FOURIER LAW AND THE GREEN-KUBO FORMULA IN A CELLULAR-AUTOMATON MODEL

被引:21
|
作者
TAKESUE, S [1 ]
机构
[1] KYOTO UNIV,FUNDAMENTAL PHYS RES INST,KYOTO 606,JAPAN
关键词
D O I
10.1103/PhysRevLett.64.252
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The properties of energy transport are numerically investigated with the use of a one-dimensional cellular-automaton model called 26R. The validity of Fouriers law and the Green-Kubo formula for thermal conductivity is demonstrated for this model in the limit of large systems. Nonlinear correction to Fouriers law and the recovery of left-right symmetry are also discussed. © 1990 The American Physical Society.
引用
收藏
页码:252 / 255
页数:4
相关论文
共 50 条
  • [1] A GREEN-KUBO FORMULA FOR THE SEDIMENTATION COEFFICIENTS
    RAINERI, FO
    TIMMERMANN, EO
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1989, 91 (06): : 3685 - 3688
  • [2] GREEN-KUBO FORMULA FOR COLLISIONAL RELAXATION
    VISSCHER, PB
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1988, 89 (08): : 5137 - 5139
  • [3] Asymptotic analysis of the Green-Kubo formula
    Pavliotis, G. A.
    [J]. IMA JOURNAL OF APPLIED MATHEMATICS, 2010, 75 (06) : 951 - 967
  • [4] Solution to the plateau problem in the Green-Kubo formula
    Espanol, Pep
    de la Torre, J. A.
    Duque-Zumajo, D.
    [J]. PHYSICAL REVIEW E, 2019, 99 (02)
  • [5] ON THE GREEN-KUBO FORMULA AND THE GRADIENT CONDITION ON CURRENTS
    Sasada, Makiko
    [J]. ANNALS OF APPLIED PROBABILITY, 2018, 28 (05): : 2727 - 2739
  • [6] Fick's law, Green-Kubo formula, and Heisenberg's equation of motion
    Lee, MH
    [J]. PHYSICAL REVIEW LETTERS, 2000, 85 (12) : 2422 - 2425
  • [7] LATTICE GAS HYDRODYNAMICS - GREEN-KUBO FORMULA
    FRISCH, U
    RIVET, JP
    [J]. COMPTES RENDUS DE L ACADEMIE DES SCIENCES SERIE II, 1986, 303 (12): : 1065 - 1068
  • [8] THE GREEN-KUBO FORMULA IN GAUGE-THEORIES
    YAMAGISHI, H
    [J]. PHYSICA A, 1989, 158 (01): : 251 - 260
  • [9] Green-Kubo Formula for Weakly Coupled Systems with Noise
    Bernardin, Cedric
    Huveneers, Francois
    Lebowitz, Joel L.
    Liverani, Carlangelo
    Olla, Stefano
    [J]. COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2015, 334 (03) : 1377 - 1412
  • [10] INTRINSIC-VISCOSITY FROM THE GREEN-KUBO FORMULA
    JAGANNATHAN, A
    OONO, Y
    SCHAUB, B
    [J]. JOURNAL OF CHEMICAL PHYSICS, 1987, 86 (04): : 2276 - 2285