Interface fluctuations in non equilibrium stationary states: the SOS approximation
| Autor: | De Masi, Anna, Merola, Immacolata, Olla, Stefano |
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| Rok vydání: | 2019 |
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| Druh dokumentu: | Working Paper |
| DOI: | 10.1007/s10955-019-02450-w |
| Popis: | 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. |
| Databáze: | arXiv |
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