English

Interface fluctuations in non equilibrium stationary states: the SOS approximation

Probability 2020-01-08 v1 Mathematical Physics math.MP

Abstract

We study the 2d2d 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 N1/4N^{1/4}, NN the size of the system. We also prove that the scaling limit is a stationary Ornstein-Uhlenbeck process.

Keywords

Cite

@article{arxiv.1908.02920,
  title  = {Interface fluctuations in non equilibrium stationary states: the SOS approximation},
  author = {Anna De Masi and Immacolata Merola and Stefano Olla},
  journal= {arXiv preprint arXiv:1908.02920},
  year   = {2020}
}
R2 v1 2026-06-23T10:42:39.761Z