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Mathematical Theory of Non-Equilibrium Quantum Statistical Mechanics
Pillet, Claude-Alain ; Jaksic, Vojkan
HAL, hal-00005459 / Harvested from HAL
Text on HAL
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.
Publié le : 2002-07-05
Classification:  entropy production,  open systems,  Liouvillean,  Nonequilibrium quantum statistical mechanics,  steady state,  C*-algebra,  [PHYS.COND.CM-SM]Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech],  [PHYS.PHYS.PHYS-GEN-PH]Physics [physics]/Physics [physics]/General Physics [physics.gen-ph],  [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA],  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS],  [MATH.MATH-SP]Mathematics [math]/Spectral Theory [math.SP] 
@article{hal-00005459,
     author = {Pillet, Claude-Alain and Jaksic, Vojkan},
     title = {Mathematical Theory of Non-Equilibrium Quantum Statistical Mechanics},
     journal = {HAL},
     volume = {2002},
     number = {0},
     year = {2002},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00005459}
}

Pillet, Claude-Alain; Jaksic, Vojkan. Mathematical Theory of Non-Equilibrium Quantum Statistical Mechanics. HAL, Tome 2002 (2002) no. 0, . http://gdmltest.u-ga.fr/item/hal-00005459/