Time-reversal symmetry relations for currents in quantum and stochastic nonequilibrium systems

Details Time-reversal symmetry relations for currents in quantum and stochastic nonequilibrium systems Time-reversal symmetry relations for currents in quantum and stochastic nonequilibrium systems

2012-03-25

arxiv.org/abs/1203.5507v1

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

Chapter contributed to: R. Klages, W. Just, and C. Jarzynski (Eds.), Nonequilibrium Statistical Physics of Small Systems: Fluc

Scientific paper

An overview is given of recent advances in the nonequilibrium statistical mechanics of quantum systems and, especially, of time-reversal symmetry relations that have been discovered in this context. The systems considered are driven out of equilibrium by time-dependent forces or by coupling to large reservoirs of particles and energy. The symmetry relations are established for the exchange of energy and particles between the subsystem and its environment. These results have important consequences. In particular, generalizations of the Kubo formula and the Casimir-Onsager reciprocity relations can be deduced beyond linear response properties. Applications to electron quantum transport in mesoscopic semiconducting circuits are discussed.

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