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Topics in nonequilibrium quantum statistical mechanics
Aschbacher W. et al
Dans Open Quantum Systems III, S. Attal, A. Joye, C.-A. Pillet (Ed.) (2006) 1-66 - http://hal.archives-ouvertes.fr/hal-00005352
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Walter Aschbacher1, Vojkan Jaksic2, Yan Pautrat3, Claude-Alain Pillet ()4
1 :  Zentrum Mathematik M5
Technische Universitaet Muenchen
85747 Garching
Allemagne
2 :  Department of Mathematics and Statistics [Mac Gill]
http://www.math.mcgill.ca/
Mac Gill University
The Department of Mathematics and Statistics Burnside Hall, Room 1005, 805 Sherbrooke Street West, Montreal, Quebec, Canada, H3A 2K6 Phone: 514-398-3800 Fax: 514-398-3899
Canada
3 :  LM-Orsay - Laboratoire de Mathématiques d'Orsay
http://www.math.u-psud.fr
CNRS : UMR8628 – Université Paris XI - Paris Sud
France
4 :  CPT - Centre de Physique Théorique
http://www.cpt.univ-mrs.fr
CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var
CNRS Luminy case 907 13288 Marseille cedex 9
France
Physique/Physique mathématique
Mathématiques/Physique mathématique
Topics in nonequilibrium quantum statistical mechanics
These notes are an expanded and revised version of the lectures given by the second and fourth autor in the summer school "Open Quantum System" held in Grenoble, June 16-July 4, 2003. They provide an introduction to recent developments in non-equilibrium statistical mechanics of open quantum systems, including a completely worked out (simple) example. We discuss non-equilibrium steady states (NESS) and their structural properties, entropy production, linear response theory and weak coupling limit. The emphasis is on Ruelle's scattering approach to the construction of NESS.
Anglais

10.1007/b128453
Open Quantum Systems III
Springer
18/08/2006
1-66
S. Attal, A. Joye, C.-A. Pillet
Lecture Notes in Mathematics 1882

nonequilibrium statistical mechanics – NESS – steady-state – entropy production – Kubo formula – Onsager reciprocity relations – free Fermi gas – linear response theory
05.30 05.70