Interface fluctuations in non equilibrium stationary states: the SOS approximation

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Date
2019
Dewey
Sciences connexes (physique, astrophysique)
Sujet
SOS models; interface fluctuations
Journal issue
Journal of Statistical Physics
Publication date
11-2019
Article pages
1-13
Publisher
Springer
DOI
http://dx.doi.org/10.1007/s10955-019-02450-w
URI
https://basepub.dauphine.fr/handle/123456789/20326
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Author
De Masi, Anna
245330 Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica [L'Aquila] [DISIM]
Merola, Immacolata
245330 Dipartimento di Ingegneria e Scienze dell'Informazione e Matematica [L'Aquila] [DISIM]
Olla, Stefano
60 CEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
Type
Article accepté pour publication ou publié
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.