A microscopic justification of the Wulff construction

DOI10.1007/BF01048037zbMath1096.82501OpenAlexW2042672886MaRDI QIDQ2499843

Senya B. Shlosman, Roman Kotecký, Roland Lvovich Dobrushin

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/bf01048037

zbMATH Keywords

Ising modelequilibrium crystal shapesconstruction

Mathematics Subject Classification ID

Classical equilibrium statistical mechanics (general) (82B05) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Cites Work

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• The Wulff construction and asymptotics of the finite cluster distribution for two-dimensional Bernoulli percolation
• On the microscopic validity of the Wulff construction and of the generalized Young equation
• Gibbs measures and phase transitions
• The central limit theorem and the problem of equivalence of ensembles
• Conditional equilibrium and the equivalence of microcanonical and grandcanonical ensembles in the thermodynamic limit
• Canonical Gibbs measures. Some extensions of de Finetti's representation theorem for interacting particle systems
• Rigid interfaces for lattice models at low temperatures.
• Equilibrium states on thin energy shells
• Gibbs State Describing Coexistence of Phases for a Three-Dimensional Ising Model
• Some Theorems on the Free Energies of Crystal Surfaces