Journal of Statistical Physics

, Volume 123, Issue 3, pp 547–569

Linear Response Theory for Thermally Driven Quantum Open Systems

Article

DOI: 10.1007/s10955-006-9075-1

Cite this article as:
Jakšić, V., Ogata, Y. & Pillet, C. J Stat Phys (2006) 123: 547. doi:10.1007/s10955-006-9075-1

Abstract

This note is a continuation of our recent paper [V. Jakšić Y. Ogata, and C.-A. Pillet, The Green-Kubo formula and Onsager reciprocity relations in quantum statistical mechanics. Commun. Math. Phys. in press.] where we have proven the Green-Kubo formula and the Onsager reciprocity relations for heat fluxes in thermally driven quantum open systems. In this note we extend the derivation of the Green-Kubo formula to heat and charge fluxes and discuss some other generalizations of the model and results of [V. Jakšić Y. Ogata and C.-A. Pillet, The Green-Kubo formula and Onsager reciprocity relations in quantum statistical mechanics. Commun. Math. Phys. in press.].

Keywords

nonequilibrium statistical mechanicssteady stateslinear rsponsekubo formulafluctuation-dissipationonsager reciprocity

Copyright information

© Springer Science+Business Media, Inc. 2006

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsMcGill UniversityMontrealCanada
  2. 2.CPT-CNRS UMR 6207Université du SudLa Garde CedexFrance
  3. 3.Department of Mathematical SciencesUniversity of TokyoTokyoJapan