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We show analytically that the heat conductivity of oscillator chains diverges with system size N as N^{1/3}, which is the same as for one-dimensional fluids. For long cylinders, we use the hydrodynamic equations for a crystal in one…

统计力学 · 物理学 2009-11-11 Trieu Mai , Onuttom Narayan

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 the heat transport properties of a chain of coupled quantum harmonic oscillators in contact at its ends with two heat reservoirs at distinct temperatures. Our approach is based on the use of an evolution equation for the density…

统计力学 · 物理学 2017-04-26 Mario J. de Oliveira

We present a fluctuation relation for heat dissipation in a nonequilibrium system. A nonequilibrium work is known to obey the fluctuation theorem in any time interval $t$. A heat, which differs from a work by an energy change, is shown to…

统计力学 · 物理学 2012-06-19 Jae Dong Noh , Jong-Min Park

We discuss the problem of heat conduction in quantum spin chain models. To investigate this problem it is necessary to consider the finite open system connected to heat baths. We describe two different procedures to couple the system with…

统计力学 · 物理学 2008-07-15 Carlos Mejia-Monasterio , Hannu Wichterich

For driven open systems in contact with multiple heat reservoirs, we find the marginal distributions of work or heat do not satisfy any fluctuation theorem, but only the joint distribution of work and heat satisfies a family of fluctuation…

统计力学 · 物理学 2023-03-08 Jin-Fu Chen , H. T. Quan

The explicit thermodynamic functions, in particular, the specific heat of a spin system interacting with a spin bath which exerts finite dissipation on the system are determined. We show that the specific heat is a sum of the products of a…

量子物理 · 物理学 2013-04-29 Sudarson Sekhar Sinha , Arnab Ghosh , Deb Shankar Ray

The fluctuations of the heat current in a quantum dot coupled to electron reservoirs are calculated at finite frequency, voltage and temperature using the nonequilibrium Green function technique. The non-symmetrized heat noise is expressed…

介观与纳米尺度物理 · 物理学 2021-02-03 A. Crépieux

We present a new analytic expression for the heat current through a general harmonic network coupled with Ohmic reservoirs. We use a new method that enables us to express the stationary state of the network in terms of the eigenvectors and…

量子物理 · 物理学 2015-06-22 Nahuel Freitas , Juan Pablo Paz

We study anomalous transport in a one-dimensional system with two conserved quantities in presence of thermal baths. In this system we derive exact expressions of the temperature profile and the two point correlations in steady state as…

统计力学 · 物理学 2018-10-10 Priyanka , Aritra Kundu , Abhishek Dhar , Anupam Kundu

Thermal rectification which is a diode-like behavior of heat flux has been studied over a long time. However, a universal and systematic physical description is still lacking. In this letter, a perturbation theory of thermal rectification…

介观与纳米尺度物理 · 物理学 2020-10-14 Chuang Zhang , Meng An , Zhaoli Guo , Songze Chen

In the context of the dynamical evolution in a non-stationary thermal bath, we construct a family of fluctuation relations for the entropy production that are not verified by the work performed on the system. We exhibit fluctuation…

统计力学 · 物理学 2013-05-29 Raphael Chetrite

We study heat transport in a nonequilibrium steady state of a quantum interacting spin chain. We provide clear numerical evidence of the validity of Fourier law. The regime of normal conductivity is shown to set in at the transition to…

统计力学 · 物理学 2007-05-23 Carlos Mejia-Monasterio , Tomaz Prosen , Giulio Casati

We study a symmetry broken harmonic oscillator in contact with a heat bath characterized by a fixed temperature. The overdampped system is solved exactly to show symmetry broken directed transport raising the question whether…

统计力学 · 物理学 2010-07-02 Arijit Bhattacharyay

Thermal conductance of a homogeneous 1D nonlinear lattice system with neareast neighbor interactions has recently been computationally studied in detail by Li et al [Eur. Phys. J. B {\bf 88}, 182 (2015)], where its power-law dependence on…

统计力学 · 物理学 2017-06-07 Yunyun Li , Nianbei Li , Ugur Tirnakli , Baowen Li , Constantino Tsallis

The Fourier law of heat conduction describes heat diffusion in macroscopic systems. This physical law has been experimentally tested for a large class of physical systems. A natural question is to know whether it can be derived from the…

偏微分方程分析 · 数学 2019-12-10 Thierry Bodineau , Isabelle Gallagher , Laure Saint-Raymond

We present an exact solution of the Langevin's equation in the steady state limit in a three dimensional, harmonic crystal of slab geometry whose boundary surfaces along its length are connected to two stochastic, white noise heat baths at…

统计力学 · 物理学 2011-06-24 Shiladitya Acharya , Krishnendu Mukherjee

Nonlinear heat transfer can be exploited to reveal novel transport phenomena and thus enhance peo-ple's ability to manipulate heat flux at will. However, there hasn't been a mature discipline called nonlinear thermotics like its counterpart…

应用物理 · 物理学 2022-10-04 Gaole Dai

In this work, we have studied simple models that can be solved analytically to illustrate various fluctuation theorems. These fluctuation theorems provide symmetries individually to the distributions of physical quantities like the…

统计力学 · 物理学 2015-05-20 Mamata Sahoo , Sourabh Lahiri , A. M. Jayannavar

We point out that the low temperature saturation of the electron phase decoherence time in a disordered conductor can be explained within the existing theory of weak localization provided the effect of quantum (high frequency) fluctuations…

凝聚态物理 · 物理学 2009-10-30 Dmitrii S. Golubev , Andrei D. Zaikin