The Green–Kubo Formula for Locally Interacting Fermionic Open Systems |
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| Authors: | Vojkan Jakšić Yoshiko Ogata Claude-Alain Pillet |
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| Affiliation: | (1) Department of Mathematics and Statistics, McGill University, 805 Sherbrooke Street West, Montreal, QC, H3A 2K6, Canada;(2) Department of Mathematics, University of California, Davis, Davis, CA 95616, USA;(3) Department of Mathematical Sciences, University of Tokyo, Komaba, Tokyo 153-8914, Japan;(4) FRUMAM CPT-CNRS, UMR 6207, Université du Sud, Toulon-Var, B.P. 20132, F-83957 La Garde Cedex, France |
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| Abstract: | We consider a model describing finitely many free Fermi gas reservoirs coupled by local interactions and prove the Green–Kubo formulas and the Onsager reciprocity relations for heat and charge fluxes generated by temperature and chemical potential differentials. Submitted: September 2, 2006. Accepted: November 21, 2006. |
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