The geometry of mesoscopic phase transition interfaces

Matteo Novaga, Enrico Valdinoci

Research output: Contribution to journalArticle

9 Citations (Scopus)

Abstract

We consider a mesoscopic model of phase transitions and investigate the geometric properties of the interfaces of the associated minimal solutions. We provide density estimates for level sets and, in the periodic setting, we construct minimal interfaces at a universal distance from any given hyperplane.

Original languageEnglish
Pages (from-to)777-798
Number of pages22
JournalDiscrete and Continuous Dynamical Systems
Volume19
Issue number4
Publication statusPublished - 1 Dec 2007
Externally publishedYes

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Phase Transition
Phase transitions
Density Estimates
Minimal Solution
Geometry
Level Set
Hyperplane
Model

Cite this

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The geometry of mesoscopic phase transition interfaces. / Novaga, Matteo; Valdinoci, Enrico.

In: Discrete and Continuous Dynamical Systems, Vol. 19, No. 4, 01.12.2007, p. 777-798.

Research output: Contribution to journalArticle

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AU - Novaga, Matteo

AU - Valdinoci, Enrico

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KW - Ginzburg-Landau-Allen-Cahn equation

KW - Plane-like solutions

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