Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 123, Issue 1, Pages 223-236Publisher
SPRINGER
DOI: 10.1007/s10955-005-8019-5
Keywords
interfaces; random substrate; Wulff shape; SOS model
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In a probabilistic model of a film over a disordered substrate, Monte-Carlo simulations show that the film hangs from peaks of the substrate. The film profile is well approximated by a necklace of Wulff shapes. Such a necklace can be obtained as the infimum of a collection of Wulff shapes resting on the substrate. When the random substrate is given by iid heights with exponential distribution, we prove estimates on the probability density of the resulting peaks, at small density.
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