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Stochastic Thermodynamics (ST) extends the notions of classical thermodynamics to trajectories taken from a nonequilibrium ensemble. This extension yields a simple approach to fluctuation relations in small systems. Multiple time- and…

统计力学 · 物理学 2012-10-19 Bernhard Altaner

We consider a one-dimensional partial differential equation system modeling heat flow around a ring. The system includes a Klein-Gordon wave equation for a field satisfying spatial periodic boundary conditions, as well as Ornstein-Uhlenbeck…

数学物理 · 物理学 2015-06-04 Lawrence E. Thomas

One of the major challenges in stochastic thermodynamics is to compute the distributions of stochastic observables for small-scale systems for which fluctuations play a significant role. Hitherto much theoretical and experimental research…

统计力学 · 物理学 2021-09-08 Deepak Gupta , David A. Sivak

The majority vote model is one of the simplest opinion systems yielding distinct phase transitions and has garnered significant interest in recent years. However, its original formulation is not, in general, thermodynamically consistent,…

统计力学 · 物理学 2023-06-16 Felipe Hawthorne , Mário J. de Oliveira , Pedro E. Harunari , Carlos E. Fiore

In these notes I explain how to describe one-dimensional quantum systems that are simultaneously near to, but not exactly at, a critical point, and in a far-from-equilibrium steady state. This description uses a density matrix on scattering…

统计力学 · 物理学 2012-12-06 Benjamin Doyon

The Letter addresses the relationship between hyperbolic equations of heat conduction and microscopic models of dielectrics. Effects of the non-stationary heat conduction are investigated in two one-dimensional models with conserved…

统计力学 · 物理学 2015-05-14 Oleg V. Gendelman , Alexander V. Savin

The traditional approach to studying near-field thermal transfer is based on fluctuational electrodynamics. However, this approach may not be suitable for nonequilibrium states due to dynamic drivings. In our work, we introduce a…

介观与纳米尺度物理 · 物理学 2024-02-26 Gaomin Tang , Jian-Sheng Wang

We explore the idea that non-equilibrium steady states breaking detailed balance are obtained by deforming trajectories (lines in space-time) that have been sampled in a reference system with stochastic dynamics obeying detailed balance,…

统计力学 · 物理学 2018-04-17 Thomas Speck

We generalize time-evolving matrix product operators method to nonequilibrium quantum transport problems. The nonequilibrium current is obtained via numerical differentiation of the generating functional which is represented as a tensor…

介观与纳米尺度物理 · 物理学 2023-03-23 Ruofan Chen

A thermodynamically consistent model of non-classical coupled non-linear thermoelasticity capable of accounting for thermal wave propagation is proposed. The heat flux is assumed to consist of both additive energetic and dissipative…

统计力学 · 物理学 2015-07-20 Mebratu F. Wakeni , B. D. Reddy , A. T. McBride

Quantum and thermal fluctuations of electromagnetic waves are the cornerstone of quantum and statistical physics, and inherent to such phenomena as thermal radiation and van der Waals forces. While the basic principles are the material of…

其他凝聚态物理 · 物理学 2017-05-24 G. Bimonte , T. Emig , M. Kardar , M. Krüger

We show that for any liquid or solid with strong correlation between its $NVT$ virial and potential-energy equilibrium fluctuations, the temperature is a product of a function of excess entropy per particle and a function of density,…

软凝聚态物质 · 物理学 2012-03-13 Trond S. Ingebrigtsen , Lasse Bøhling , Thomas B. Schrøder , Jeppe C. Dyre

We introduce a model of interacting lattices at different resolutions driven by the two-dimensional Ising dynamics with a nearest-neighbor interaction. We study this model both with tools borrowed from equilibrium statistical mechanics as…

统计力学 · 物理学 2015-12-15 Davide Faranda , Martin Mihelich , Berengere Dubrulle

We show that models of opinion formation and dissemination in a community of individuals can be framed within stochastic thermodynamics from which we can build a nonequilibrium thermodynamics of opinion dynamics. This is accomplished by…

统计力学 · 物理学 2023-07-12 Tânia Tomé , Carlos E. Fiore , Mário J. de Oliveira

Active matter systems exhibit rich emergent behavior due to constant injection and dissipation of energy at the level of individual agents. Since these systems are far from equilibrium, their dynamics and energetics cannot be understood…

软凝聚态物质 · 物理学 2020-04-23 Sarah Eldeen , Ryan Muoio , Paris Blaisdell-Pijuan , Ngoc La , Mauricio Gomez , Alex Vidal , Wylie Ahmed

A large number of multifaceted quantum transport processes in molecular systems and physical nanosystems can be treated in terms of quantum relaxation processes which couple to one or several fluctuating environments. A thermal equilibrium…

统计力学 · 物理学 2007-05-23 Igor Goychuk , Peter Hanggi

We investigate the stationary state of a model system evolving according to a modified focusing truncated nonlinear Schr\"odinger equation (NLSE) used to describe the envelope of Langmuir waves in a plasma. We restrict the system to have a…

数学物理 · 物理学 2015-05-14 Philippe Mounaix , Pierre Collet , Joel L. Lebowitz

We consider a non-interacting one-dimensional gas accelerated by a constant and uniform external field. The energy absorbed from the field is transferred via elastic collisions to a bath of scattering obstacles. At gas-obstacle encounters…

统计力学 · 物理学 2009-11-11 Jaroslaw Piasecki , Rodrigo Soto

Classical thermodynamics is built with the concept of equilibrium states. However, it is less clear how equilibrium thermodynamics emerges through the dynamics that follows the principle of quantum mechanics. In this paper, we develop a…

量子物理 · 物理学 2018-12-18 Md. Manirul Ali , Wei-Ming Huang , Wei-Min Zhang

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