Entropy production and fluctuation relations for a KPZ interface

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.

21 pages, 5 figures

References in corpus (6)

• The large deviation approach to statistical mechanics
• Non equilibrium steady states: fluctuations and large deviations of the density and of the current
• Fluctuation theorems for stochastic dynamics
• Mapping out of equilibrium into equilibrium in one-dimensional transport models
• On the range of validity of the fluctuation theorem for stochastic Markovian dynamics
• Mean-field approximations for the restricted solid-on-solid growth models