- 99-433 Thierry Bodineau, Dima Ioffe and Yvan Velenik
- Rigorous Probabilistic Analysis of Equilibrium Crystal Shapes
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Nov 15, 99
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Abstract. The rigorous microscopic theory of equilibrium crystal shapes has made
enormous progress during the last decade. We review here the main
results which have been obtained, both in two and higher dimensions.
In particular, we describe how the phenomenological Wulff and
Winterbottom constructions can be derived from the microscopic
description provided by the equilibrium statistical mechanics of lattice
gases. We focus on the main conceptual issues and describe the central
ideas of the existing approaches.