Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model

DOI10.1007/s00526-006-0012-6zbMath1097.82005OpenAlexW2020573353MaRDI QIDQ2502326

Matteo Novaga, Giovanni Bellettini, Stephan Luckhaus, Maria Stella Gelli

Publication date: 12 September 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-006-0012-6

zbMATH Keywords

symmetry breakingdropletAllen-Cahn functional

Mathematics Subject Classification ID

Phase transitions (general) in equilibrium statistical mechanics (82B26) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20)

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Symmetry of constrained minimizers of the Cahn-Hilliard energy on the torus ⋮ Energy barrier and \(\Gamma\)-convergence in the \(d\)-dimensional Cahn-Hilliard equation

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