Abstract
We study the large scale space–time fluctuations of an interface which is modeled by a massless scalar field with reversible Langevin dynamics. For a strictly convex interaction potential we prove that on a large space–time scale these fluctuations are governed by an infinite-dimensional Ornstein –Uhlenbeck process. Its effective diffusion type covariance matrix is characterized through a variational formula.
Citation
Giambattista Giacomin. Stefano Olla. Herbert Spohn. "Equilibrium Fluctuations for $\nabla_{\varphi}$ Interface Model." Ann. Probab. 29 (3) 1138 - 1172, July 2001. https://doi.org/10.1214/aop/1015345600
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