Duality and exact correlations for a model of heat conduction

被引：69
|
作者：
Giardina, Cristian
Kurchan, Jorge
Redig, Frank
机构：
[1] Eindhoven Univ, Dept Math & Comp Sci, NL-5600 MB Eindhoven, Netherlands
[2] ESPCI, CNRS, F-75231 Paris, France
[3] Leiden Univ, Math Inst, NL-2333 CA Leiden, Netherlands
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2007年 / 48卷 / 03期
关键词：
D O I：
10.1063/1.2711373
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study a model of heat conduction with stochastic diffusion of energy. We obtain a dual particle process which describes the evolution of all the correlation functions. An exact expression for the covariance of the energy exhibits long-range correlations in the presence of a current. We discuss the formal connection of this model with the simple symmetric exclusion process.
引用
收藏
页数：15
相关论文
共 50 条
  • [1] EXACT SOLUTIONS OF THE NONLINEAR HEAT CONDUCTION MODEL
    Kazakov, A. L.
    Kuznetsov, P. A.
    BULLETIN OF THE SOUTH URAL STATE UNIVERSITY SERIES-MATHEMATICAL MODELLING PROGRAMMING & COMPUTER SOFTWARE, 2020, 13 (04): : 33 - 47
  • [2] NUMERICAL RESOLUTION OF AN EXACT HEAT CONDUCTION MODEL WITH A DELAY TERM
    Campo, Marco
    Fernandez, Jose R.
    Quintanilla, Ramon
    JOURNAL OF APPLIED ANALYSIS AND COMPUTATION, 2019, 9 (01): : 332 - 344
  • [3] On the stability of the exact solutions of the dual-phase lagging model of heat conduction
    Jose Ordonez-Miranda
    Juan Jose Alvarado-Gil
    Nanoscale Research Letters, 6
  • [4] An investigation on thermoelastic interactions under an exact heat conduction model with a delay term
    Kumar, Anil
    Mukhopadhyay, Santwana
    JOURNAL OF THERMAL STRESSES, 2016, 39 (08) : 1002 - 1016
  • [5] On the stability of the exact solutions of the dual-phase lagging model of heat conduction
    Ordonez-Miranda, Jose
    Jose Alvarado-Gil, Juan
    NANOSCALE RESEARCH LETTERS, 2011, 6
  • [6] New exact solutions of heat conduction in metals
    Saied, EA
    JOURNAL OF STATISTICAL PHYSICS, 1996, 82 (3-4) : 951 - 962
  • [7] AN EXACT SOLUTION FOR THERMAL ANALYSIS OF A CYLINDRICAL OBJECT USING A HYPERBOLIC HEAT CONDUCTION MODEL
    Saedodin, Seyfolah
    Barforoush, M. Sadegh Motaghedi
    HEAT TRANSFER RESEARCH, 2012, 43 (05) : 405 - 423
  • [8] EXACT INTEGRATION OF A NONLINEAR MODEL OF STEADY HEAT CONDUCTION/RADIATION IN A WIRE WITH INTERNAL POWER
    Scarpello, Giovanni M.
    Palestin, Arsen
    Ritelli, Daniele
    JOURNAL OF GEOMETRY AND SYMMETRY IN PHYSICS, 2005, 4 : 59 - 67
  • [9] A Model of Heat Conduction
    P. Collet
    J. -P. Eckmann
    Communications in Mathematical Physics, 2009, 287 : 1015 - 1038
  • [10] A Model of Heat Conduction
    Collet, P.
    Eckmann, J. -P.
    COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2009, 287 (03) : 1015 - 1038
12345