Testing the irreversibility of a Gibbsian process via hitting and return times

Details Testing the irreversibility of a Gibbsian process via hitting and return times Testing the irreversibility of a Gibbsian process via hitting and return times

2005-03-30

arxiv.org/abs/math-ph/0503071v2

Physics

Mathematical Physics

16 pages; Corrected version; To appear in Nonlinearity

Scientific paper

10.1088/0951-7715/18/6/004

We introduce estimators for the entropy production of a Gibbsian process
based on the observation of a single or two typical trajectories. These
estimators are built with adequate hitting and return times. We then study
their convergence and fluctuation properties. This provides statisticals test
for the irreversibility of Gibbsian processes.

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