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arXiv · 1908.02920

Interface fluctuations in non equilibrium stationary states: the SOS approximation

Anna De Masi·Immacolata Merola·Stefano Olla
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Abstract

We study the $2d$ stationary fluctuations of the interface in the SOS approximation of the non equilibrium stationary state found in \cite{DOP}. 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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Anna De Masi, Immacolata Merola, Stefano Olla. 2019-08-08. Interface fluctuations in non equilibrium stationary states: the SOS approximation. https://doi.org/10.1007/s10955-019-02450-w

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