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.

Interface Fluctuations in Non Equilibrium Stationary States: The SOS Approximation

De Masi A.
;
Merola I.;
2020-01-01

Abstract

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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11697/140975
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