The Green-Kubo formula for locally interacting open fermionic systems

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

We consider a model describing finitely many free Fermi gas reservoirs coupled by local interactions and prove the Green-Kubo formulas and the Onsager reciprocity relations for heat and charge fluxes generated by temperature and chemical potential differentials.

Mots clés: nonequilibrium statistical mechanics; steady state; NESS; Kubo formula; linear response; Onsager reciprocity relations; spin-fermion; open systems; C*-scattering

Domaines: Physique mathématique [math-ph]

Vojkan Jaksic, Yoshiko Ogata, Claude-Alain Pillet. The Green-Kubo formula for locally interacting open fermionic systems. 2006. ⟨hal-00090544v1⟩