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We investigate the macroscopic behavior of the disordered harmonic chain of oscillators, through energy diffusion. The Hamiltonian dynamics of the system is perturbed by a degenerate conservative noise. After rescaling space and time…

概率论 · 数学 2020-10-23 Clément Erignoux , Marielle Simon

The Heat theorem reveals the second law of equilibrium Thermodynamics (i.e.existence of Entropy) as a manifestation of a general property of Hamiltonian Mechanics and of the Ergodic Hypothesis, valid for 1 as well as $10^{23}$ degrees of…

统计力学 · 物理学 2008-02-01 Giovanni Gallavotti

A normal-diffusion theory for heat transfer in many-body systems via carriers of thermal photons is developed. The thermal conductivity tensor is rigorously derived from fluctuational electrodynamics as a coefficient of diffusion term for…

应用物理 · 物理学 2022-11-04 Minggang Luo , Junming Zhao , Linhua Liu

The non-Fourier heat conduction phenomenon on room temperature is analyzed from various aspects. The first one shows its experimental side, in what form it occurs and how we treated it. It is demonstrated that the Guyer-Krumhansl equation…

Recent simulation results on heat conduction in a one-dimensional chain with an asymmetric inter-particle interaction potential and no onsite potential found non-anomalous heat transport in accordance to Fourier's law. This is a surprising…

统计力学 · 物理学 2015-06-17 Suman G. Das , Abhishek Dhar , Onuttom Narayan

In the last ten years, a number of ``Conventional Fluctuation Theorems'' have been derived for systems with deterministic or stochastic dynamics, in a transient or in a non-equilibrium stationary state. These theorems gave explicit…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

Continuing our work on the nature and existence of fluctuation-dissipation relations (FDR) in linear and nonlinear open quantum systems [1-3], here we consider such relations when a linear system is in a nonequilibrium steady state (NESS).…

量子物理 · 物理学 2020-11-11 Jen-Tsung Hsiang , Bei-Lok Hu

The purpose of this work is to produce a family of equations describing the evolution of the temperature in a rigid heat conductor. This is obtained by means of successive approximations of the Fourier law, via memory relaxations and…

偏微分方程分析 · 数学 2022-07-05 Filippo Dell'Oro , Vittorino Pata

We address the problem of heat conduction in 1-D nonlinear chains; we show that, acting on the parameter which controls the strength of the on site potential inside a segment of the chain, we induce a transition from conducting to…

统计力学 · 物理学 2009-11-07 M. Terraneo , M. Peyrard , G. Casati

We prove a general inequality between the charge current and its fluctuations valid for any non-interacting coherent electronic conductor and for any stationary out-of-equilibrium condition, thereby going beyond established…

介观与纳米尺度物理 · 物理学 2024-07-15 Ludovico Tesser , Janine Splettstoesser

Heat fluctuations over a time \tau in a non-equilibrium stationary state and in a transient state are studied for a simple system with deterministic and stochastic components: a Brownian particle dragged through a fluid by a harmonic…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

We consider a chain of one-dimensional dipole moments connected to two thermal baths with different temperatures. The system is in nonequilibrium steady state and heat flows through it. Assuming that fluctuation of the dipole moment is a…

统计力学 · 物理学 2015-06-15 Anton V. Dolgikh , Daniel S. Kosov

We have analyzed the spectral density of fluctuations of the energy flux through a mesoscopic constriction between two equilibrium reservoirs. It is shown that at finite frequencies, the fluctuating energy flux is not related to the thermal…

介观与纳米尺度物理 · 物理学 2015-05-18 Dmitri V. Averin , Jukka P. Pekola

We have numerically studied heat conduction in a few one-dimensional momentum-conserving lattices with asymmetric interparticle interactions by the nonequilibrium heat bath method, the equilibrium Green-Kubo method, and the heat current…

统计力学 · 物理学 2013-11-13 Lei Wang , Bambi Hu , Baowen Li

We introduce a variant of the Banded Random Matrix ensemble and show, using detailed numerical analysis and theoretical arguments, that the phonon heat current in disordered quasi-one-dimensional lattices obeys a one-parameter scaling law.…

无序系统与神经网络 · 物理学 2013-02-07 Joshua D. Bodyfelt , Mei C. Zheng , Ragnar Fleischmann , Tsampikos Kottos

Heat fluctuations are studied in a dissipative system with both mechanical and stochastic components for a simple model: a Brownian particle dragged through water by a moving potential. An extended stationary state fluctuation theorem is…

统计力学 · 物理学 2007-05-23 R. van Zon , E. G. D. Cohen

Two aspects of conductive heat are focused here (i) the nature of conductive heat, defined as that form of energy that is transferred as a result of a temperature difference and (ii) the nature of the intermolecular potentials that induces…

综合物理 · 物理学 2016-08-08 Christopher Gunaseelan Jesudason

We study the transport of heat along a chain of particles interacting through a harmonic potential and subject to heat reservoirs at its ends. Each particle has two degrees of freedom and is subject to a stochastic noise that produces…

统计力学 · 物理学 2015-06-17 Gabriel T. Landi , Mario J. de Oliveira

We investigate the statistics of heat exchange between a finite system coupled to reservoir(s). We have obtained analytical results for heat fluctuation theorem in the transient regime considering the Hamiltonian dynamics of the composite…

统计力学 · 物理学 2017-04-19 P. S. Pal , Sourabh Lahiri , A. M. Jayannavar

We consider two types of strongly disordered one-dimensional Hamiltonian systems coupled to baths (energy or particle reservoirs) at the boundaries: strongly disordered quantum spin chains and disordered classical harmonic oscillators.…

统计力学 · 物理学 2017-04-26 Wojciech De Roeck , Abhishek Dhar , Francois Huveneers , Marius Schuetz