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Hamiltonian model of heat conductivity and Fourier law

Author

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  • Gruber, Christian
  • Lesne, Annick

Abstract

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 T(x) where T(x) is the local temperature. Entropy flux and entropy production are also investigated.

Suggested Citation

  • Gruber, Christian & Lesne, Annick, 2005. "Hamiltonian model of heat conductivity and Fourier law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 351(2), pages 358-372.
    • Handle: RePEc:eee:phsmap:v:351:y:2005:i:2:p:358-372
    DOI: 10.1016/j.physa.2004.12.022
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    References listed on IDEAS

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    1. Cohen, E.G.D. & Rondoni, L., 2002. "Particles, maps and irreversible thermodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 306(C), pages 117-128.
    2. Piasecki, J. & Gruber, Ch., 1999. "From the adiabatic piston to macroscopic motion induced by fluctuations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 265(3), pages 463-472.
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    Cited by:

    1. Lima, Henrique Santos & Tsallis, Constantino, 2023. "Ising chain: Thermal conductivity and first-principle validation of Fourier’s law," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 628(C).

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