# Interface Fluctuations in Non Equilibrium Stationary States: The SOS Approximation

Journal of Statistical Physics（2019）

Abstract

We study the 2 d stationary fluctuations of the interface in the SOS approximation of the non equilibrium stationary state found in De Masi et al. (J Stat Phys 175:203–221, 2019). We prove that the interface fluctuations are of order N^1/4 , N the size of the system. We also prove that the scaling limit is a stationary Ornstein–Uhlenbeck process.

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Key words

Non equilibrium stationary states,Interfaces,SOS model

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