The Green-Kubo Formula for the Spin-Fermion System期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

The Green-Kubo Formula for the Spin-Fermion System

Authors:	V. Jakšić Y. Ogata C. -A. Pillet

Affiliation:	(1) Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC, H3A 2K6, Canada;(2) CPT-CNRS, UMR 6207, Université du Sud, Toulon-Var, B.P. 20132, F-83957 La Garde Cedex, France;(3) Department of Mathematical Sciences, University of Tokyo, Komaba Tokyo, 153-8914, Japan

Abstract:	The spin-fermion model describes a two level quantum system (spin 1/2) coupled to finitely many free Fermi gas reservoirs $mathcal{R}_{j}$ which are in thermal equilibrium at inverse temperatures β _j. We consider non-equilibrium initial conditions where not all β _j are the same. It is known that, at small coupling, the combined system $mathcal {S} + sum_j mathcal {R}_j$ has a unique non-equilibrium steady state (NESS) characterized by strictly sitive 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. Dedicated to Jean Michel Combes on the occasion of his sixtyfifth birthday

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