Entropy production for coarse-grained dynamics
Abstract
Systems out of equilibrium exhibit a net production of entropy. We study the dynamics of a stochastic system represented by a Master Equation that can be modeled by a Fokker-Planck equation in a coarse-grained, mesoscopic description. We show that the corresponding coarse-grained entropy production contains information on microscopic currents that are not captured by the Fokker-Planck equation and thus cannot be deduced from it. We study a discrete-state and a continuous-state system, deriving in both the cases an analytical expression for the coarse-graining corrections to the entropy production. This result elucidates the limits in which there is no loss of information in passing from a Master Equation to a Fokker-Planck equation describing the same system. Our results are amenable of experimental verification, which could help to infer some information about the underlying microscopic processes.
Cite
@article{arxiv.1810.01833,
title = {Entropy production for coarse-grained dynamics},
author = {Daniel M. Busiello and Jorge Hidalgo and Amos Maritan},
journal= {arXiv preprint arXiv:1810.01833},
year = {2019}
}