The Green-Kubo Formula and the Onsager Reciprocity Relations in Quantum Statistical Mechanics
@article{Jaksic2006TheGF, title={The Green-Kubo Formula and the Onsager Reciprocity Relations in Quantum Statistical Mechanics}, author={Vojkan Jaksic and Yoshiko Ogata and Claude-Alain Pillet}, journal={Communications in Mathematical Physics}, year={2006}, volume={265}, pages={721-738} }
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.
57 Citations
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