The geometry of mesoscopic phase transition interfaces

Matteo Novaga; Enrico Valdinoci

The geometry of mesoscopic phase transition interfaces

Research output: Contribution to journal › Article

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 language	English
Pages (from-to)	777-798
Number of pages	22
Journal	Discrete and Continuous Dynamical Systems
Volume	19
Issue number	4
Publication status	Published - 1 Dec 2007
Externally published	Yes

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title = "The geometry of mesoscopic phase transition interfaces",

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.",

keywords = "Density estimates, Ginzburg-Landau-Allen-Cahn equation, Plane-like solutions",

author = "Matteo Novaga and Enrico Valdinoci",

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AU - Valdinoci, Enrico

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AB - 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.

KW - Density estimates

KW - Ginzburg-Landau-Allen-Cahn equation

KW - Plane-like solutions

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JO - DISCRETE & CONTINUOUS DYNAMICAL SYSTEMS. SERIES A

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