Microreversibility, current fluctuations, and entropy production in nonequilibrium systems

Sep 8, 2017, 12:00 PM
oral Session 13


Pierre Gaspard (Universite Libre de Bruxelles (U.L.B.))


On the basis of microreversibility, fluctuation relations are established for the counting statistics of coupled currents flowing across classical or quantum systems sustaining nonequilibrium steady states. Thanks to these relations, the Green-Kubo formulae and the Casimir-Onsager reciprocity relations can be generalized from linear to nonlinear response properties. These advances provide a framework to formulate nonequilibrium thermodynamics in small systems. In this framework, the entropy production can be interpreted as the order parameter of time-reversal symmetry breaking at the statistical level of description. These results apply to hydrodynamic flows, driven Brownian motion, active particles, molecular motors, polymerizations, reactions, as well as to quantum transport in mesoscopic devices. $ $ [1] P. Gaspard, Multivariate fluctuation relations for currents, New J. Phys. **15** (2013) 115014. [2] P. Gaspard, Time-reversal symmetry relations for fluctuating currents in nonequilibrium systems, Acta Phys. Pol. B **44** (2013) 815. [3] P. Gaspard, Time-reversal symmetry relation for nonequilibrium flows ruled by the fluctuating Boltzmann equation, Physica A **392** (2013) 639. [4] D. Lacoste and P. Gaspard, Isometric fluctuation relations for equilibrium states with broken symmetry, Phys. Rev. Lett. **113** (2014) 240602. [5] P. Gaspard, Force-velocity relation for copolymerization processes, New J. Phys. **17** (2015) 045016.

Primary author

Pierre Gaspard (Universite Libre de Bruxelles (U.L.B.))

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