Entropy production and fluctuation relations for a KPZ interface

Details Entropy production and fluctuation relations for a KPZ interface Entropy production and fluctuation relations for a KPZ interface

2010-08-20

arxiv.org/abs/1008.3463v1

J. Stat. Mech. (2010) P10008

Physics

Condensed Matter

Statistical Mechanics

21 pages, 5 figures

Scientific paper

10.1088/1742-5468/2010/10/P10008

We study entropy production and fluctuation relations in the restricted solid-on-solid growth model, which is a microscopic realization of the KPZ equation. Solving the one dimensional model exactly on a particular line of the phase diagram we demonstrate that entropy production quantifies the distance from equilibrium. Moreover, as an example of a physically relevant current different from the entropy, we study the symmetry of the large deviation function associated with the interface height. In a special case of a system of length L=4 we find that the probability distribution of the variation of height has a symmetric large deviation function, displaying a symmetry different from the Gallavotti-Cohen symmetry.

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