Hydrodynamic Limit for the ∇φ Interface Model via Two-Scale Approach
We prove the hydrodynamic limit for the Ginzburg–Landau ∇φ interface model based on a two-scale approach recently introduced by Grunewald et al.6 under the assumptions of the strict convexity of the coarse-grained Hamiltonian and the logarithmic Sobolev inequality for canonical Gibbs measures. In particular, strictly convex potentials satisfy these assumptions.
KeywordsGibbs Measure Dirichlet Form Interface Model Variational Formula Directed Bond
The author thanks Jean-Dominique Deuschel who suggested the method employed in Sect. 4.2.2.
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