Calculus of Variations and Geometric Measure Theory

A. Braides - A. Causin - M. Solci

Interfacial energies on quasicrystals

created by braidesa on 02 Apr 2011
modified on 30 Aug 2012


Published Paper

Inserted: 2 apr 2011
Last Updated: 30 aug 2012

Journal: IMA J Appl Math
Year: 2011


There are several ways to mathematically define quasicrystalline patterns. We adopt the ``cut and project'' approach, where a quasicrystal consists of the projection of a `stripe' of a higher-dimensional periodic pattern. We consider ferromagnetic energies in this stripe and prove that they can be approximated by an interfacial energy in the limit as the lattice spacing goes to zero.

Keywords: Gamma-convergence, surface energies, quasicrystals