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Two qualitatively different ways of driving a physical system out of equilibrium, time-dependent and non-conservative forcing, are reflected by the decomposition of the system's entropy production into excess and housekeeping parts. We show…

统计力学 · 物理学 2022-01-10 Andreas Dechant , Shin-ichi Sasa , Sosuke Ito

We propose a generalization of stochastic thermodynamics to systems of active particles, which move under the combined influence of stochastic internal self-propulsions (activity) and a heat bath. The main idea is to consider joint…

软凝聚态物质 · 物理学 2019-11-20 Grzegorz Szamel

In this paper, we analyze the relationship between entropy and information in the context of the mixing process of two identical ideal gases. We will argue that entropy has a special information-based feature that is enfolded in the…

量子物理 · 物理学 2015-06-26 Afshin Shafiee , Majid Karimi

This paper presents a nonequilibrium, first-principles, thermodynamic-ensemble based model for the relaxation process of interacting non-equilibrium systems. This model is formulated using steepest-entropy-ascent quantum thermodynamics…

统计力学 · 物理学 2018-10-10 Guanchen Li , Michael R. von Spakovsky

We analyze the dynamics of model supercooled liquids in a temperature regime where predictions of mode coupling theory (MCT) are known to be valid qualitatively. In this regime, the Adam-Gibbs (AG) relation, based on an activation picture…

Entropy is one of the key thermodynamic variables reflecting changes in the state of matter. Unlike other thermodynamic variables, it is well-defined also for nonequilibrium steady states through its relation to information. Applying this…

统计力学 · 物理学 2026-04-15 Haim Diamant , Gil Ariel

During the past dozen years there have been numerous articles on a relation between entropy and probability which is non-additive and has a parameter $q$ that depends on the nature of the thermodynamic system under consideration. For $q=1$…

统计力学 · 物理学 2009-11-07 Michael Nauenberg

We study self-organisation of collective motion as a thermodynamic phenomenon, in the context of the first law of thermodynamics. It is expected that the coherent ordered motion typically self-organises in the presence of changes in the…

In this study, we have derived a thermodynamically consistent phase-field model for two-phase flows with thermocapillary effects. This model accommodates variations in physical properties such as density, viscosity, heat capacity, and…

流体动力学 · 物理学 2024-04-09 Yanxiao Sun , Jiang Wu , Maosheng Jiang , Steven M. Wise , Zhenlin Guo

We present some novel thermodynamic ideas based on the Maupertuis principle. By considering Hamiltonians written in terms of appropriate action-angle variables we show that thermal states can be characterized by the action variables and by…

统计力学 · 物理学 2008-04-15 V. Garcia-Morales , J. Pellicer , J. A. Manzanares

Thermodynamic entropy, as defined by Clausius, characterizes macroscopic observations of a system based on phenomenological quantities such as temperature and heat. In contrast, information-theoretic entropy, introduced by Shannon, is a…

量子物理 · 物理学 2017-01-04 Mirjam Weilenmann , Lea Krämer , Philippe Faist , Renato Renner

A microscopic understanding of the thermodynamic entropy in quantum systems has been a mystery ever since the invention of quantum mechanics. In classical physics, this entropy is believed to be the logarithm of the volume of phase space…

量子物理 · 物理学 2013-05-08 J. M. Deutsch , Haibin Li , Auditya Sharma

We consider two statistically independent systems described by the same entropy belonging to the two-parameter family of Sharma-Mittal. Assuming a weak interaction among the systems, allowing in this way an exchange of heat and work, we…

统计力学 · 物理学 2009-11-11 A. M. Scarfone

Recent experiments have reported lower critical solution temperature (LCST) phase behavior of aqueous solutions of proteins induced by multivalent ions, where the solution phase separates upon heating. This phenomenon is linked to complex…

软凝聚态物质 · 物理学 2021-12-21 Anil Kumar Sahoo , Frank Schreiber , Roland R. Netz , Prabal K. Maiti

A thermodynamic measure of the fragility of liquids has recently (Ito et al ref.1) been defined in terms of the temperature dependence of the excess entropy of liquid over crystal, scaled by the excess entropy at the glass transition…

无序系统与神经网络 · 物理学 2007-05-23 L. -M. Martinez , C. A. Angell

A system can be driven out of equilibrium by both time-dependent and nonconservative forces, which gives rise to a decomposition of the dissipation into two non-negative components, called the excess and housekeeping entropy productions. We…

统计力学 · 物理学 2023-05-31 Takuya Kamijima , Sosuke Ito , Andreas Dechant , Takahiro Sagawa

In this paper, we consider mathematical modeling and numerical simulation of non-isothermal compressible multi-component diffuse-interface two-phase flows with realistic equations of state. A general model with general reference velocity is…

数值分析 · 数学 2018-08-15 Jisheng Kou , Shuyu Sun

Statistical formulations of thermodynamic entropy, such as those by Boltzmann and Gibbs, were originally developed for classical systems and are well understood in that context. However, the foundational aspects of quantum statistical…

量子物理 · 物理学 2025-10-08 Smitarani Mishra , Shaon Sahoo

In this paper, we extend Gibbs's approach of quasi-equilibrium thermodynamic processes, and calculate the microscopic expression of entropy for general non-equilibrium thermodynamic processes. Also, we analyze the formal structure of…

统计力学 · 物理学 2025-12-23 Jun Chul Park

Relating thermodynamic and kinetic properties is a conceptual challenge with many practical benefits. Here, based on first principles, we derive a rigorous inequality relating the entropy and the dynamic propagator of particle…

统计力学 · 物理学 2024-07-11 Benjamin Sorkin , Haim Diamant , Gil Ariel