- 03-385 T. Bodineau and D. Ioffe
- Stability of interfaces and stochastic dynamics in the regime of partial wetting.
Aug 26, 03
(auto. generated ps),
of related papers
Abstract. The goal of this paper is twofold. First, assuming strict convexity
of the surface tension, we derive a stability property with respect
to the Hausdorff distance of a coarse grained representation of the
interface between the two pure phases of the Ising model.
This improves the $\bbL^1$ description of phase segregation. Using this
result and an additional assumption on mixing properties of the
underlying FK measures, we are then able to extend to higher dimensions previous results by Martinelli on the
spectral gap of the two-dimensional Glauber dynamics. Our assumptions
can be easily verified for low enough temperatures and, presumably,
hold true in the whole of the phase coexistence region.