06-240 V. Jaksic, Y. Ogata, C.-A. Pillet
The Green-Kubo formula for the spin-fermion system (367K, pdf) Aug 31, 06
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Abstract. The spin-fermion model describes a two level quantum system S (spin 1/2) coupled to finitely many free Fermi gas reservoirs R_j which are in thermal equilibrium at inverse temperatures beta_j. We consider non-equilibrium initial conditions where not all beta_j are the same. It is known that, at small coupling, the combined system S + R_1 + ... has a unique non-equilibrium steady state (NESS) characterized by strictly positive entropy production. In this paper we study linear response in this NESS and prove the Green-Kubo formula and the Onsager reciprocity relations for heat fluxes generated by temperature differentials.

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