Abstract
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.
Original language | English |
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Pages (from-to) | 463-490 |
Number of pages | 28 |
Journal | Springer Proceedings in Mathematics |
Volume | 11 |
DOIs | |
Publication status | Published - 2012 |
Externally published | Yes |
ASJC Scopus subject areas
- Mathematics(all)
- Statistics, Probability and Uncertainty