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We reveal a correspondence between temperature and integrability-breaking in classical and quantum many-body systems through the lens of geometry and adiabatic transformations. Decreasing the temperature, obtained in a standard way through…

统计力学 · 物理学 2026-04-03 Hyeongjin Kim , Souvik Bandyopadhyay , Anatoli Polkovnikov

This work is a contribution to the study of universality in out-of-equilibrium lattice models undergoing a second-order phase transition at equilibrium. The experimental protocol that we have chosen is the following: the system is prepared…

统计力学 · 物理学 2007-05-23 Christophe Chatelain

We introduce and validate a finite-size two-body excess entropy integral equation. By using analytical arguments and computer simulations of prototypical simple liquids, we show that the excess entropy $s_2$ exhibits a finite-size scaling…

软凝聚态物质 · 物理学 2023-06-07 Mauricio Sevilla , Atreyee Banerjee , Robinson Cortes-Huerto

We introduce an ambidextrous view of stochastic dynamical systems, comparing their forward-time and reverse-time representations and then integrating them into a single time-symmetric representation. The perspective is useful theoretically,…

统计力学 · 物理学 2015-05-13 Christopher J. Ellison , John R. Mahoney , James P. Crutchfield

Physical systems that power motion and create structure in a fixed amount of time dissipate energy and produce entropy. Whether living or synthetic, systems performing these dynamic functions must balance dissipation and speed. Here, we…

Complex systems produce high-dimensional signals that lack macroscopic variables analogous to entropy, temperature, or free energy. This work introduces a thermoinformational formulation that derives entropy, internal energy, temperature,…

神经元与认知 · 定量生物学 2026-01-30 George-Rafael Domenikos , Victoria Leong

Information theoretic measures (entropies, entropy rates, mutual information) are nowadays commonly used in statistical signal processing for real-world data analysis. The present work proposes the use of Auto Mutual Information (Mutual…

数据分析、统计与概率 · 物理学 2019-07-24 C Granero-Belinchón , S. Roux , P. Abry , N. Garnier

At low temperature T, a significant difference between the behavior of crystals on the one hand and disordered solids on the other is seen: sufficiently strong disorder can give rise to a transition of the transport properties from…

无序系统与神经网络 · 物理学 2018-03-21 Rudolf A Roemer , Michael Schreiber

Climate is known for being characterised by strong non-linearity and chaotic behaviour. Nevertheless, few studies in climate science adopt statistical methods specifically designed for non-stationary or non-linear systems. Here we show how…

应用统计 · 统计学 2021-01-13 Federico Amato , Fabian Guignard , Vincent Humphrey , Mikhail Kanevski

Using the mapping of the Fokker-Planck description of classical stochastic dynamics onto a quantum Hamiltonian, we argue that a dynamical glass transition in the former must have a precise definition in terms of a quantum phase transition…

统计力学 · 物理学 2010-08-10 Claudio Castelnovo , Claudio Chamon , David Sherrington

The problem of the insensitivity of the macroscopic behavior of any thermodynamical system to partitioning generates a bias between the reproducibility of its macroscopic behavior viewed as the simplest form of causality and its long-term…

综合物理 · 物理学 2007-05-23 Maria K. Koleva

During a spontaneous change, a macroscopic physical system will evolve towards a macro-state with more realizations. This observation is at the basis of the Statistical Mechanical version of the Second Law of Thermodynamics, and it provides…

统计力学 · 物理学 2020-04-22 Mengjie Zu , Arunkumar Bupathy , Daan Frenkel , Srikanth Sastry

We introduce a new measure of the structure of a liquid which is the softness of the mean-field potential developed by us earlier. We find that this softness is sensitive to small changes in the structure. We then study its correlation with…

软凝聚态物质 · 物理学 2021-05-26 Manoj Kumar Nandi , Sarika Maitra Bhattacharyya

The irreversible entropy increase described by the second law of thermodynamics is fundamentally tied to thermalization and the emergence of equilibrium. In the first part of our work (Ref: arXiv.2503.04152), we constructed an isolated gas…

量子物理 · 物理学 2025-11-24 Xue-Yi Guo

For substitutional alloys, typically refered to as classical discrete systems under constant composition, we theoretically examine the role of hidden structure information on evolution of nonlinearity (i.e., correspondence between a set of…

统计力学 · 物理学 2022-02-25 Koretaka Yuge

The definition of a nonequilibrium temperature through generalized fluctuation-dissipation relations relies on the independence of the fluctuation-dissipation temperature from the observable considered. We argue that this observable…

统计力学 · 物理学 2015-03-13 Kirsten Martens , Eric Bertin , Michel Droz

We investigate the maximum caliber variational principle as an inference algorithm used to predict dynamical properties of complex nonequilibrium, stationary, statistical systems in the presence of incomplete information. Specifically, we…

统计力学 · 物理学 2016-12-28 Carlo Cafaro , Sean Alan Ali

We use a well known model (T. Vicsek et al. Phys Rev Lett 15, 1226 (1995)) for flocking to test mutual information as a tool for detecting order-disorder transitions, in particular when observations of the system are limited. We show that…

数据分析、统计与概率 · 物理学 2009-11-13 R. T. Wicks , S. C. Chapman , R. O. Dendy

We numerically study the finite-size droplet condensation-evaporation transition in two dimensions. We consider and compare two orthogonal approaches, namely at fixed temperature and at fixed density, making use of parallel multicanonical…

统计力学 · 物理学 2017-01-13 Andreas Nußbaumer , Johannes Zierenberg , Elmar Bittner , Wolfhard Janke

Understanding glasses is considered to be one of the most fundamental problems in statistical physics. A theoretical approach to unravel their universal properties is to consider the validity of equilibrium concepts such as temperature and…

软凝聚态物质 · 物理学 2015-06-25 Ping Wang , Chaoming Song , Hernan A. Makse