Transport properties of quasi-free Fermions

Walter H. Aschbacher (1) , Vojkan Jaksic (2) , Yan Pautrat (3) , Claude-Alain Pillet (4, 5, 6, 7)

1 Zentrum Mathematik M5
2 Department of Mathematics and Statistics [Montréal]
3 LM-Orsay - Laboratoire de Mathématiques d'Orsay
4 FRUMAM - Fédération de Recherche des Unités de MAthématiques de Marseille
5 CPT - E5 Physique statistique et systèmes complexes
6 CPT - Centre de Physique Théorique - UMR 6207
7 CPT - Centre de Physique Théorique - UMR 7332

Using the scattering approach to the construction of Non-Equilibrium Steady States proposed by Ruelle we study the transport properties of systems of independent electrons. We show that Landauer-Büttiker and Green-Kubo formulas hold under very general conditions.

Mots clés: linear response theory; free Fermi gas; NESS; steady-state; entropy production; Kubo formula; Onsager reciprocity relations; nonequilibrium statistical mechanics

Domaines: Physique mathématique [math-ph]

Walter H. Aschbacher, Vojkan Jaksic, Yan Pautrat, Claude-Alain Pillet. Transport properties of quasi-free Fermions. Journal of Mathematical Physics, 2007, 48, pp.032101-032128. ⟨10.1063/1.2709849⟩. ⟨hal-00109016⟩