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We review the behaviour of the Gibbs' and conditional entropies in deterministic and stochastic systems and continue to a formulation appropriate for a stochastically perturbed system with delayed dynamics. The underlying question driving…

数学物理 · 物理学 2024-06-24 Michael C. Mackey , Marta Tyran-Kaminska

Far-from-equilibrium thermodynamics underpins the emergence of life, but how has been a long-outstanding puzzle. Best candidate theories based on the maximum entropy production principle could not be unequivocally proven, in part due to…

定量方法 · 定量生物学 2017-10-10 Robert G. Endres

The formal consideration of the concept of interaction in thermodynamic analysis makes it possible to deduce, in the broadest terms, new results related to the coevolution of interacting systems, irrespective of their distance from…

种群与进化 · 定量生物学 2008-05-04 Antonio Leon

Spontaneous symmetry breaking plays a fundamental role in many areas of condensed matter and particle physics. A fundamental problem in ecology is the elucidation of the mechanisms responsible for biodiversity and stability. Neutral theory,…

种群与进化 · 定量生物学 2013-06-28 Claudio Borile , Miguel A. Muñoz , Sandro Azaele , Jayanth R. Banavar , Amos Maritan

Explaining the origin of life requires us to explain how self-replication arises. To be specific, how can a self-replicating entity develop spontaneously from a chemical reaction system in which no reaction is self-replicating? Previously…

适应与自组织系统 · 物理学 2020-12-18 Yu Liu , David Sumpter

The probability distribution of the total entropy production in the non-equilibrium steady state follows a symmetry relation called the fluctuation theorem. When a certain part of the system is masked or hidden, it is difficult to infer the…

统计力学 · 物理学 2020-04-29 Deepak Gupta , Sanjib Sabhapandit

We revisit textbook claims that entropy must increase and show that, under time-reversal invariant microscopic dynamics, no universal trajectory-wise or statistical assertion that the coarse-grained entropy $S(t)$ is non-decreasing can…

统计力学 · 物理学 2026-03-06 Ting Peng

This chapter deals with our recent attempt to extend the notion of equilibrium (EQ) entropy to nonequilibrium (NEQ) systems so that it can also capture memory effects. This is done by enlarging the equilibrium state space by introducing…

统计力学 · 物理学 2022-01-03 P. D. Gujrati

The reversibility and recurrence paradoxes are key issues that have been left unsolved in researches on the foundation of thermodynamics since the 19th century. This article shows that (1) the reversibility paradox can be overcome if we pay…

统计力学 · 物理学 2021-07-27 Yoshihiro Nakato

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

统计力学 · 物理学 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

We consider several low--dimensional chaotic maps started in far-from-equilibrium initial conditions and we study the process of relaxation to equilibrium. In the case of conservative maps the Boltzmann-Gibbs entropy S(t) increases linearly…

统计力学 · 物理学 2007-05-23 M. Baranger , V. Latora , A. Rapisarda

This work presents a general unifying theoretical framework for quantum non-equilibrium systems. It is based on a re-statement of the dynamical problem as one of inferring the distribution of collision events that move a system toward…

量子物理 · 物理学 2015-03-30 David M. Rogers

According to contemporary views, equilibrium constant is relevant only to true thermodynamic equilibria in isolated systems with one chemical reaction. The paper presents a novel formula that ties-up equilibrium constant and chemical system…

化学物理 · 物理学 2008-02-11 B. Zilbergleyt

We use a simple hard-core gas model to study the dynamics of small exploding systems. The system is initially prepared in a thermalized state in a spherical container and then allowed to expand freely into the vacuum. We follow the…

核理论 · 物理学 2015-06-26 J. P. Bondorf , I. N. Mishustin , G. Neergaard

Life is commonly described as a self-organized, far-from-equilibrium process that maintains internal order by consuming free energy and exporting entropy. This thermodynamic view underlies diverse theoretical frameworks -- from autopoiesis…

生物物理 · 物理学 2025-12-23 Didier Sornette , Virgile Troude

The 2nd law of thermodynamics yields an irreversible increase in entropy until thermal equilibrium is achieved. This irreversible increase is often assumed to require large and complex systems to emerge from the reversible microscopic laws…

统计力学 · 物理学 2023-11-21 Ralph V. Chamberlin

We compute the low-temperature configurational entropy of a two-dimensional supercooled liquid. Our method, based on a higher-dimensional version of the Grassberger--Procaccia algorithm, can be implemented in a manner that is entirely…

统计力学 · 物理学 2026-05-29 Nina Javerzat , Gerhard Jung , Jorge Kurchan , Misaki Ozawa

Nonequilibrium processes break time-reversal symmetry and generate entropy. Living systems are driven out-of-equilibrium at the microscopic level of molecular motors that exploit chemical potential gradients to transduce free energy to…

统计力学 · 物理学 2022-12-06 Eden Nitzan , Aishani Ghosal , Gili Bisker

We provide an extension of a recent approach to study non-equilibrium thermodynamics [Phys. Rev. E 81, 051130 (2010), to be denoted by I in this work] to inhomogeneous systems by considering the latter to be composed of quasi-independent…

统计力学 · 物理学 2013-05-30 P. D. Gujrati

The nature of the behaviour of an isolated many-body quantum system periodically driven in time has been an open question since the beginning of quantum mechanics. After an initial transient, such a system is known to synchronize with the…

统计力学 · 物理学 2014-04-22 Achilleas Lazarides , Arnab Das , Roderich Moessner