New results on relative entropy production, time reversal, and optimal control of time-inhomogeneous nonequilibrium diffusion processes

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  • This paper studies time-inhomogeneous nonequilibrium diffusion processes, including both Brownian dynamics and Langevin dynamics. We derive upper bounds of the relative entropy production of the time-inhomogeneous process with respect to the transient invariant probability measures. We also study the time reversal of the reverse process in Crooks' fluctuation theorem. We show that the time reversal of the reverse process coincides with the optimally controlled forward process that leads to zero variance importance sampling estimator based on Jarzynski's equality.

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Metadaten
Author:Wei Zhang
Document Type:Article
Year of first publication:2020
ArXiv Id:http://arxiv.org/abs/2006.11212