J. Phys. III France
Volume 3, Numéro 12, December 1993
Page(s) 2261 - 2269
DOI: 10.1051/jp3:1993273
J. Phys. III France 3 (1993) 2261-2269

Two-temperature discrete model for nonlocal heat conduction

S.L. Sobolev

Institute of Chemical Physics Academy of Sciences of Russia, 142432 Chernogolovka, Moscow Region, Russia

(Received 12 January 1993, revised 2 August 1993, accepted 23 September 1993)

The two-temperature discrete model for heat conduction in heterogeneous media is proposed. It is shown that the discrete model contains as limiting cases both hyperbolic and parabolic heat conduction equations for propagative and diffusive regimes, respectively. To obtain these limiting cases two different laws of continuum limit have been introduced. The evolution of the two-temperature system comprises three stages with distinct time scales: fast relaxation of each subsystem to local equilibrium, energy exchange between the subsystems and classical hydrodynamics.

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