Dresden 2017 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 2: Stochastic thermodynamics and information processing
DY 2.7: Vortrag
Montag, 20. März 2017, 11:30–11:45, HÜL 186
Universality of Infima and Stopping Time Statistics of Entropy Production in Steady States — •Izaak Neri1,2, Édgar Roldán1, Simone Pigolotti1, and Frank Jülicher1 — 1Max Planck Institute for the Physics of Complex Systems, Dresden, Germany — 2Max Planck Institute of Molecular Cell Biology and Genetics, Dresden, Germany
We show that the statistics of infima, stopping times and passage probabilities of entropy production in nonequilibrium steady states are universal. Our main results are: (i) the distribution of the global infimum of entropy production is exponential with mean equal to minus Boltzmann's constant; (ii) we find the exact expressions for the passage probabilities of entropy production to reach a given value; (iii) we derive a fluctuation theorem for stopping-time distributions of entropy production. Our work reveals the importance of martingales to nonequilibrium thermodynamics, since all our results follow from the martingality of entropy production.