Displacement convexity and minimal fronts at phase boundaries

DOI10.1007/S00205-008-0190-9zbMath1176.49048arXiv0706.0133OpenAlexW3099582447MaRDI QIDQ1041143

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

Publication date: 30 November 2009

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.0133

zbMATH Keywords

critical pointsdisplacement convexityfree energy functionals

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Phase transitions (general) in equilibrium statistical mechanics (82B26) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41) Variational principles of physics (49S05)

Related Items (3)

Stability of the front under a Vlasov-Fokker-Planck dynamics ⋮ Phase transition in a Vlasov-Boltzmann binary mixture ⋮ Dynamical Widom-Rowlinson model and its mesoscopic limit

Cites Work

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• Sharp interface motion of a binary fluid mixture
• A convexity principle for interacting gases
• A nonlocal anisotropic model for phase transitions
• Surface tension in Ising systems with Kac potentials.
• Displacement convexity for the generalized orthogonal ensemble
• Polar factorization and monotone rearrangement of vector‐valued functions
• Stability of the interface in a model of phase separation
• Free energy minimizers for a two-species model with segregation and liquid vapour transition

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