We study entropy production and fluctuation relations in the restricted solid-on-solid growth model, which is a microscopic realization of the Kardar-Parisi-Zhang (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. © 2010 IOP Publishing Ltd and SISSA.
CITATION STYLE
Barato, A. C., Chetrite, R., Hinrichsen, H., & Mukamel, D. (2010). Entropy production and fluctuation relations for a KPZ interface. Journal of Statistical Mechanics: Theory and Experiment, 2010(10). https://doi.org/10.1088/1742-5468/2010/10/P10008
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