On Entropy Production in Quantum Statistical Mechanics
Pillet, Claude-Alain ; Jaksic, Vojkan
HAL, hal-00005457 / Harvested from HAL
We propose a definition of entropy production in the framework of algebraic quantum statistical mechanics. We relate our definition to heat flows through the system. We also prove that entropy production is non-negative in natural non-equilibrium steady states.
Publié le : 2001-07-05
Classification:  C-star dynamical system,  quantum statistical mechanics,  nonequilibrium steady state,  Entropy production,  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [MATH.MATH-OA]Mathematics [math]/Operator Algebras [math.OA],  [MATH.MATH-DS]Mathematics [math]/Dynamical Systems [math.DS]
@article{hal-00005457,
     author = {Pillet, Claude-Alain and Jaksic, Vojkan},
     title = {On Entropy Production in Quantum Statistical Mechanics},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00005457}
}
Pillet, Claude-Alain; Jaksic, Vojkan. On Entropy Production in Quantum Statistical Mechanics. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00005457/