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For chemical reaction networks described by a master equation, we define energy and entropy on a stochastic trajectory and develop a consistent nonequilibrium thermodynamic description along a single stochastic trajectory of reaction…

统计力学 · 物理学 2009-11-11 Tim Schmiedl , Udo Seifert

This study proposes a novel spatial discretization procedure for the compressible Euler equations which guarantees entropy conservation at a discrete level when an arbitrary equation of state is assumed. The proposed method, based on a…

流体动力学 · 物理学 2025-09-24 Alessandro Aiello , Carlo De Michele , Gennaro Coppola

Active matter is rapidly becoming a key paradigm of out-of-equilibrium soft matter exhibiting complex collective phenomena, yet the thermodynamics of such systems remain poorly understood. In this letter we study the nonequilbrium…

统计力学 · 物理学 2019-10-30 Emanuele Crosato , Mikhail Prokopenko , Richard E. Spinney

We give a proof of transient fluctuation relations for the entropy production (dissipation function) in nonequilibrium systems, which is valid for most time reversible dynamics. We then consider the conditions under which a transient…

统计力学 · 物理学 2009-11-13 Debra J. Searles , Lamberto Rondoni , Denis J. Evans

Stochastic thermodynamics allows us to define heat and work for microscopic systems far from thermodynamic equilibrium, based on observations of their stochastic dynamics. However, a complete account of the energetics necessitates that all…

统计力学 · 物理学 2021-08-31 Jannik Ehrich

Development of thermodynamic induction up to second order gives a dynamical bifurcation for thermodynamic variables and allows for the prediction and detailed explanation of nonequilibrium phase transitions with associated spontaneous…

统计力学 · 物理学 2021-10-07 S. N. Patitsas

Systems coupled to multiple thermodynamic reservoirs can exhibit nonequilibrium dynamics, breaking detailed balance to generate currents. To power these currents, the entropy of the reservoirs increases. The rate of entropy production, or…

统计力学 · 物理学 2019-04-16 Junang Li , Jordan M. Horowitz , Todd R. Gingrich , Nikta Fakhri

The quasi-stationary nonequilibrium distribution function of an independent electron gas interacting with a medium, which is at local thermal equilibrium, can be obtained by entropy production rate minimization, subject to constraints of…

统计力学 · 物理学 2010-05-18 Thomas Christen

Self-oscillatory and self-rotatory process driven by non-conservative forces have usually been treated as applications of the concepts of Hopf bifurcation and limit cycle in the theory of differential equations, or as instability problems…

经典物理 · 物理学 2018-06-06 Carlos D. Díaz-Marín , Alejandro Jenkins

Closely related to the laws of thermodynamics, the detection and quantification of disequilibria are crucial in unraveling the complexities of nature, particularly those beneath observable layers. Theoretical developments in nonequilibrium…

统计力学 · 物理学 2024-07-23 Pedro E. Harunari

This paper presents an {\it ab initio} derivation of the expression given by irreversible thermodynamics for the rate of entropy production for different classes of diffusive processes. The first class are Lorentz gases, where…

混沌动力学 · 物理学 2009-11-07 J. R. Dorfman , P. Gaspard , T. Gilbert

We present a new outlook on the climate system thermodynamics, studying some of its macroscopic properties in terms of the 1st and 2nd laws of thermodynamics. We review and clarify the notion of efficiency of the climate system by…

大气与海洋物理 · 物理学 2011-10-11 Valerio Lucarini

Motivated by applications of statistical mechanics in which the system of interest is spatially unconfined, we present an exact solution to the maximum entropy problem for assigning a stationary probability distribution on the phase space…

统计力学 · 物理学 2021-12-17 Bruno Arderucio Costa , Pedro Pessoa

Systems driven away from thermal equilibrium constantly deliver entropy to their environment. Determining this entropy production requires detailed information about the system's internal states and dynamics. However, in most practical…

统计力学 · 物理学 2017-10-03 Gili Bisker , Matteo Polettini , Todd R. Gingrich , Jordan M. Horowitz

We use the entropy method to analyze the nonlinear dynamics and stability of a continuum kinetic model of an active nematic suspension. From the time evolution of the relative entropy -- an energy-like quantity in the kinetic model -- we…

软凝聚态物质 · 物理学 2024-06-05 Scott Weady

Thermodynamics is commonly presented as a theory of macroscopic systems in stable equilibrium, built upon assumptions of extensivity and scaling with system size. In this paper, we present a universal formulation of the elementary…

量子物理 · 物理学 2026-03-26 Gian Paolo Beretta

Diffusivity, a measure for how rapidly a fluid self-mixes, shows an intimate, but seemingly fragmented, connection to thermodynamics. On one hand, the "configurational" contribution to entropy (related to the number of mechanically-stable…

统计力学 · 物理学 2007-05-23 Jeetain Mittal , Jeffrey R. Errington , Thomas M. Truskett

The existence of the {\em typical set} is key for data compression strategies and for the emergence of robust statistical observables in macroscopic physical systems. Standard approaches derive its existence from a restricted set of…

统计力学 · 物理学 2022-02-10 Rudolf Hanel , Bernat Corominas-Murtra

We consider thermodynamic systems with finitely many degrees of freedom and subject to an external control action. We derive some basic results on the dependence of the relative entropy production rate on the controlling force. Applications…

数学物理 · 物理学 2007-05-23 M. Pavon , F. Ticozzi

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