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A two-temperature linear spin model is presented that allows an easily understandable introduction to non-equilibrium statistical physics. The model is one that includes the concepts that are typical of more realistic non-equilibrium models…

Statistical Mechanics · Physics 2009-11-13 I. Mazilu , H. T. Williams

Equilibrium is a rather ideal situation, the exception rather than the rule in Nature. Whenever the external or internal parameters of a physical system are varied its subsequent relaxation to equilibrium may be either impossible or take…

Statistical Mechanics · Physics 2016-10-04 Leticia F. Cugliandolo

The energy conversion efficiency of far-from-equilibrium systems is generally limited by irreversible thermodynamic fluxes that make contact with different heat baths. For complex systems, the states of the maximum efficiency and the…

Quantum Physics · Physics 2019-04-09 Shanhe Su , Wei Shen , Jianying Du , Jincan Chen

We develop non-equilibrium theory by using averages in time and space as a generalized way to upscale thermodynamics in non-ergodic systems. The approach offers a classical perspective on the energy dynamics in fluctuating systems. The rate…

Soft Condensed Matter · Physics 2021-09-29 James E. McClure , Steffen Berg , Ryan T. Armstrong

Isoenergetic thermalization amongst $n$ bodies is a well-known irreversible process, bringing the bodies to a common temperature $T_F$ and leading to a rise in the total entropy of the bodies. We express this change in entropy using the…

Statistical Mechanics · Physics 2024-11-07 Vansh Narang , Renuka Rai , Ramandeep S. Johal

We develop a theory of the effective disorder temperature in glass-forming materials driven away from thermodynamic equilibrium by external forces. Our basic premise is that the slow configurational degrees of freedom of such materials are…

Materials Science · Physics 2015-05-13 Eran Bouchbinder , J. S. Langer

Quantum thermodynamics investigates how robust the second law of thermodynamics serves as the unique fundamental law in the small quantum world. To tackle this problem, the quantum coherence constitutes a major difficulty of investigations,…

Quantum Physics · Physics 2025-10-08 Naoto Shiraishi , Ryuji Takagi

A generalization of the Gibbs entropy postulate is proposed based on the BBGKY hierarchy as the nonequilibrium entropy for a system of N interacting particles. This entropy satisfies the basic principles of thermodynamics in the sense that…

Statistical Mechanics · Physics 2007-05-23 A. Perez-Madrid

From a viewpoint of stochastic thermodynamics, we derive equations that describe the collective dynamics near the order-disorder transition in the globally coupled XY model and near the synchronization-desynchronization transition in the…

Statistical Mechanics · Physics 2015-05-20 Shin-ichi Sasa

We develop the stochastic approach to thermodynamics based on the stochastic dynamics, which can be discrete (master equation) continuous (Fokker-Planck equation), and on two assumptions concerning entropy. The first is the definition of…

Statistical Mechanics · Physics 2015-06-11 Tânia Tomé , Mário J. de Oliveira

Recently, a thermodynamic definition of time has been introduced. This definition is useful to find approach some open problems in physics. But, it was obtained by a phenomenological approach and a logical inconsistency appears in the…

Statistical Mechanics · Physics 2023-11-14 Umberto Lucia

Macroscopic nonextensive thermodynamics is studied without recourse to microscopic statistical mechanics. It is shown that if entropy is nonextensive, the concept of physical temperature introduced through the generalized zeroth law of…

Statistical Mechanics · Physics 2007-05-23 Sumiyoshi Abe

We proved that the uncertainty relation fits in with many-particle system and the equality of the relation corresponds to the thermodynamic equilibrium state, the inequality of the relation corresponds to the thermodynamic non-equilibrium…

Quantum Physics · Physics 2007-05-23 You-gang Feng

Thermodynamics is the phenomenological theory of heat and work. Here we analyze to what extent quantum thermodynamic relations are immune to the underlying mathematical formulation of quantum mechanics. As a main result, we show that the…

Quantum Physics · Physics 2016-04-21 Bartłomiej Gardas , Sebastian Deffner , Avadh Saxena

It is believed that thermodynamic laws are associated with random processes occurring in the system and, therefore, deterministic mechanical systems cannot be described within the framework of the thermodynamic approach. In this paper, we…

Classical Physics · Physics 2020-09-28 Sergey Rashkovskiy

Second law of thermodynamics is applied to a few electronic processes. It is seen that the second law of thermodynamics holds good for all except one mentioned here. The classical approach, based on exact equivalence of emission and…

General Physics · Physics 2007-05-23 R. C. Gupta , Ruchi Gupta , Sanjay Gupta

Extended Thermodynamics is a very important theory: for example, it predicts hyperbolicity, finite speeds of propagation waves as well as continuous dependence on initial data. Therefore, it constitutes a significative improvement of…

Mathematical Physics · Physics 2007-05-23 Sebastiano Pennisi , Maria Cristina Carrisi , Antonio Scanu

Stochastic thermodynamics as reviewed here systematically provides a framework for extending the notions of classical thermodynamics like work, heat and entropy production to the level of individual trajectories of well-defined…

Statistical Mechanics · Physics 2015-06-05 Udo Seifert

Validity of local equilibrium has been questioned for non-equilibrium systems which are characterized by delayed response. In particular, for systems with non-zero thermodynamic inertia, the assumption of local equilibrium leads to negative…

Statistical Mechanics · Physics 2015-07-29 K. S. Glavatskiy

We show that non-Markovian effects of the reservoirs can be used as a resource to extract work from an Otto cycle. The state transformation under non-Markovian dynamics is achieved via a two-step process, namely an isothermal process using…

Quantum Physics · Physics 2018-06-07 George Thomas , Nana Siddharth , Subhashish Banerjee , Sibasish Ghosh