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

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• Stochastic thermodynamics, fluctuation theorems, and molecular machines
• Universal bounds on current fluctuations
• A formal view on 2.5 large deviations and fluctuation relations
• Entropy production at criticality in a nonequilibrium Potts model
• Spectrum of the totally asymmetric simple exclusion process on a periodic lattice -- first excited states
• Entropy production of a bound nonequilibrium interface
• On the symmetry of current probability distributions in jump processes
• A Gallavotti-Cohen-Evans-Morriss like symmetry for a class of Markov jump processes
• Entropy production and large deviation function for systems with microscopically irreversible transitions
• Statistics of stochastic entropy for recorded transitions between ENSO states