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We derive universal bounds for the finite-time survival probability of the stochastic work extracted in steady-state heat engines and the stochastic heat dissipated to the environment. We also find estimates for the time-dependent…

统计力学 · 物理学 2022-02-23 Gonzalo Manzano , Édgar Roldán

We develop non-equilibrium theory by using averages in time and space as a generalized way to upscale thermodynamics in non-ergodic systems. The approach offers a classical perspective on the energy dynamics in fluctuating systems. The rate…

软凝聚态物质 · 物理学 2021-09-29 James E. McClure , Steffen Berg , Ryan T. Armstrong

A microscopic model of interacting oscillators, which admits two conserved quantities, volume, and energy, is investigated. We begin with a system driven by a general nonlinear potential under high-temperature regime by taking the inverse…

概率论 · 数学 2023-08-15 Patrícia Gonçalves , Kohei Hayashi

Fluctuations in conjugate thermodynamic variables are studied using the cross-correlation function. A new procedure is given enabling the derivation of fluctuation formulas for a system in equilibrium. Specifically, the cross-correlation…

统计力学 · 物理学 2024-07-03 Jean-Luc Garden

Statistical physics in equilibrium grants us one of its most powerful tools: the equipartition principle. It states that the degrees of freedom of a mechanical system act as a thermometer: temperature is equal to the mean variance of their…

统计力学 · 物理学 2020-08-26 Alex Fontana , Richard Pedurand , Ludovic Bellon

We report an experimental and theoretical analysis of the energy exchanged between two conductors kept at different temperature and coupled by the electric thermal noise. Experimentally we determine, as functions of the temperature…

统计力学 · 物理学 2015-06-12 Sergio Ciliberto , Alberto Imparato , Antoine Naert , Marius Tanase

We propose a variational formulation for the nonequilibrium thermodynamics of discrete open systems, i.e., discrete systems which can exchange mass and heat with the exterior. Our approach is based on a general variational formulation for…

数学物理 · 物理学 2018-12-05 François Gay-Balmaz , Hiroaki Yoshimura

Markovian master equations provide a versatile tool for describing open quantum systems when memory effects of the environment may be neglected. As these equations are of an approximate nature, they often do not respect the laws of…

量子物理 · 物理学 2021-12-09 Patrick P. Potts , Alex Arash Sand Kalaee , Andreas Wacker

Small nonequilibrium systems in contact with a heat bath can be analyzed with the framework of stochastic thermodynamics. In such systems, fluctuations, which are not negligible, follow universal relations such as the fluctuation theorem.…

统计力学 · 物理学 2018-10-29 Andre C Barato , Raphael Chetrite , Alessandra Faggionato , Davide Gabrielli

A two-temperature lattice gas model with repulsive nearest-neighbour interactions is studied using Monte Carlo simulations and dynamical mean-field approximation. The evolution of the two-dimensional, half-filled system is described by an…

统计力学 · 物理学 2009-10-30 Attila Szolnoki

The theoretical understanding of active matter, which is driven out of equilibrium by directed motion, is still fragmental and model oriented. Stochastic thermodynamics, on the other hand, is a comprehensive theoretical framework for driven…

统计力学 · 物理学 2017-01-05 Thomas Speck

We provide a stochastic thermodynamic description across scales for $N$ identical units with all-to-all interactions that are driven away from equilibrium by different reservoirs and external forces. We start at the microscopic level with…

统计力学 · 物理学 2020-07-07 Tim Herpich , Tommaso Cossetto , Gianmaria Falasco , Massimiliano Esposito

We analyze energetics of a non-Gaussian process described by a stochastic differential equation of the Langevin type. The process represents a paradigmatic model of a nonequilibrium system subject to thermal fluctuations and additional…

统计力学 · 物理学 2015-06-16 L. Kusmierz , J. M. Rubi , E. Gudowska-Nowak

Temperature uncertainty of a quantum system in canonical ensemble is inversely determined by its energy fluctuation, which is known as the temperature-energy uncertainty relation. No such uncertainty relation was discovered for a…

量子物理 · 物理学 2022-05-03 Ning Zhang , Si-Yuan Bai , Chong Chen

In these lecture notes, the basic principles of stochastic thermodynamics are developed starting with a closed system in contact with a heat bath. A trajectory undergoes Markovian transitions between observable meso-states that correspond…

统计力学 · 物理学 2018-06-13 Udo Seifert

We propose a new formulation of the fluctuating lattice Boltzmann equation that is consistent with both equilibrium statististical mechanics and fluctuating hydrodynamics. The formalism is based on a generalized lattice-gas model, with each…

软凝聚态物质 · 物理学 2009-11-13 Burkhard Duenweg , Ulf D. Schiller , Anthony J. C. Ladd

We present a numerically exact method to compute the full counting statistics of heat transfer in non-Markovian open quantum systems, which is based on the time-evolving matrix product operator (TEMPO) algorithm. This approach is applied to…

In addition to providing general constraints on probability distributions, fluctuation theorems allow to infer essential information on the role played by temperature in heat exchange phenomena. In this numerical study, we measure the…

统计力学 · 物理学 2024-12-11 Massimiliano Semeraro , Antonio Suma , Giuseppe Negro

How can a system in a macroscopically stable state explore energetically more favorable states, which are far away from the current equilibrium state? Based on continuum mechanical considerations we derive a Boussinesq-type equation which…

patt-sol · 物理学 2007-05-23 F. Theil , V. I. Levitas

We continue the investigation, started in [J. Stat. Phys. 166, 926-1015 (2017)], of a network of harmonic oscillators driven out of thermal equilibrium by heat reservoirs. We study the statistics of the fluctuations of the heat fluxes…

数学物理 · 物理学 2020-08-07 Mondher Damak , Mayssa Hammami , Claude-Alain Pillet