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. 

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