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NONEQUILIBRIUM THERMODYNAMICS AND STOCHASTIC PROCESSES

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Relationships are established between nonequilibrium thermodynamics and stochastic processes, which contribute to our understanding of the time asymmetry which manifests itself in nonequilibrium systems and their fluctuations. These relationships show the important role played by the second law of thermodynamics even in small systems affected by fluctuations.

Selected publications

Time asymmetry in nonequilibrium fluctuations:

Entropy production and time asymmetry in nonequilibrium fluctuations,
D. Andrieux, P. Gaspard, S. Ciliberto, N. Garnier, S. Joubaud, and A. Petrosyan,
Phys. Rev. Lett. 98, 150601 (2007).

Thermodynamic time asymmetry in non-equilibrium fluctuations,
D. Andrieux, P. Gaspard, S. Ciliberto, N. Garnier, S. Joubaud, and A. Petrosyan,
J. Stat. Mech. P01002 (2008).

Nonequilibrium temporal ordering:

Temporal ordering of nonequilibrium fluctuations as a corollary of the second law of thermodynamics,
P. Gaspard, Comptes Rendus Physique 8, 598 (2007).

Fluctuation theorem for currents:

Fluctuation theorem for currents and Schnakenberg network theory,
D. Andrieux and P. Gaspard, J. Stat. Phys. 127, 107 (2007).

Nonequilibrium fluctuations, fluctuation theorems, and counting statistics in quantum systems,
M. Esposito, U. Harbola, and S. Mukamel, Rev. Mod. Phys. (2009).

Nonlinear response properties:

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

Universality of efficiency at maximum power,
M. Esposito, K. Lindenberg, and C. Van den Broeck, Phys. Rev. Lett. 102, 130602 (2009).