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Demonstrating how microscopic dynamics cause large systems to approach thermal equilibrium remains an elusive, longstanding, and actively-pursued goal of statistical mechanics. We identify here a dynamical mechanism for thermalization in a…

统计力学 · 物理学 2016-06-01 Stephan De Bièvre , Carlos Mejía-Monasterio , Paul E. Parris

A new formulation of the thermodynamic field theory (TFT) is presented. In this new version, one of the basic restriction in the old theory, namely a closed-form solution for the thermodynamic field strength, has been removed. In addition,…

统计力学 · 物理学 2013-05-29 Giorgio Sonnino

We introduce the multiplicative Ising model and prove basic properties of its thermodynamic formalism such as existence of pressure and entropies. We generalize to one-dimensional "layer-unique" Gibbs measures for which the same results can…

概率论 · 数学 2014-01-30 J. -R. Chazottes , F. Redig

Starting from a formulation for the $dS$ element that includes movement, and considering the variation of the entropy Lorentz invariant, we found the relativistic transformations for thermodynamic systems that satisfy the three laws of…

经典物理 · 物理学 2008-03-20 C. A. Farías , P. S. Moya , V. A. Pinto

To test a possible relation between the topological entropy and the Arnold complexity, and to provide a non trivial example of a rational dynamical zeta function, we introduce a two-parameter family of two-dimensional discrete rational…

Thermodynamic entropy is determined by a heat measurement through the Clausius equality. The entropy then formalizes a fundamental limitation of operations by the second law of thermodynamics. The entropy is also expressed as the Shannon…

统计力学 · 物理学 2015-06-17 Shin-ichi Sasa

Microcanonical equations for several thermodynamic properties of a system, suitable for molecular dynamics simulations, are derived from the nonextensive Tsallis entropy functional. Two possible definitions of temperature, the usual one and…

统计力学 · 物理学 2011-03-21 J. Carrete , L. M. Varela , L. J. Gallego

In this work, Podolsky theory, a second-order, Lorentz- and gauge-invariant extension of classical electrodynamics, is considered. The effects of Podolsky's modification on fundamental phenomena such as the Stefan-Boltzmann law and the…

高能物理 - 理论 · 物理学 2026-05-13 L. H. A. R. Ferreira , A. F. Santos

The thermodynamic formalism, which was first developed for dynamical systems and then applied to discrete Markov processes, turns out to be well suited for continuous time Markov processes as well, provided the definitions are interpreted…

统计力学 · 物理学 2009-11-13 Vivien Lecomte , Cecile Appert-Rolland , Frederic Van-Wijland

We theoretically predict a novel type of synthetic Lorentz force for classical (cold) atomic gases, which is based on the Doppler effect and radiation pressure. A fairly uniform and strong force can be constructed for gases in macroscopic…

原子物理 · 物理学 2014-06-25 T. Dubček , N. Šantić , D. Jukić , D. Aumiler , T. Ban , H. Buljan

We derive the thermomagnonic torque associated with smooth magnetic textures subjected to a temperature gradient, in the framework of the stochastic Landau-Lifshitz-Gilbert equation. Our approach captures on equal footing two distinct…

介观与纳米尺度物理 · 物理学 2015-10-30 Se Kwon Kim , Yaroslav Tserkovnyak

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…

统计力学 · 物理学 2015-06-11 Tânia Tomé , Mário J. de Oliveira

We derive a linear thermodynamics theory for general Markov dynamics with both steady-state and time-periodic drivings. Expressions for thermodynamic quantities, such as mechanical and chemical work, heat and entropy production are obtained…

统计力学 · 物理学 2019-09-04 Karel Proesmans , Carlos E. Fiore

A question that is currently highly debated is whether the microcanonical entropy should be expressed as the logarithm of the phase volume (volume entropy, also known as the Gibbs entropy) or as the logarithm of the density of states…

统计力学 · 物理学 2015-05-28 Michele Campisi

We study the dynamics of a granular gas heated by the stochastic thermostat. From a Boltzmann description, we derive the hydrodynamic equations for small perturbations around the stationary state that is reached in the long time limit.…

统计力学 · 物理学 2014-01-08 M. I. Garcia de Soria , P. Maynar , E. Trizac

Internal energy, enthalpy and entropy are the key quantities to study thermodynamic properties of the moist atmosphere, because they correspond to the First (internal energy and enthalpy) and Second (entropy) Laws of thermodynamics. The aim…

大气与海洋物理 · 物理学 2015-10-13 Pascal Marquet , Jean-François Geleyn

We explore alternative formulations of the analogy between viable Horndeski gravity and Eckart's first-order thermodynamics. We single out a class of identifications for the effective stress-energy tensor of the scalar field fluid that,…

广义相对论与量子宇宙学 · 物理学 2024-09-30 Luca Gallerani , Marcello Miranda , Andrea Giusti , Andrea Mentrelli

Establishing a description for confinement is not something simple. In order to try to understand a little about this phenomenon, we will explore the thermodynamics of models that try to describe it in terms of propagators with violation of…

高能物理 - 理论 · 物理学 2018-04-27 A. V. Silva , B. W. Mintz

We derive thermodynamic functionals for spatially inhomogeneous magnetization on a torus in the context of an Ising spin lattice model. We calculate the corresponding free energy and pressure (by applying an appropriate external field using…

概率论 · 数学 2016-08-24 A. Montino , N. Soprano-Loto , D. Tsagkarogiannis

This paper introduces a theory of Thermodynamic Formalism for Iterated Function Systems with Measures (IFSm). We study the spectral properties of the Transfer and Markov operators associated to a IFSm. We introduce variational formulations…

动力系统 · 数学 2022-11-10 Jader E. Brasil , Elismar R. Oliveira , Rafael Rigão Souza