05-215 V. Jaksic, Y. Ogata, C.-A. Pillet

The Green-Kubo formula and the Onsager reciprocity relations in quantum statistical mechanics (205K, pdf) Jun 15, 05

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Abstract. We study linear response theory in the general framework of algebraic quantum statistical mechanics and prove the Green-Kubo formula and the Onsager reciprocity relations for heat fluxes generated by temperature differentials. Our derivation is axiomatic and the key assumptions concern ergodic properties of non-equilibrium steady states.

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