Entropy production from waiting-time distributions for overdamped Langevin dynamics

Ellen Meyberg; Julius Degünther; Udo Seifert

doi:10.1088/1751-8121/ad508a

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arXiv · 2402.18155

Entropy production from waiting-time distributions for overdamped Langevin dynamics

Ellen Meyberg·Julius Degünther·Udo Seifert

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Abstract

For a Markovian dynamics on discrete states, the logarithmic ratio of waiting-time distributions between two successive, instantaneous transitions in forward and backward direction is a measure of time-irreversibility. It thus serves as an entropy estimator, which is exact in the case of a uni-cyclic network. We adopt this framework to overdamped Langevin dynamics, where such transitions have finite duration. By introducing milestones based on the observation of a particle at at least three points, we identify an entropy estimator that becomes exact for driven motion along a one-dimensional potential.

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Ellen Meyberg, Julius Degünther, Udo Seifert. 2024-02-28. Entropy production from waiting-time distributions for overdamped Langevin dynamics. https://doi.org/10.1088/1751-8121/ad508a

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