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DY: Fachverband Dynamik und Statistische Physik

DY 11: Focus Session: Thermodynamics and Statistical Physics of Small Systems

DY 11.6: Invited Talk

Tuesday, March 15, 2011, 12:45–13:15, HÜL 186

Time-reversal symmetry relations: From the multibaker map to open quantum systems — •Pierre Gaspard — Université Libre de Bruxelles, Brussels, Belgium

On the basis of microreversibility, symmetry relations have been established for the counting statistics of different currents flowing through classical, stochastic, or quantum systems sustaining nonequilibrium steady states in the absence or presence of an external magnetic field. Recently, it has been shown that these relations have consequences on the nonlinear-response properties of the system, extending linear-response Onsager reciprocity relations. These results apply to nonequilibrium processes such as chemical reactions, molecular motors, or electron transport in quantum dots.

References:

- S. Tasaki and P. Gaspard, Fick’s Law and Fractality of Nonequilibrium Stationary States in a Reversible Multibaker Map, J. Stat. Phys. 81 (1995) 935.

- P. Gaspard, Fluctuation theorem for nonequilibrium reactions, J. Chem. Phys. 120 (2004) 8898.

- D. Andrieux and P. Gaspard, Fluctuation theorem and Onsager reciprocity relations, J. Chem. Phys. 121 (2004) 6167.

- D. Andrieux and P. Gaspard, A fluctuation theorem for currents and non-linear response coefficients, J. Stat. Mech. (2007) P02006.

- D. Andrieux, P. Gaspard, T. Monnai, and S. Tasaki, The fluctuation theorem for currents in open quantum systems, New J. Phys. 11 (2009) 043014.