Hamiltonian model of heat conductivity and Fourier law

被引:7
|
作者
Gruber, C [1 ]
Lesne, A
机构
[1] Ecole Polytech Fed Lausanne, Inst Theorie Phenomenes Phys, CH-1015 Lausanne, Switzerland
[2] Univ Paris 06, Phys Theor Liquides Lab, F-75252 Paris, France
关键词
Fourier law; heat conductivity; nonequilibrium states; thermodynamics of irreversible processes; entropy production;
D O I
10.1016/j.physa.2004.12.022
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We investigate the stationary nonequilibrium states of a quasi one-dimensional system of heavy particles whose interaction is mediated by purely elastic collisions with light particles, in contact at the boundary with two heat baths with fixed temperatures T+ and T-. It is shown that Fourier law is satisfied with a thermal conductivity proportional to root T(x) where T(x) is the local temperature. Entropy flux and entropy production are also investigated. (c) 2005 Elsevier B.V. All rights reserved.
引用
收藏
页码:358 / 372
页数:15
相关论文
共 50 条
  • [21] Heat conduction in one dimensional systems: Fourier law, chaos, and heat control
    Casati, G
    Li, BW
    NON-LINEAR DYNAMICS AND FUNDAMENTAL INTERACTIONS, 2006, 213 : 1 - +
  • [22] Fourier's Law in a Generalized Piston Model
    Caprini, Lorenzo
    Cerino, Luca
    Sarracino, Alessandro
    Vulpiani, Angelo
    ENTROPY, 2017, 19 (07):
  • [23] A scaling law for heat conductivity in sheared granular materials
    Rognon, P.
    Einav, I.
    Bonivin, J.
    Miller, T.
    EPL, 2010, 89 (05)
  • [24] Comment on "Simple one-dimensional model of heat conduction which obeys Fourier's law"
    Li, HB
    Wang, YH
    Zhao, H
    PHYSICAL REVIEW LETTERS, 2002, 89 (07)
  • [25] Comment on "simple one-dimensional model of heat conduction which obeys Fourier's law"
    Dhar, A
    PHYSICAL REVIEW LETTERS, 2002, 88 (24) : 1 - 249402
  • [26] OPTICAL CONDUCTIVITY BY SIMPLE NON-ADIABATIC MODEL HAMILTONIAN
    KASPAR, F
    ZEITSCHRIFT FUR PHYSIK B-CONDENSED MATTER, 1985, 61 (03): : 243 - 250
  • [27] CONTROLLABLE STATES OF ELASTIC HEAT CONDUCTORS OBEYING A FOURIER LAW
    CHEN, DD
    PETROSKI, HJ
    INTERNATIONAL JOURNAL OF ENGINEERING SCIENCE, 1975, 13 (9-10) : 799 - 814
  • [28] Transient criterion of non-Fourier heat conduction law
    Yu, Ning
    Pan, Jiansheng
    Gu, Jianfeng
    Hu, Mingjuan
    Jiguang Jishu/Laser Technology, 2002, 26 (02):
  • [29] A method for measuring heat conductivity based on an integral form of the fourier equation
    Azima, YI
    INDUSTRIAL LABORATORY, 2000, 66 (06): : 375 - 380
  • [30] Discussion on the transient of non-Fourier heat conduction law and laser heat treatment
    Yu, N.
    Hu, M.J.
    Pan, J.S.
    Gu, J.F.
    2001, Editorial Office of Transactions of Materials and Heat Treatment (22):