Abstract
Heat transport coefficients are calculated for various random walks with internal states (the Markov partition of the Sinai billiard connects these walks with the Lorentz gas among a periodic configuration of scatterers). Models with reflecting or absorbing barriers and also those without or with local thermal equilibrium are investigated. The method is unified and is based on the Keldysh expansion of the resolvent of a matrix polynomial.
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Krámli, A., Simányi, N. & Szász, D. Heat conduction in caricature models of the Lorentz gas. J Stat Phys 46, 303–318 (1987). https://doi.org/10.1007/BF01010348
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DOI: https://doi.org/10.1007/BF01010348