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We study the heat transport in systems of coupled oscillators driven out of equilibrium by Gaussian heat baths. We illustrate with a few examples that such systems can exhibit ``strange'' transport phenomena. In particular, {\em…

混沌动力学 · 物理学 2009-11-10 Jean-Pierre Eckmann , Emmanuel Zabey

We study analytically the probability distribution of the heat released by an ensemble of harmonic oscillators to the thermal bath, in the nonequilibrium relaxation process following a temperature quench. We focus on the asymmetry…

统计力学 · 物理学 2017-05-29 A. Crisanti , A. Sarracino , M. Zannetti

We analytically study the role of nonconservative forces, namely viscous couplings, on the statistical properties of the energy flux between two Brownian particles kept at different temperatures. From the dynamical model describing the…

统计力学 · 物理学 2016-12-01 Antoine Bérut , Alberto Imparato , Artyom Petrosyan , Sergio Ciliberto

Heat transport in open quantum systems is particularly susceptible to the modeling of system-reservoir interactions. It thus requires to consistently treat the coupling between a quantum system and its environment. While perturbative…

统计力学 · 物理学 2017-06-07 Thomas Motz , Joachim Ankerhold , Jürgen T. Stockburger

Heat fluctuations of a harmonic oscillator in contact with a thermostat and driven out of equilibrium by an external deterministic force are studied experimentally and theoretically within the context of Fluctuation Theorems. We consider…

统计力学 · 物理学 2007-05-23 Sylvain Joubaud , Nicolas B. Garnier , Sergio Ciliberto

The standard approach to non-equilibrium thermodynamics describes transport in terms of generalised forces and coupled currents, a typical example being the Fourier law that relates temperature gradient to the heat flux. Here we demonstrate…

统计力学 · 物理学 2015-05-20 Simone Borlenghi , Stefano Iubini , Stefano Lepri , Lars Bergqvist , Anna Delin , Jonas Frannson

Momentum-conserving one-dimensional models are known to exhibit anomalous Fourier's law, with a thermal conductivity varying as a power law of the system size. Here we measure, by numerical simulations, several cumulants of the heat flux of…

统计力学 · 物理学 2015-05-18 E. Brunet , B. Derrida , A. Gerschenfeld

A general formulation is developed to study heat conduction in disordered harmonic chains with arbitrary heat baths that satisfy the fluctuation-dissipation theorem. A simple formal expression for the heat current J is obtained, from which…

统计力学 · 物理学 2009-11-07 Abhishek Dhar

We address the question of transport of heat, in out-of-equilibrium systems. The experimental set-up consists in two coupled granular gas Non-Equilibrium Steady State (NESS) heat baths, in which Brownian-like rotors are imbedded. These…

统计力学 · 物理学 2021-05-05 Mona Lamèche , Antoine Naert

The fluctuations of the work done by an external Gaussian random force on a harmonic oscillator that is also in contact with a thermal bath is studied. We have obtained the exact large deviation function as well as the complete asymptotic…

统计力学 · 物理学 2011-11-08 Sanjib Sabhapandit

We investigate the thermal responses of a harmonic oscillator chain coupled at its boundaries to heat baths held at different temperatures. This setup sustains a steady energy flux, continuously dissipating heat into both reservoirs. By…

统计力学 · 物理学 2026-04-16 Michiel Gautama , Faezeh Khodabandehlou , Christian Maes , Ion Santra

We summarize and extend some of the results obtained recently for the microscopic and macroscopic behavior of a pinned harmonic chain, with random velocity flips at Poissonian times, acted on by a periodic force {at one end} and in contact…

统计力学 · 物理学 2023-05-17 Tomasz Komorowski , Joel Lebowitz , Stefano Olla , Marielle Simon

We consider one-dimensional systems of all-to-all harmonically coupled particles with arbitrary masses, subject to two Langevin thermal baths. The couplings correspond to the mean-field limit of long-range interactions. Additionally, the…

统计力学 · 物理学 2022-06-08 L. Defaveri , C. Olivares , C. Anteneodo

We study heat conduction in quantum disordered harmonic chains connected to general heat reservoirs which are modeled as infinite collection of oscillators. Formal exact expressions for the thermal current are obtained and it is shown that,…

介观与纳米尺度物理 · 物理学 2007-05-23 Abhishek Dhar

In this paper we give a brief review of the relation between microscopic dynamical properties and the Fourier law of heat conduction as well as the connection between anomalous conduction and anomalous diffusion. We then discuss the…

材料科学 · 物理学 2015-06-25 Giulio Casati , Baowen LI

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

The non-equilibrium state of two oscillators with a mutual interaction and coupled to separate heat baths is discussed. Bosonic baths are considered, and an exact spectral representation for the elements of the covariance matrix is provided…

量子物理 · 物理学 2021-12-03 Carsten Henkel

We discuss the problem of heat conduction in classical and quantum low dimensional systems from a microscopic point of view. At the classical level we provide convincing numerical evidence for the validity of Fourier law of heat conduction…

统计力学 · 物理学 2008-07-15 Giulio Casati , Carlos Mejia-Monasterio

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

We provide an explicit representation of the nonequilibrium invariant measure for a chain of harmonic oscillators with conservative noise in the presence of stationary heat flow. By first determining the covariance matrix, we are able to…

统计力学 · 物理学 2009-11-13 L. Delfini , S. Lepri , R. Livi , A. Politi
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