（2） （T） measurements under continuous wave excitation... We report the observed photon bunching statistics of biexciton cascade emission at zero time delay in single quantum dots by second-order correlation function g（2） （T） measurements under continuous wave excitation. It is found that the bunching phenomenon is independent of the biexciton binding energy when it varies from 0.59 meV to nearly zero. The photon bunching takes place when the exeiton photon is not spectrally distinguishable from the biexciton photon, and either of them can trigger the %tart＇ in a Hanbury-Brown and Twiss setup. However, if the exciton energy is spectrally distinguishable from the biexciton, the photon statistics will become asymmetric and a cross-bunching lineshape can be obtained. The theoretical calculations based on a model of three-level rate-equation analysis are consistent with the result of g（2）（τ） correlation function measurements. 展开更多
关键词 Second-Order Correlation Function for Asymmetric-to-Symmetric Transitions due to Spectrally Indistinguishable Biexciton Cascade Emission
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Spin-correlation function of the fully frustrated Ising model and ±J Ising spin glass on a square lattice 认领 引用 被引量：2
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作者 M Y Ali J Poulter 《Chinese Physics B》 SCIE EI CAS CSCD 2013年第6期549-552,共4页
In this work we study the correlation function of the ground state of a two-dimensional fully frustrated Ising model as well as spin glass. The Pfaffian method is used to calculate free energy and entropy as well as t... In this work we study the correlation function of the ground state of a two-dimensional fully frustrated Ising model as well as spin glass. The Pfaffian method is used to calculate free energy and entropy as well as the correlation function. We estimate the exponent of spin correlation function for the fully frustrated model and spin glass. In this paper an overview of the latest results on the spin correlation function is presented. 展开更多
关键词 spin glass correlation function exponent square lattice
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Momentum distribution and non-local high order correlation functions of 1D strongly interacting Bose gas 认领 引用
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作者 EJKP Nandani Xi-Wen Guan 《Chinese Physics B》 SCIE EI CAS CSCD 2018年第7期138-151,共14页
The Lieb-Liniger model is a prototypical integrable model and has been turned into the benchmark physics in theoretical and numerical investigations of low-dimensional quantum systems. In this note, we present various... The Lieb-Liniger model is a prototypical integrable model and has been turned into the benchmark physics in theoretical and numerical investigations of low-dimensional quantum systems. In this note, we present various methods for calculating local and nonlocal M-particle correlation functions, momentum distribution, and static structure factor. In particular, using the Bethe ansatz wave function of the strong coupling Lieb-Liniger model, we analytically calculate the two-point correlation function, the large moment tail of the momentum distribution, and the static structure factor of the model in terms of the fractional statistical parameter a = 1 - 2/γ, where γ, is the dimensionless interaction strength. We also discuss the Tan＇s adiabatic relation and other universal relations for the strongly repulsive Lieb-Liniger model in terms of the fractional statistical parameter. 展开更多
关键词 correlation function momentum distributions structure factor contact
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Dynamical correlation functions of the quadratic coupling spin-Boson model 认领 引用
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作者 郑大川 同宁华 《Chinese Physics B》 SCIE EI CAS CSCD 2017年第6期81-86,共6页
The spin-boson model with quadratic coupling is studied using the bosonic numerical renormalization group method.We focus on the dynamical auto-correlation functions CO（ω）, with the operator taken as σx, σz, an... The spin-boson model with quadratic coupling is studied using the bosonic numerical renormalization group method.We focus on the dynamical auto-correlation functions CO（ω）, with the operator taken as σx, σz, and X, respectively. In the weak-coupling regime α 〈 αc, these functions show power law ω-dependence in the small frequency limit, with the powers 1 ＋ 2s, 1 ＋ 2s, and s, respectively. At the critical point α = αc of the boson-unstable quantum phase transition, the critical exponents yO of these correlation functions are obtained as yσx= yσz= 1-2s and yX=-s, respectively. Here s is the bath index and X is the boson displacement operator. Close to the spin flip point, the high frequency peak of Cσx（ω） is broadened significantly and the line shape changes qualitatively, showing enhanced dephasing at the spin flip point. 展开更多
关键词 quadratic-coupling spin-boson model numerical renormalization group quantum phase transition dynamical correlation function
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Mathematical modelling of ball and plate system with experimental and correlation function-based model validation 认领 引用
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作者 T.R.Dil Kumar S.J.Mija 《Control Theory and Technology》 EI CSCD 2024年第2期326-341,共16页
The ball and plate system is an inherently nonlinear under actuated benchmark system used for validating the performance of various control schemes. A mathematical model depicting the dynamics close to that of the sys... The ball and plate system is an inherently nonlinear under actuated benchmark system used for validating the performance of various control schemes. A mathematical model depicting the dynamics close to that of the system is very much required for such a test bed. In this correspondence, the complete nonlinear model, a simplified nonlinear model, and a linearized model of the ball and plate system are developed. The system comprises a ball and plate mechanism and a rotary servo unit. The ball and plate mechanism is modelled using the Euler–Lagrange method, whereas the rotary servo subsystem is modelled from the first principles. The nonlinear model of the combined system is developed by including the dynamics of the servo motor with gear and rolling resistance between the ball and the plate. The simplified nonlinear model of the system is obtained with suitable assumptions. The model is linearized around the operating point using the Jacobian. The validity of the developed models is investigated through correlation function analysis. The open-loop response of the three models, viz., nonlinear, simplified nonlinear, and linearized models, is analyzed in the MATLAB/Simulink platform. Since the open-loop system is unstable, the experimental validation of the model is performed with a double-loop PSO (particle swarm optimization) PID control scheme. 展开更多
关键词 Ball and plate system Correlation function Model validation Particle swarm optimization(PSO) PSO PID controller
Exchange-Correlation Functional Comparison of Electronic Energies in Atoms Using a Grid Basis 认领 引用
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作者 Anthony D. Ryan Andres Gama +1 位作者 Frank Felerski William D. Parker 《Journal of Applied Mathematics and Physics》 2022年第11期3392-3407,共16页
Calculation of total energies of the electronic ground states of atoms forms the basis for the frozen-core pseudopotentials used in atomistic calculations of much larger scale. Reference values for these energies prov... Calculation of total energies of the electronic ground states of atoms forms the basis for the frozen-core pseudopotentials used in atomistic calculations of much larger scale. Reference values for these energies provide a benchmark for the validation of new software to calculate such potentials. In addition, basic atomic-scale electronic properties such as the (first) ionization energy provide a simple check on the approximation used in the calculation method. We present a comparison of the total energies and ionization energies of atoms Z = 1 - 92 calculated in density functional theory with several levels of exchange-correlation functional and the Hartree-Fock method, comparing ionization energies to experiment. We also investigate the role of relativistic treatment on these energies. 展开更多
关键词 Density Functional Theory Hartree-Fock Theory Electronic Energies Exchange-Correlation Potential Exchange and Correlation Functional Ionization Energy
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Influence of Noise on Time Evolution of Intensity Correlation Function 认领 引用 被引量：2
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作者 CHENG Qing-Hua CAO Li +1 位作者 XU Da Hai WU Da-Jin 《Communications in Theoretical Physics》 SCIE CAS 2005年第5X期867-872,共6页
Using the linear approximation method, we have studied how the correlation function C（t） of the laser intensity changes with time in the loss-noise model of the single-mode laser driven by the colored pump noise wit... Using the linear approximation method, we have studied how the correlation function C（t） of the laser intensity changes with time in the loss-noise model of the single-mode laser driven by the colored pump noise with signal modulation and the quantum noise with cross-correlation between the real and imaginary parts. We have found that when the pump noise self-correlation time T changes, （i） in the case of r 〈〈 1, the C（t） vs. t curve experiences a changing process from the monotonous descending to monotonous rise, and finally to the appearance of a maximum; （ii） in the case of r 〉〉 1, the curve only exhibits periodically surging with descending envelope. When r 〈〈 i and T does not change, with the increase of the pump noise intensity P, the curve experiences a repeated changing process, that is, from the monotonous descending to the appearance of a maximum, then to monotonous rise, and finally to the appearance of a maximum again. With the increase of the quantum noise intensity O,, the curve experiences a changing process from the monotonous rise to the appearance of a maximum, and finally to the monotonous descending. The increase of the quantum noise with cross-correlation between the real and imaginary parts will lead to the fall of the whole curve, but not affect the form of the time evolution of C（t）. 展开更多
关键词 noise single-mode laser intensity correlation function
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Relativistic corrections to hadron-hadron scattering phase shift and correlation function 认领 引用
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作者 Zeyu Zeng Baoyi Chen Jiaxing Zhao 《Chinese Physics C》 SCIE CAS CSCD 2026年第7期21-29,共9页
Femtoscopy offers a sensitive probe of hadron emission sources and hadronic interactions.In this study,we examine relativistic corrections to scattering phase shifts and correlation functions using the two-body Dirac ... Femtoscopy offers a sensitive probe of hadron emission sources and hadronic interactions.In this study,we examine relativistic corrections to scattering phase shifts and correlation functions using the two-body Dirac equation framework.We analyze the impact of the Darwin term and spin-dependent potentials,showing that these relativistic effects,especially spin-related interactions,significantly enhance the proton-proton correlation function.Our findings emphasize the necessity of including relativistic corrections for precise femtoscopic analyses. 展开更多
关键词 two-body Dirac equation hadron-hadron scattering proton-proton correlation function
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