INTERFACIAL ENERGIES ON PENROSE LATTICES-Reference-Cited by-同舟云学术

INTERFACIAL ENERGIES ON PENROSE LATTICES

Published:2011-05 Issue:05 Volume:21 Page:1193-1210
ISSN:0218-2025
Container-title:Mathematical Models and Methods in Applied Sciences
language:en
Short-container-title:Math. Models Methods Appl. Sci.

Author:

BRAIDES ANDREA¹,SOLCI MARGHERITA²

Affiliation:

1. Dipartimento di Matematica, Università di Roma Tor Vergata, via della Ricerca Scientifica 1, 00133 Roma, Italy

2. DAP, Università di Sassari, piazza Duomo 6, 07041 Alghero (SS), Italy

Abstract

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modelling and Simulation

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218202511005295

Reference13 articles.

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

2. Approximation of Free-Discontinuity Problems

3. Gamma-Convergence for Beginners

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