Interface fluctuations in non equilibrium stationary states: the SOS approximation

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.

References in corpus (3)

• Macroscopic fluctuation theory
• An invariance principle to Ferrari-Spohn diffusions
• A note on Fick's law with phase transitions

Cited by in corpus (2)

• Critical prewetting in the 2d Ising model
• Reservoirs, Fick law and the Darken effect