The statistics of diffusive flux

Details The statistics of diffusive flux The statistics of diffusive flux

2005-11-18

arxiv.org/abs/cond-mat/0511450v1

J. Stat. Mech. (2005) P08012

Physics

Condensed Matter

Statistical Mechanics

12 pages, 1 figure

Scientific paper

10.1088/1742-5468/2005/08/P08012

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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