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Kinetically constrained models (KCM) generically have trivial thermodynamics and yet manifest rich glassy dynamics. In order to resolve the thermodynamics-dynamics disconnect in KCMs, we derive a KCM by coarse-graining a non-trivial…

Statistical Mechanics · Physics 2019-09-19 S. S. Ashwin

We obtain macroscopic isothermal thermodynamic transformations by space-time scalings of a microscopic Hamiltonian dynamics in contact with a heat bath. The microscopic dynamics is given by a chain of anharmonic oscillators subject to a…

Statistical Mechanics · Physics 2013-10-03 Stefano Olla

Multiscale thermodynamics is a theory of relations among levels of description. Energy and entropy are its two main ingredients. Their roles in the time evolution describing approach of a level (starting level) to another level involving…

Statistical Mechanics · Physics 2024-02-26 Miroslav Grmela

We consider stochastic thermodynamics as a theory of statistical inference for experimentally observed fluctuating time-series. To that end, we introduce a general framework for quantifying the knowledge about the dynamical state of the…

Statistical Mechanics · Physics 2015-05-19 Bernhard Altaner , Jürgen Vollmer

We argue that macroscopic electrodynamics is unsuited to describe the process of radiative thermalization between a levitated nanoparticle in high vacuum and the thermal electromagnetic field. Based on physical arguments, we propose a model…

Quantum Physics · Physics 2018-10-10 Adrian E. Rubio Lopez , Carlos Gonzalez-Ballestero , Oriol Romero-Isart

Classical thermodynamics contains familiar geometric relations associated with cyclic processes, most notably the identification of mechanical work with the area enclosed by a trajectory in the $(P,V)$ plane. We show that the area laws for…

Statistical Mechanics · Physics 2026-03-25 Eric R. Bittner

In stochastic thermodynamics, the entropy production of a thermodynamic system is defined by the irreversibility measured by the logarithm of the ratio of the path probabilities in the forward and reverse processes. We derive the relation…

Statistical Mechanics · Physics 2018-03-14 Hyun-Myung Chun , Jae Dong Noh

Quantum thermodynamics has emerged as a central field for understanding how energy conversion processes occur in microscopic systems. In these systems, effects such as coherence, entanglement, and non-Markovianity play key roles. In this…

Quantum Physics · Physics 2025-12-02 J. M. Z. Choquehuanca

Classical thermodynamics is unrivalled in its range of applications and relevance to everyday life. It enables a description of complex systems, made up of microscopic particles, in terms of a small number of macroscopic quantities, such as…

Quantum Physics · Physics 2016-01-13 James Millen , André Xuereb

We develop an axiomatic reconstruction of thermodynamics based entirely on two primitive components: a description of what aspects of a system are observed and a reference measure that encodes the underlying descriptive convention. These…

Chemical Physics · Physics 2026-01-21 Tatsuaki Tsuruyama

Entropy is a fundamental concept from Thermodynamics and it can be used to study models on context of Creation Cold Dark Matter (CCDM). From conditions on the first ($\dot{S}\geq0$)\footnote{Throughout the present work we will use dots to…

General Relativity and Quantum Cosmology · Physics 2020-12-02 R. Valentim , J. F. Jesus

The thermodynamics of quantum systems driven out of equilibrium has attracted increasing attention in last the decade, in connection with quantum information and statistical physics, and with a focus on non-classical signatures. While a…

Quantum Physics · Physics 2022-06-01 Gonzalo Manzano , Roberta Zambrini

Experimental data bases are typically very large and high dimensional. To learn from them requires to recognize important features (a pattern), often present at scales different to that of the recorded data. Following the experience…

Data Analysis, Statistics and Probability · Physics 2021-01-21 Francisco Chinesta , Elias Cueto , Miroslav Grmela , Beatriz Moya , Michal Pavelka , Martin Sipka

We describe a one-dimensional self-gravitating system derived from the problem of large-scale structure formation in cosmology. Considering small times so that the expansion can be neglected we present a thermodynamical analysis of this…

Astrophysics · Physics 2009-11-11 Patrick Valageas

We establish universal relations between pattern formation and dissipation with a geometric approach to nonequilibrium thermodynamics of deterministic reaction-diffusion systems. We first provide a way to systematically decompose the…

Statistical Mechanics · Physics 2026-05-04 Ryuna Nagayama , Kohei Yoshimura , Artemy Kolchinsky , Sosuke Ito

Small thermodynamic systems exhibit peculiar behavior different from that observed in long-scale systems. Non-equilibrium processes taking place in those systems are strongly influenced by the presence of fluctuations which can be large.…

Statistical Mechanics · Physics 2007-05-23 J. M. Rubi

Present-day thermodynamics has long outgrown the initial frames of the heat-engine theory and transmuted into a rather general macroscopic method for studying kinetics of various transfer processes in their inseparable connection with the…

General Physics · Physics 2014-04-02 V. A Etkin

Thermal contact is the archetype of non-equilibrium processes driven by constant non-equilibrium constraints enforced by reservoirs exchanging conserved microscopic quantities. In models with a finite number of possible configurations, if…

Statistical Mechanics · Physics 2015-05-06 Françoise Cornu , Michel Bauer

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

Stochastic thermodynamics extends the notions and relations of classical thermodynamics to small systems that experience strong fluctuations. The definitions of work and heat and the microscopically reversible condition are two key concepts…

Statistical Mechanics · Physics 2019-07-23 Geng Li , Z. C. Tu