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Mutual information among three or more dimensions (mu-star = - Q) has been considered as interaction information. However, Krippendorff (2009a, 2009b) has shown that this measure cannot be interpreted as a unique property of the…

信息检索 · 计算机科学 2010-01-08 Loet Leydesdorff

Self-organization and nonequilibrium phase transitions are well known to occur in two- and three- dimensional dissipative systems. Here, instead, we provide numerical evidence that these phenomena also occur in a one-dimensional Hamiltonian…

统计力学 · 物理学 2017-01-31 Jiao Wang , Giulio Casati

This review is devoted to the problem of thermalization in a small isolated conglomerate of interacting constituents. A variety of physically important systems of intensive current interest belong to this category: complex atoms, molecules…

统计力学 · 物理学 2016-04-18 F. Borgonovi , F. M. Izrailev , L. F. Santos , V. G. Zelevinsky

We study the thermodynamic properties of spin systems on small-world hypergraphs, obtained by superimposing sparse Poisson random graphs with p-spin interactions onto a one-dimensional Ising chain with nearest-neighbor interactions. We use…

无序系统与神经网络 · 物理学 2009-11-11 D. Bolle , R. Heylen , N. S. Skantzos

Quantifying energy flows at nanometer scales promises to guide future research in a variety of disciplines, from microscopic control and manipulation, to autonomously operating molecular machines. A general understanding of the…

统计力学 · 物理学 2018-11-26 Steven J. Large , Raphaël Chetrite , David A. Sivak

In my PhD thesis I studied cooperative phenomena arise in complex systems using the methods of statistical and computational physics. The aim of my work was also to study the critical behaviour of interacting many-body systems during their…

统计力学 · 物理学 2009-07-23 Márton Karsai

Adaptive physical and biological systems continually process fluctuating information from their environments. When the environment is nonstationary, inference itself becomes a nonequilibrium process with thermodynamic cost. We analyse a…

统计力学 · 物理学 2026-03-23 Aditya Gupta

Technological and scientific advances have given rise to an era in which coherent quantum-mechanical phenomena can be probed and experimentally-realised over unprecedented timescales in condensed matter physics. In turn, scientific interest…

量子物理 · 物理学 2021-12-23 Marlon Brenes

We consider phase separation on the strip for the two-dimensional Ising model in the near-critical region. Within the framework of field theory, we find exact analytic results for certain two- and three-point correlation functions of the…

统计力学 · 物理学 2021-09-01 Alessio Squarcini , Antonio Tinti

We try to design a simple model exhibiting self-organized criticality, which is amenable to a rigorous mathematical analysis. To this end, we modify the generalized Ising Curie-Weiss model by implementing an automatic control of the inverse…

概率论 · 数学 2016-02-10 Raphaël Cerf , Matthias Gorny

We introduce a class of stochastic engines in which the regime of units operating synchronously can boost the performance. Our approach encompasses a minimal setup composed of $N$ interacting units placed in contact with two thermal baths…

统计力学 · 物理学 2023-06-21 Fernando S. Filho , Gustavo A. L. Forão , D. M. Busiello , B. Cleuren , Carlos E. Fiore

The goal of the paper is to derive a revised condition of global equilibrium in complex chemical systems as variational principle in formalism of recently developed discrete thermodynamics (DTD) of chemical equilibria. In classical approach…

化学物理 · 物理学 2010-11-13 B. Zilbergleyt

Non-reciprocal interactions are a generic feature of non-equilibrium systems. We define a non-reciprocal generalization of the kinetic Ising model in one spatial dimension. We solve the model exactly using two different approaches for…

统计力学 · 物理学 2025-04-02 Gabriel Artur Weiderpass , Mayur Sharma , Savdeep Sethi

Properties of nanoparticles have been studied within the framework of Ising model and the method of random-field interactions: the average magnetic moment and position of critical points of the magnetic and the concentration phase…

介观与纳米尺度物理 · 物理学 2014-02-21 Yury Kirienko , Leonid Afremov

Using the Metropolis algorithm, we simulate the relaxation process of the three-dimensional kinetic Ising model. Starting from a random initial configuration, we first present the average equilibration time across the entire phase boundary.…

统计力学 · 物理学 2025-01-27 Xiaobing Li , Ranran Guo , Mingmei Xu , Jinghua Fu , Lizhu Chen , Yu Zhou , Yuanfang Wu

In previous study [1], we proposed a new physical law applicable to both particle and thermodynamical systems. Additionally, we introduced a physical definition of chaos and self-organization. In the present work, we extend this novel…

物理学史与哲学 · 物理学 2025-09-23 E. Aydiner

We present a novel approach to the study of epidemics on networks as thermodynamic phenomena, considering the thermodynamic efficiency of contagions, considered as distributed computational processes. Modelling SIS dynamics on a contact…

种群与进化 · 定量生物学 2018-10-24 Nathan Harding , Ramil Nigmatullin , Mikhail Prokopenko

Scientific discovery can be framed as a thermodynamic process in which an agent invests physical work to acquire information about an environment under a finite work budget. Using established results about the thermodynamics of computing,…

信息论 · 计算机科学 2025-11-20 Mihir Rao

Despite broad interest in self-organizing systems, there are few quantitative, experimentally-applicable criteria for self-organization. The existing criteria all give counter-intuitive results for important cases. In this Letter, we…

适应与自组织系统 · 物理学 2011-11-10 Cosma Rohilla Shalizi , Kristina Lisa Shalizi , Robert Haslinger

We analyze the non-equilibrium order-disorder transition of Axelrod's model of social interaction in several complex networks. In a small world network, we find a transition between an ordered homogeneous state and a disordered state. The…

凝聚态物理 · 物理学 2009-11-07 Konstantin Klemm , Victor M. Eguiluz , Raul Toral , Maxi San Miguel