The statistics of diffusive flux
Alba Margarita Resendiz Antonio, Hernan Larralde
TL;DR
This paper derives the probability distribution of diffusive flux in a simple system of independent random walkers, revealing features related to entropy production in both equilibrium and non-equilibrium states.
Contribution
It provides an explicit distribution function for flux in a discrete-time diffusive system, linking flux statistics to entropy production.
Findings
Distribution function characterizes flux in diffusive systems
Results apply to equilibrium and non-equilibrium steady states
Highlights relation between flux distribution and entropy production
Abstract
We calculate the explicit probability distribution function for the flux between sites in a simple discrete time diffusive system composed of independent random walkers. We highlight some of the features of the distribution and we discuss its relation to the local instantaneous entropy production in the system. Our results are applicable both to equilibrium and non-equilibrium steady states as well as for certain time dependent situations.
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