INTERFACIAL ENERGIES ON PENROSE LATTICES.
- Resource Type
- Article
- Authors
- BRAIDES, ANDREA; SOLCI, MARGHERITA; Dal Maso, G.
- Source
- Mathematical Models & Methods in Applied Sciences. May2011, Vol. 21 Issue 5, p1193-1210. 18p.
- Subject
- *INTERFACES (Physical sciences)
*SURFACE energy
*LATTICE theory
*ASYMPTOTIC homogenization
*TILING (Mathematics)
*MATHEMATICAL proofs
*MATHEMATICAL continuum
- Language
- ISSN
- 0218-2025
In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-periodic Penrose tiling in ℝ2. A general result on the homogenization of surface energies cannot be directly adapted to this case; the existence of the limit interfacial energy is therefore proved by showing some refined "quasi-periodic" properties of the tilings. [ABSTRACT FROM AUTHOR]