Hydrodynamic limit for the Ginzburg-Landau ∇φ interface model with non-convex potential
Authors: Jean-Dominique Deuschel, Takao Nishikawa, Yvon Vignaud
Abstract: Hydrodynamic limit for the Ginzburg-Landau ∇φ interface model was established in [Nishikawa, 2003] beneath the Dirichlet boundary conditions. This paper analysis the identical downside, nevertheless with non-convex potentials. Because of the dearth of strict convexity, a great deal of difficulties come up, significantly, on the identification of equilibrium states. We give a proof of the equivalence between the stationarity and the Gibbs property beneath pretty frequent settings, and as its conclusion, we full the identification of equilibrium states beneath the extreme temparature regime in [Deuschel and Cotar, 2008]. We moreover arrange some uniform estimates for variances of extremal Gibbs measures beneath pretty frequent settings. △
