Calculus of Variations and Geometric Measure Theory

R. Alicandro - A. Braides - M. Cicalese

Phase and anti-phase boundaries in binary discrete systems: a variational viewpoint

created by braidesa on 12 Oct 2005
modified on 27 Dec 2006


Published Paper

Inserted: 12 oct 2005
Last Updated: 27 dec 2006

Journal: Networks and Heterogeneous Media
Volume: 1
Pages: 85-107
Year: 2006


We study nearest- and next-to-nearest neighhbour systems of binary lattice interactions via Gamma-convergence, showing the appearance of phase and anti-phase boundaries. We explicitly compute the Gamma-limit, whose form highlights anisotropies and entails sharp and `diffuse' discrete interfaces.

Keywords: Gamma-convergence, discrete systems, anti-phase boundaries, discrete-to-continuous limits, binary alloys, spin systems