Surface tension, step free energy, and facets in the equilibrium crystal

DOI10.1007/BF02179386zbMath1106.82303OpenAlexW2093600781MaRDI QIDQ2500024

Salvador Miracle-Sole

Publication date: 23 August 2006

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

Full work available at URL: https://doi.org/10.1007/bf02179386

zbMATH Keywords

Surface tensionWulff constructionroughening transitioncrystal shapesstep free energy

Mathematics Subject Classification ID

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

Related Items (8)

A lattice model for the line tension of a sessile drop ⋮ Approximate domain Markov property for rigid Ising interfaces ⋮ Invariance principle for a Potts interface along a wall ⋮ Surface free energy of a finite system without interfaces at low temperatures ⋮ Limit shapes, real and imagined ⋮ 3D crystal: how flat its flat facets are? ⋮ On the statistical mechanics and surface tensions of binary mixtures ⋮ Examples of DLR states which are not weak limits of finite volume Gibbs measures with deterministic boundary conditions

Cites Work

• Unnamed Item
• Non-translation invariant Gibbs states with coexisting phases. I: Existence of sharp interface for Widom-Rowlinson type lattice models in three dimensions
• Interfaces in the Potts model. II: Antonov's rule and rigidity of the order disorder interface
• Convexity properties of the surface tension and equilibrium crystals
• Rigid interfaces for lattice models at low temperatures.
• Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model

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