Equilibrium shapes of crystals attached to walls.

DOI10.1007/BF02188669zbMath1080.82580OpenAlexW1984870760MaRDI QIDQ1593157

Charles-Edouard Pfister, Roman Kotecký

Publication date: 16 January 2001

Published in: Journal of Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02188669

zbMATH Keywords

Winterbottom's constructionequilibrium crystal shapesWulff's construction

Mathematics Subject Classification ID

Statistical mechanics of crystals (82D25) Classical equilibrium statistical mechanics (general) (82B05) Interface problems; diffusion-limited aggregation arising in equilibrium statistical mechanics (82B24)

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Microscopical justification of solid-state wetting and dewetting, Intrinsic isoperimetry of the giant component of supercritical bond percolation in dimension two, Metastability in the dilute Ising model, Slow dynamics for the dilute Ising model in the phase coexistence region, Microscopical justification of the Winterbottom problem for well-separated lattices, Stable Equilibria of Anisotropic Particles on Substrates: A Generalized Winterbottom Construction, Rigorous probabilistic analysis of equilibrium crystal shapes, Rigorous probabilistic analysis of equilibrium crystal shapes, Convex Splitting Method for Strongly Anisotropic Solid-State Dewetting Problems in Two Dimensions

Cites Work

• Semi-infinite Ising model. II: The wetting and layering transitions.
• Wulff theorem and best constant in Sobolev inequality
• Convexity properties of the surface tension and equilibrium crystals
• The summertop construction: crystals in a corner.
• The Wulff theorem revisited
• Some Theorems on the Free Energies of Crystal Surfaces
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