Linear response theory in quantum statistical mechanics

Vojkan Jaksic (1) , Yoshiko Ogata (2, 3, 4) , Claude-Alain Pillet (2, 4)

1 Department of Mathematics and Statistics [Montréal]
2 CPT - Centre de Physique Théorique - UMR 6207
3 Department of Mathematical Sciences
4 CPT - Centre de Physique Théorique - UMR 7332

This note is a continuation of a recent paper [1:ccsd-00005386] where we have proven the Green-Kubo formula and the Onsager reciprocity relations for heat fluxes. 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 [1].

Keywords: nonequilibrium statistical mechanics; steady state; NESS; Kubo formula; linear response; Onsager reciprocity relations

Domains: Mathematical Physics [math-ph]

Vojkan Jaksic, Yoshiko Ogata, Claude-Alain Pillet. Linear response theory in quantum statistical mechanics. 2005. ⟨hal-00009009v1⟩