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Eigen microstate analysis unveils climate dynamics

Science China(Physics,Mechanics & Astronomy) 2025年第04期Mechanics & Astronomy) .卷 95-104页

作者： Hua Tu Shang Wang Jun Meng Yongwen Zhang xiaosong chen Deliang chen Jingfang Fan School of Systems Science/Institute of Nonequilibrium Systems Beijing Normal University Key Laboratory of Earth System Numerical Modeling and Application Institute of Atmospheric PhysicsChinese Academy of Sciences Data Science Research Center Faculty of Science Kunming University of Science and Technology Department of Earth System Science Tsinghua University Department of Earth Sciences University of Gothenburg Potsdam Institute for Climate Impact Research

The Earth's climate operates as a complex, dynamically interconnected system, driven by both anthropogenic and natural forcings and modulated by nonlinear interactions and feedback loops. This study employs a theoretical framework and the Eigen Microstate(EM) approach of statistical physics to examine global surface temperature variations since 1948, as revealed by a global reanalysis. We identified EMs significantly correlated with key climate phenomena such as the global monsoon system,tropical climates, and El Ni no. Our analysis reveals that these EMs have increasingly influenced global surface temperature variations over recent decades, highlighting the critical roles of hemispheric differences, land-sea contrasts, and tropical climate fluctuations in a warming world. Additionally, we used model simulations from more than 10 Coupled Model Intercomparison Project Phase 6(CMIP6) under three future climate scenarios to perform a comparative analysis of the changes in each EM contribution. The results indicate that under future warming scenarios, tropical climate fluctuations will become increasingly dominant, while traditional hemispheric and monsoonal patterns may decline. This shift underscores the importance of understanding tropical dynamics and their impact on global climate from a physics-based perspective. Our study provides a new perspective on understanding and addressing global climate change, enhancing the theoretical foundation of this critical field,and yielding findings with significant practical implications for improving climate models and developing effective mitigation and adaptation strategies.

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Complexity science meets Earth system

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Science Bulletin 2025年第1期70卷 19-24页

作者： Jingfang Fan Jun Meng xiaosong chen Hans Joachim Schellnhuber School of Systems Science/Institute of Nonequilibrium Systems Beijing Normal UniversityBeijing 100875China Potsdam Institute for Climate Impact Research Potsdam 14412Germany School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China International Institute for Applied Systems Analysis Laxenburg 2361Austria

The Earth’s climate system operates across multiple scales,driven by intricate interactions among natural processes and human *** these dynamics is crucial for predicting future climate scenarios(days to decades)and their impacts on global environments and *** interactions span across atmospheric circulation,ocean currents,geological processes,and biological systems,influencing global climate variability and regional weather patterns[1].

关键词： Earth climate weather

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Scaled particle theory for bulk and confined fluids： A review

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Science China(Physics,Mechanics & Astronomy) 2018年第7期61卷 1-17页

作者： Wei Dong xiaosong chen Universite de Lyon CNRS Ecole Normale Superieure de Lyon Universite Lyon 1 Laboratoire de Chimie UMR 5182 46 Allee d'Italie 69364 Lyon Cedar 07 France State Key Laboratory of Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100190 China

More than half a century after its first formulation by Reiss, Frisch and Lebowitz in 1959, scaled particle theory(SPT) has proven its immense usefulness and has become one of the most successful theories in liquid physics. In recent years, we have strived to extend SPT to fluids confined in a variety of random porous matrices. In this article, we present a timely review of these developments. We have endeavored to present a formulation that is pedagogically more accessible than those presented in various original papers, and we hope this benefits newcomers in their research work. We also use more consistent notations for different cases. In addition, we discuss issues that have been scarcely considered in the literature, e.g., the one-fluid structure of SPT due to the isomorphism between the equation of state for a multicomponent fluid and that for a one-component fluid or the pure-confinement scaling relation that provides a connection between a confined and a bulk fluid.

关键词： fluids confined in porous media scaled particle theory hard sphere fluids

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A classical density functional approach to depletion interaction of Lennard-Jones binary mixtures

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Communications in Theoretical Physics 2022年第3期74卷 87-96页

作者： Yue chen Wei chen xiaosong chen CAS Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China State Key Laboratory of Multiphase Complex Systems Institute of Process EngineeringChinese Academy of SciencesBeijing 100190China School of Systems Science Beijing Normal UniversityBeijing 100875China

In this article,we apply classical density functional theory to investigate the characteristics of depletion interaction in Lennard-Jones(LJ)binary fiuid ***,to confirm the validity of our adopted density functional formalism,we calculate the radial distribution functions using a theoretical approach and compare them with results obtained by molecular dynamics ***,this approach is applied to two colloids immersed in LJ solvent *** investigate the variation of depletion interaction with respect to the distance of two colloids in LJ binary *** find that depletion interaction may be attractive or repulsive,mostly depending on the bulk density of the solvent and the temperature of the binary *** high bulk densities,the repulsive barrier of depletion force is remarkable when the total excluded volume of colloids touches each other and reaches a *** height of the repulsive barrier is related to the parameters of the LJ potential and bulk ***,the depletion force may exhibit attractive wells if the bulk density of the solvent is *** attractive well tends to appear when the surface-surface distance of colloids is half of the size of the polymer and deepens with temperature lowering in a fixed bulk *** contrast with the hard-sphere system,no oscillation of depletion potential around zero is observed.

关键词： molecular simulation density functional theory depletion interaction soft matter physics colloid-polymer mixtures

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Chain formation in a monolayer of dipolar hard spheres under an external field

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Science China(Physics,Mechanics & Astronomy) 2011年第9期54卷 1555-1560页

作者： LUO Liang chen xiaosong Key Laboratory of Frontiers in Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100190 China

The phase behavior of a monolayer of dipolar hard spheres under an external field, which makes all dipoles of the monolayer orientate along its direction, is investigated. Using integral equation theory in the reference hypemetted chain （RHNC） approximation we calculate the correlation functions, which are used to obtain the response matrix of grand potential with respect to density fluctuations. The smallest eigenvalue of this response matrix determines the stability of the monolayer. When the smallest eigenvalue approaches zero, the monolayer becomes unstable and the corresponding eigenvector characterizes this instability. At dilute densities, with decreasing temperature the dipoles of the monolayer begin to form chains and simultaneously condensate. At medium and high densities, however, the dipoles of the monolayer have a stronger tendency to form dipolar chains with decreasing temperature and there is no condensation. The part of specific heat related to potential energy is investigated and found to increase sharply near the temperature of dipolar chain formation. This is in accordance with a sharp decrease in potential energy induced by the formation of a dipolar chain.

关键词： dipolar fluid monolayer integral equation theory chain formation

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Strong Anisotropy of 3D Diffusion in Living Cells

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Chinese Physics Letters 2020年第8期37卷 5-6页

作者： xiaosong chen School of Systems Science Beijing Normal UniversityBeijing 100875China

Starting from the never-ending agitated dance of pollen grains firstly discovered by Robert Brownin 1828,Brownian motion was known to represent the randomly diffusive move ment of small particles in a simple solvent.

关键词： Brownian Diffusion Strong

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THE λ-GROBNER BASES UNDER POLYNOMIAL COMPOSITION

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Journal of Systems Science & Complexity 2007年第4期20卷 610-613页

作者： Jinwang LIU Dongmei LI xiaosong chen School of Mathematics and Computing Science Hunan Science and Technology University Xiangtan 411201 China School of Mathematical Sciences and China. Technology Central South University Changsha 410083

Polynomial composition is the operation of replacing variables in a polynomial with other polynomials. λ-Grgbner basis is an especial Grobner basis. The main problem in the paper is： when does composition commute with λ-Grobner basis computation？ We shall answer better the above question. This has a natural application in the computation of λ-Grobner bases.

关键词： λ-Grobner basis polynomial composition term ordering

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Study of the shear-rate dependence of granular friction based on community detection

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Science China(Physics,Mechanics & Astronomy) 2019年第4期62卷 38-44页

作者： YongWen Zhang GaoKe Hu xiaosong chen Wei chen WenQi Liu Data Science Research Center Faculty of Science Kunming University of Science and Technology CAS Key Laboratory of Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences School of Physical Sciences University of Chinese Academy of Sciences State Key Laboratory of Multiphase Complex System Institute of Process Engineering Chinese Academy of Sciences

In this study, computer simulations are performed on three-dimensional granular systems under shear conditions. The system comprises granular particles that are confined between two rigid plates. The top plate is subjected to a normal force and driven by a shearing velocity. A positive shear-rate dependence of granular friction, known as velocity-strengthening, exists between the granular and shearing plate. To understand the origin of the dependence of frictional sliding, we treat the granular system as a complex network, where granular particles are nodes and normal contact forces are weighted edges used to obtain insight into the interiors of granular matter. Community structures within granular property networks are detected under different shearing velocities in the steady state. Community parameters, such as the size of the largest cluster and average size of clusters, show significant monotonous trends in shearing velocity associated with the shear-rate dependence of granular friction. Then, we apply an instantaneous change in shearing velocity. A dramatic increase in friction is observed with a change in shearing velocity in the non-steady state. The community structures in the non-steady state are different from those in the steady state. Results indicate that the largest cluster is a key factor affecting the friction between the granular and shearing plate.

关键词： granular shear-rate friction community detection

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Irreversible Markov chain Monte Carlo algorithm for self-avoiding walk

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Frontiers of physics 2017年第1期12卷 91-98页

作者： Hao Hu xiaosong chen Youjin Deng National Laboratory for Physical Sciences at Microscale and Department of Modern Physics University of Science and Technology of China Hefei 230026 China State Key Laboratory of Theoretical Physics Institute of Theoretical Physics Chinese Academy of Sciences Beijing 100190 China School of Chemical and Biomedical Engineering Nanyang Technological University Singapore 637459 Singapore

We formulate an irreversible Markov chain Monte Carlo algorithm for the self-avoiding walk （SAW）, which violates the detailed balance condition and satisfies tile balance condition. Its performance improves significantly compared to that of the Berretti-Sokal algorithm, which is a variant of the Metropolis Hastings method. The gained efficiency increases with spatial dimension （D）, from approximately 10 times in 2D to approximately 40 times in 5D. We simulate the SAW on a 5D hypercubic lattice with periodic boundary conditions, for a linear system with a size up to L = 128, and confirm that as for the 5D Ising model, the finite-size scaling of the SAW is governed by renormalized exponents, υ^＊ = 2/d and γ/υ^＊ = d/2. The critical point is determined, which is approximately 8 times more precise than the best available estimate.

关键词： Monte Carlo algorithms self-avoiding walk irreversible balance condition

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Condensation of eigen microstate in statistical ensemble and phase transition

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Science China(Physics,Mechanics & Astronomy) 2019年第9期62卷 41-48页

作者： GaoKe Hu Teng Liu MaoXin Liu Wei chen xiaosong chen Key Laboratory of Theoretical Physics Institute of Theoretical PhysicsChinese Academy of SciencesBeijing 100190China School of Systems Science Beijing Normal UniversityBeijing 100875China School of Physical Sciences University of Chinese Academy of SciencesBeijing 100049China State Key Laboratory of Multiphase Complex Systems Institute of Process EngineeringChinese Academy of SciencesBeijing 100190China State Key Laboratory of Information Photonics and Optical Communications & School of Science Beijing University of Posts and TelecommunicationsBeijing 100876China

In a statistical ensemble with M microstates, we introduce an M × M correlation matrix with correlations among microstates as its elements. Eigen microstates of ensemble can be defined using eigenvectors of the correlation matrix. The eigenvalue normalized by M represents weight factor in the ensemble of the corresponding eigen microstate. In the limit M →∞, weight factors drop to zero in the ensemble without localization of the microstate. The finite limit of the weight factor when M →∞ indicates a condensation of the corresponding eigen microstate. This finding indicates a transition into a new phase characterized by the condensed eigen microstate. We propose a finite-size scaling relation of weight factors near critical point, which can be used to identify the phase transition and its universality class of general complex systems. The condensation of eigen microstate and the finite-size scaling relation of weight factors are confirmed using Monte Carlo data of one-dimensional and two-dimensional Ising models.

关键词： statistical ensemble eigen microstate condensation phase transition finite-size scaling

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