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 Γ-limit of the scaled discrete energies. © 2012 The authors.
Interfacial energies on quasicrystals / Braides, A.; Causin, A.; Solci, M.. - In: IMA JOURNAL OF APPLIED MATHEMATICS. - ISSN 0272-4960. - 77:6(2012), pp. 816-836. [10.1093/imamat/hxs046]
Interfacial energies on quasicrystals
Braides A.;
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 Γ-limit of the scaled discrete energies. © 2012 The authors.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
