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The approach to a substantiation of thermodynamics is offered. A conservative system of interacting elements, which is not in equilibrium, is used as a model. This system is then split into small subsystems that are accepted as being in…

统计力学 · 物理学 2007-05-23 V. M. Somsikov

In stochastic thermodynamics standard concepts from macroscopic thermodynamics, such as heat, work, and entropy production, are generalized to small fluctuating systems by defining them on a trajectory-wise level. In Langevin systems with…

统计力学 · 物理学 2019-09-04 Stefano Bo , Soon Hoe Lim , Ralf Eichhorn

In this work, we study the stochastic dynamics of micro-magnetics interacting with a spin-current torque. We extend the previously constructed stochastic Landau-Lifshitz equation to the case with spin-current torque, and verify the…

统计力学 · 物理学 2024-08-06 Mingnan Ding , Jun Wu , Xiangjun Xing

We address long-standing inconsistencies in relativistic thermodynamics, particularly the ambiguities in temperature transformations and entropy evolution in moving or accelerating frames. Traditional approaches often lead to spurious…

综合物理 · 物理学 2025-02-06 Biswajit Pandey

The aim of this study is tree-fold. First, we investigate the thermodynamics of the Ising models with respect to 2-multiple Hamiltonians. This extends the previous results of [Chazotte and Redig, Electron. J. Probably., 2014] to…

概率论 · 数学 2022-03-18 Jung-Chao Ban , Wen-Guei Hu , Guan-Yu Lai

The thermodynamic approach to non-equilibrium dynamics describes the state of macroscopic systems by means of a collection of intensities or intensive variables. The latter are by definition the differentials of the entropy with respect to…

chao-dyn · 物理学 2008-02-03 Z. Hens , X. de Hemptinne

The relative entropy in two-dimensional Field Theory is studied for its application as an irreversible quantity under the Renormalization Group, relying on a general monotonicity theorem for that quantity previously established. In the…

高能物理 - 理论 · 物理学 2008-11-26 J. Gaite

Nonstationary thermodynamic quantities depend on the full details of nonstationary probability distributions, making them difficult to measure directly in experiments and numerics. We propose a method to infer thermodynamic quantities in…

统计力学 · 物理学 2024-04-04 Naruo Ohga , Sosuke Ito

We survey some results on non-uniform hyperbolicity, geometric pressure and equilibrium states in one-dimensional real and complex dynamics. We present some relations with Hausdorff dimension and measures with refined gauge functions of…

动力系统 · 数学 2018-06-19 Feliks Przytycki

We propose a gradient flow perspective to the spatially homogeneous Landau equation for soft potentials. We construct a tailored metric on the space of probability measures based on the entropy dissipation of the Landau equation. Under this…

偏微分方程分析 · 数学 2024-05-22 José A. Carrillo , Matias G. Delgadino , Laurent Desvillettes , Jeremy S. H. Wu

Recently, some of us developed a novel model glass-forming liquid with k extra interactions with pseudo neighbours to each liquid particle over and above the regular interactions with its neighbours. Analysis of the structure and dynamics…

The optimization of the conversion of thermal energy into work and the minimization of dissipation for nano- and mesoscopic systems is a complex challenge because of the important role fluctuations play on the dynamics of small systems. We…

量子物理 · 物理学 2025-09-24 Alberto Rolandi

A simplified relativistic kinetic theory for gases with internal degrees of freedom, based on a BGK-type collision term, is considered. First the Boltzmann equation is rewritten in tetrad form and then thermal coefficients are determined to…

广义相对论与量子宇宙学 · 物理学 2026-04-13 Philip Semrén , Michael Bradley , João M. S. Oliveira , M. Piedade Machado Ramos

A complete thermodynamical analysis for a non-reacting binary mixture exhibiting the features of a third grade fluid is analyzed. The constitutive functions are allowed to depend on the mass density of the mixture and the concentration of…

数学物理 · 物理学 2023-11-21 Matteo Gorgone , Patrizia Rogolino

We propose a formalization for dissipative fluids with interfaces in an inhomogeneous temperature field from the viewpoint of a variational principle. Generally, the Lagrangian of a fluid is given by the kinetic energy density minus the…

流体动力学 · 物理学 2015-07-10 Hiroki Fukagawa , Chun Liu , Takeshi Tsuji

We present a convenient technique describing the condensate in dynamical equilibrium with the thermal cloud, at temperatures close to the critical one. We show that the whole isolated system may be viewed as a single classical field…

凝聚态物理 · 物理学 2007-05-23 K. Goral , M. Gajda , K. Rzazewski

We consider the governing equations for the motion of the viscous fluids in two moving domains and an evolving surface from both energetic and thermodynamic points of view. We make mathematical models for multiphase flow with surface flow…

数学物理 · 物理学 2023-01-10 Hajime Koba

It is a great challenge of nonequilibrium statistical mechanics to calculate entropy production within a microscopic theory. In the framework of linear irreversible thermodynamics, we combine the Mori-Zwanzig-Forster projection operator…

统计力学 · 物理学 2014-01-28 Raphael Wittkowski , Hartmut Löwen , Helmut R. Brand

We analyze the equilibrium space of an ideal gas using the formalism of geometrothermodynamics. We introduce the concept of thermodynamic geodesics to show that the equilibrium space around a particular initial state can be divided into two…

广义相对论与量子宇宙学 · 物理学 2024-10-11 Hernando Quevedo

According to excess-entropy scaling, dynamic properties of liquids like viscosity and diffusion coefficient are determined by the entropy. This link between dynamics and thermodynamics is increasingly studied and of interest also for…

软凝聚态物质 · 物理学 2024-08-13 Ian M. Douglass , Jeppe C. Dyre , Lorenzo Costigliola