In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-periodic Penrose tiling in two dimensions. 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.
Braides, A., Solci, M. (2011). Interfacial energies on Penrose lattices. MATHEMATICAL MODELS AND METHODS IN APPLIED SCIENCES, 21, 1193 [10.1142/S0218202511005295].
Interfacial energies on Penrose lattices
BRAIDES, ANDREA;
2011-01-01
Abstract
In this paper we prove a homogenization theorem for interfacial discrete energies defined on an a-periodic Penrose tiling in two dimensions. 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.File in questo prodotto:
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