Droplet minimizers for the Cahn-Hilliard free energy functional

DOI10.1007/BF02922115zbMath1102.82008arXivmath-ph/0505036OpenAlexW1984358669MaRDI QIDQ819254

Raffaele Esposito, Joel L. Lebowitz, Eric Anders Carlen, Maria Conception Carvalho, Rossana Marra

Publication date: 28 March 2006

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0505036

zbMATH Keywords

free energy functionalminimizationcritical droplet

Mathematics Subject Classification ID

Variational principles in infinite-dimensional spaces (58E30) Phase transitions (general) in equilibrium statistical mechanics (82B26) Variational principles of physics (49S05)

Related Items (5)

Symmetry of constrained minimizers of the Cahn-Hilliard energy on the torus ⋮ Ground state at high density ⋮ Energy barrier and \(\Gamma\)-convergence in the \(d\)-dimensional Cahn-Hilliard equation ⋮ Hard-sphere fluids with chemical self-potentials ⋮ Deterministic equivalent for the Allen-Cahn energy of a scaling law in the Ising model

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• Free energy minimizers for a two-species model with segregation and liquid vapour transition
• On the cases of equality in Bobkov's inequality and Gaussian rearrangement

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