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arXiv · 1910.13471

Stochastic entropy production in diffusive systems

Richard J Martin·Ian J Ford
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Abstract

Computing the stochastic entropy production associated with the evolution of a stochastic dynamical system is a well-established problem. In a small number of cases such as the Ornstein-Uhlenbeck process, of which we give a complete exposition, the distribution of entropy production can be obtained analytically, but in general it is much harder. A recent development in solving the Fokker-Planck equation, in which the solution is written as a product of positive functions, enables the distribution to be obtained approximately, with the assistance of simple numerical techniques. Using examples in one and higher dimension, we demonstrate how such a framework is very convenient for the computation of stochastic entropy production in diffusion processes.

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Richard J Martin, Ian J Ford. 2019-10-29. Stochastic entropy production in diffusive systems. https://doi.org/10.1088/1751-8121%2Fab78d0

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