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arXiv · 1008.3463

Entropy production and fluctuation relations for a KPZ interface

A C Barato·R Chetrite·H Hinrichsen·D Mukamel
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Abstract

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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A C Barato, R Chetrite, H Hinrichsen, D Mukamel. 2010-08-20. Entropy production and fluctuation relations for a KPZ interface. https://doi.org/10.1088/1742-5468%2F2010%2F10%2Fp10008

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