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The nonequilibrium thermodynamics feature of a Brownian motor operating between two different heat baths is explored as a function of time $t$. Using the Gibbs entropy and Schnakenberg microscopic stochastic approach, we find exact closed…

统计力学 · 物理学 2015-07-08 Mesfin Asfaw Taye

We numerically determine the entropy for heat-conducting states, which is connected to the so-called excess heat considered as a basic quantity for steady-state thermodynamics in nonequilibrium. We adopt an efficient method to estimate the…

统计力学 · 物理学 2016-08-17 Yoshiyuki Chiba , Naoko Nakagawa

We give a characterization of Maximum Entropy/Minimum Relative Entropy inference by providing two `strong entropy concentration' theorems. These theorems unify and generalize Jaynes' `concentration phenomenon' and Van Campenhout and Cover's…

信息论 · 计算机科学 2008-09-17 Peter Grunwald

The routine definitions of both entropy, and differential entropy show inconsistencies that make them not reciprocally coherent. We propose a few possible modifications of these quantities so that 1) they no longer show incongruities, 2)…

信息论 · 计算机科学 2014-08-08 Nicola Cufaro Petroni

The mixing of two different gases is one of the most common natural phenomena, with applications ranging from CO$_2$ capture to water purification. Traditionally, mixing is analyzed in the context of local thermal equilibrium, where systems…

量子物理 · 物理学 2025-07-08 Budhaditya Bhattacharjee , Rohit Kishan Ray , Dominik Šafránek

Bio-molecules are active agents in that they consume energy to perform tasks. The standard theoretical description, however, considers only a system-external work agent. Fluctuation theorems, for example, do not allow work-exchange between…

统计力学 · 物理学 2019-11-18 Lee Jinwoo , Hajime Tanaka

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

A colloidal particle immersed in a bath of bacteria is a typical example of a passive particle in an active bath. To model this, we take an overdamped harmonically trapped particle subjected to a thermal and a non-equilibrium noise arising…

统计力学 · 物理学 2018-08-02 Subhasish Chaki , Rajarshi Chakrabarti

The probability distribution of the entropy production for the effusion of a relativistic ideal gas is calculated explicitly. This result is then extended to include particle and anti-particle pair production and annihilation. In both…

统计力学 · 物理学 2009-11-13 B. Cleuren , K. Willaert , A. Engel , C. Van den Broeck

We present a general formalism linking modified entropy functions directly to a modified spacetime metric and, subsequently, to an effective matter sector of entropic origin. In particular, within the framework of general relativity,…

广义相对论与量子宇宙学 · 物理学 2026-05-29 Ankit Anand , Sahil Devdutt , Kimet Jusufi , Emmanuel N. Saridakis

We derive again the upper entropy bound for a charged object by employing thermodynamics of the Kerr-Newman black hole linearised with respect to its electric charge

广义相对论与量子宇宙学 · 物理学 2015-06-25 B. Linet

A new functional for the entropy that is asymptotically correct both in the high and low density limits is proposed. The new form is [ S=S^{(id)}+S^{(ln)}+S^{(r)}+S^{(c)} ] where the new term S^{(c)} depends on the p-bodies density…

统计力学 · 物理学 2009-10-31 J. A. Hernando , L. Blum

Firstly the fluctuation theorems (FT) for expended work in a driven nonequilibrium system, isolated or thermostatted, together with the ensuing Jarzynski work-energy (W-E) relationships, will be discussed and reobtained. Secondly, the…

统计力学 · 物理学 2016-10-31 Carolyne M. Van Vliet

The first aims of this work are to endorse the advent of finitely additive set functions as equilibrium states and the possibility to replace the metric entropy by an upper semi-continuous map associated to a general variational principle.…

动力系统 · 数学 2022-04-07 Andrzej Bis , Maria Carvalho , Miguel Mendes , Paulo Varandas

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

In the energy-momentum density expressions for a relativistic perfect fluid with a bulk motion, one comes across a couple of pressure-dependent terms, which though well known, are to an extent, lacking in their conceptual basis and the…

综合物理 · 物理学 2021-05-13 Ashok K. Singal

We regularize the potential distribution framework to calculate the excess free energy of liquid water simulated with the BLYP-D density functional. The calculated free energy is in fair agreement with experiments but the excess internal…

化学物理 · 物理学 2015-05-19 Valéry Weber , D. Asthagiri

We argue that the results presented by M. Semeraro et al. [Phys. Rev. Lett. 131, 158302 (2023)] for the work fluctuations of an active Ornstein-Uhlenbeck particle trapped in a harmonic potential are incomplete and partly inexact due to the…

统计力学 · 物理学 2024-02-13 M. L. Rosinberg , G. Tarjus , T. Munakata

In this work, with the help of fractional calculus, it is shown a time dependence of entropy more general than the well known Pesin relation is derived. Here the equiprobability postulate is not assumed, the system dynamic in the phase…

统计力学 · 物理学 2021-05-07 O. Sotolongo-Costa , I. Rodríguez-Vargas

In this note, the equilibrium curve of a thermodynamic system is used to depict entropy production in the process of thermalization with a reservoir. For the given initial and final equilibrium states of the system, the entropy production…

统计力学 · 物理学 2024-09-06 Ramandeep S. Johal