Regensburg 2016 – wissenschaftliches Programm
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DY: Fachverband Dynamik und Statistische Physik
DY 17: Statistical Physics far from Thermal Equilibrium
DY 17.6: Vortrag
Dienstag, 8. März 2016, 11:15–11:30, H48
Decision making in the arrow of time — •Édgar Roldán1,5, Izaak Neri1,2,5, Meik Dörpinghaus3,5, Heinrich Meyr3,4,5, and Frank Jülicher1,5 — 1Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany — 2Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauerstraße 108, 01307 Dresden, Germany — 3Vodafone Chair Mobile Communications Systems, Technische Universität Dresden, 01062 Dresden, Germany — 4Institute for Integrated Signal Processing Systems, RWTH Aachen University, 52056 Aachen, Germany. — 5Center for Advancing Electronics Dresden, cfaed, Germany.
We show that the steady state entropy production rate of a stochastic process is inversely proportional to the minimal time needed to decide on the direction of the arrow of time. Here we apply Wald's sequential probability ratio test to optimally decide on the direction of time's arrow in stationary Markov processes. Furthermore the steady state entropy production rate can be estimated using mean first-passage times of suitable physical variables. Our results are illustrated by numerical simulations of two simple examples of nonequilibrium processes.