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university of Provence - Aix-Marseille I |  |
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university of Provence - Aix-Marseille I | |
| HAL: hal-00005459, version 1 |
| DOI: 10.1023/A:1019818909696 |
| Detailed view |  Export this paper |
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| Journal of Statistical Physics 108 (2002) 787 - 829 |
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| Mathematical Theory of Non-Equilibrium Quantum Statistical Mechanics |
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| Claude-Alain Pillet 1Vojkan Jaksic 2 |
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| (2002) |
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| We review and further develop a mathematical framework for non-equilibrium quantum statistical mechanics recently proposed in refs. 1–7. In the algebraic formalism of quantum statistical mechanics we introduce notions of non-equilibrium steady states, entropy production and heat fluxes, and study their properties. Our basic paradigm is a model of a small (finite) quantum system coupled to several independent thermal reservoirs. We exhibit examples of such systems which have strictly positive entropy production. |
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| 1: | Centre de Physique Théorique (CPT) |
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CNRS : FR2291 – Université de Provence - Aix-Marseille I – Université de la Méditerranée - Aix-Marseille II – Université Sud Toulon Var |
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| 2: | Department of Mathematics and Statistics [Mac Gill] |
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Mac Gill University |
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| Subject | : | Physics/Condensed Matter/Statistical Mechanics Physics/Physics/General Physics Mathematics/Operator Algebras Mathematics/Dynamical Systems Mathematics/Spectral Theory |
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| Nonequilibrium quantum statistical mechanics – Liouvillean – open systems – entropy production – steady state – C*-algebra |
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| hal-00005459, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00005459 | |
| oai:hal.archives-ouvertes.fr:hal-00005459 | |
| From: Claude-Alain Pillet | |
| Submitted on: Sunday, 19 June 2005 16:39:22 | |
| Updated on: Sunday, 19 June 2005 16:39:22 | |
