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Interface fluctuations in non equilibrium stationary states: the SOS approximation

De Masi, Anna; Merola, Immacolata; Olla, Stefano (2019), Interface fluctuations in non equilibrium stationary states: the SOS approximation, Journal of Statistical Physics, p. 1-13. 10.1007/s10955-019-02450-w

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Type
Article accepté pour publication ou publié
Date
2019
Journal name
Journal of Statistical Physics
Publisher
Springer
Pages
1-13
Publication identifier
Metadata
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Author(s)
De Masi, Anna

Merola, Immacolata

Olla, Stefano cc
CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Abstract (EN)
We study the 2d 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 N1/4 , N the size of the system. We also prove that the scaling limit is a stationary Ornstein–Uhlenbeck process.
Subjects / Keywords
SOS models; interface fluctuations