We consider nearest-neighbour ferromagnetic energies defined on a quasicrystal modeled following the so-called cut-and-project approach as a portion of a regular lattice contained in a possibly irrational stripe defined as a neighborhood of a k-dimensional subspace in an n-dimensional space. The overall properties of this system are described by an effective surface energy on a k-dimensional space obtained as Gamma-limit of the scaled discrete energies.
Braides, A., Causin, A., Solci, M. (2012). Interfacial energies on quasicrystals. IMA JOURNAL OF APPLIED MATHEMATICS, 77(6), 816-836 [10.1093/imamat/hxs046].
Interfacial energies on quasicrystals
BRAIDES, ANDREA;
2012-01-01
Abstract
We consider nearest-neighbour ferromagnetic energies defined on a quasicrystal modeled following the so-called cut-and-project approach as a portion of a regular lattice contained in a possibly irrational stripe defined as a neighborhood of a k-dimensional subspace in an n-dimensional space. The overall properties of this system are described by an effective surface energy on a k-dimensional space obtained as Gamma-limit of the scaled discrete energies.File in questo prodotto:
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