# Fluctuations for the Ginzburg-Landau $${\nabla \phi}$$ Interface Model on a Bounded Domain

@article{Miller2011FluctuationsFT,
title={Fluctuations for the Ginzburg-Landau \$\$\{\nabla \phi\}\$\$ Interface Model on a Bounded Domain},
author={Jason Miller},
journal={Communications in Mathematical Physics},
year={2011},
volume={308},
pages={591-639}
}
• Jason Miller
• Published 2011
• Mathematics, Physics
• Communications in Mathematical Physics
• We study the massless field on $${D_n = D \cap \tfrac{1}{n} \mathbf{Z}^2}$$, where $${D \subseteq \mathbf{R}^2}$$ is a bounded domain with smooth boundary, with Hamiltonian $${\mathcal {H}(h) = \sum_{x \sim y} \mathcal {V}(h(x) - h(y))}$$. The interaction $${\mathcal {V}}$$ is assumed to be symmetric and uniformly convex. This is a general model for a (2 + 1)-dimensional effective interface where h represents the height. We take our boundary conditions to be a continuous perturbation of a… CONTINUE READING

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