Calculus of Variations and Geometric Measure Theory

A. Braides - M. Cicalese

Interfaces, modulated phases and textures in lattice systems

created by cicalese on 07 May 2015
modified by braidesa on 07 Jan 2017


Published Paper

Inserted: 7 may 2015
Last Updated: 7 jan 2017

Journal: Arch. Ration. Mech. Anal.
Volume: 223
Pages: 977-1017
Year: 2017
Doi: 10.1007/s00205-016-1050-7


We introduce a class of $n$-dimensional (possibly inhomogeneous) spin-like lattice systems presenting modulated phases with possibly different textures. Such systems can be parameterized according to the number of ground states, and can be described by a phase-transition energy which we compute by means of variational techniques. Degeneracies due to frustration are also discussed.