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In this paper we present a self-contained macroscopic description of diffusive systems interacting with boundary reservoirs and under the action of external fields. The approach is based on simple postulates which are suggested by a wide…

统计力学 · 物理学 2015-12-18 L. Bertini , A. De Sole , D. Gabrielli , G. Jona-Lasinio , C. Landim

In this paper, a thermodynamically consistent phase-field model is proposed to describe the mass transport and reaction processes of multiple species in a fluid. A key feature of this model is that reactions between different species occur…

数值分析 · 数学 2025-03-24 Zhaoyang Wang , Huaxiong Huang , Ping Lin , Shixin Xu

For classical nonequilibrium systems, the separation of the total entropy production into the adiabatic and nonadiabatic contributions is useful for understanding irreversibility in nonequilibrium thermodynamics. In this article, we…

统计力学 · 物理学 2015-06-16 Jordan M. Horowitz , Juan M. R. Parrondo

A general formulation is presented to derive the equation of motion and to demonstrate thermodynamic consistency for several classes of phase field models at once. It applies to models with a conserved phase field, describing either uniform…

材料科学 · 物理学 2011-05-06 Mowei Cheng , Stefaan Cottenier , Heike Emmerich

We define a thermostatic system to be a convex space of states together with a concave function sending each state to its entropy, which is an extended real number. This definition applies to classical thermodynamics, classical statistical…

数学物理 · 物理学 2023-02-13 John C. Baez , Owen Lynch , Joe Moeller

We introduce the idea of {\it collisional models} for Brownian particles, in which a particle is sequentially placed in contact with distinct thermal environments and external forces. Thermodynamic properties are exactly obtained,…

统计力学 · 物理学 2020-10-07 Angel L. L. Stable , Carlos E. F. Noa , William G. C. Oropesa , C. E. Fiore

Nonlinear feedbacks in the Earth System provide mechanisms that can prove very useful in understanding complex dynamics with relatively simple concepts. For example, the temperature and the ice cover of the planet are linked in a positive…

大气与海洋物理 · 物理学 2015-05-27 Corentin Herbert , Didier Paillard , Bérengère Dubrulle

The population dynamics and stability of ecosystems of interacting species is studied from the perspective of non-equilibrium thermodynamics by assuming that species, through their biotic and abiotic interactions, are units of entropy…

生物物理 · 物理学 2007-05-23 Karo Michaelian

We present basic equations of nonequilibrium thermo field dynamics of dense quantum systems. A formulation of nonequilibrium thermo field dynamics has been performed using the nonequilibrium statistical operator method by D.N.Zubarev.…

核理论 · 物理学 2007-05-23 M. V. Tokarchuk , A. E. Kobryn

A non-isothermal phase field model that captures both displacive and diffusive phase transformations in a unified framework is presented. The model is developed in a formal thermodynamic setting, which provides guidance on admissible…

材料科学 · 物理学 2011-12-02 Mirko Maraldi , Garth N. Wells , Luisa Molari

Quantitative studies of cell metabolism are often based on large chemical reaction network models. A steady state approach is suited to analyze phenomena on the timescale of cell growth and circumvents the problem of incomplete experimental…

分子网络 · 定量生物学 2019-02-20 A. De Martino , D. De Martino , E. Marinari

Time-translation symmetry breaking is a mechanism for the emergence of non-stationary many-body phases, so-called time-crystals, in Markovian open quantum systems. Dynamical aspects of time-crystals have been extensively explored over the…

量子物理 · 物理学 2024-05-08 Federico Carollo , Igor Lesanovsky , Mauro Antezza , Gabriele De Chiara

For the system with inhomogeneous distribution of macroscopic parameters we obtain thermodynamic relation which depends on the spatial point (coordinate). In our approach, to obtain such a relation we use the basic ideas of the method of…

统计力学 · 物理学 2025-09-24 A. P. Rebesh , B. I. Lev , A. G. Zagorodny

The proper definition of entropy is fundamental to the relationship between statistical mechanics and thermodynamics. It also plays a major role in the recent debate about the validity of the concept of negative temperature. In this paper,…

统计力学 · 物理学 2015-11-18 Robert H. Swendsen

We formulate a stochastic description of entropy production in scattering theory for coherent transport. We distinguish between the information entropy change due to partial knowledge of the leads' state and the thermodynamic entropy change…

介观与纳米尺度物理 · 物理学 2026-04-29 Ludovico Tesser , Henning Kirchberg , Matteo Acciai , Janine Splettstoesser

In the present thesis, we study the heat flow in mesoscopic one-dimensional transport systems. Using the analysis of full counting statistics, we calculate the cumulant generating function of the particle and heat flows and prove its…

统计力学 · 物理学 2015-04-22 Kaoru Yamamoto

We establish global-in-time existence results for thermodynamically consistent reaction-(cross-)diffusion systems coupled to an equation describing heat transfer. Our main interest is to model species-dependent diffusivities, while at the…

偏微分方程分析 · 数学 2022-02-11 Julian Fischer , Katharina Hopf , Michael Kniely , Alexander Mielke

Completely positive trace preserving maps are essential for the formulation of the second law of thermodynamics. The dynamics of quantum systems, correlated with their environments, are in general not described by such maps. We explore how…

量子物理 · 物理学 2016-08-18 Sai Vinjanampathy , Kavan Modi

Optimality principles in nonequilibrium transport networks are linked to a thermodynamic formalism based on generalized transport potentials endowed with Legendre duality and related contact structure. This allows quantifying the distance…

The thermodynamics of quantum systems coupled to periodically modulated heat baths and work reservoirs is developed. By identifying affinities and fluxes, the first and second law are formulated consistently. In the linear response regime,…

统计力学 · 物理学 2016-06-29 Kay Brandner , Udo Seifert
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