Interfacial energies on quasicrystals

被引：12

作者：

Braides, Andrea ^{[1
]}

Causin, Andrea ^{[2
]}

Solci, Margherita ^{[2
]}

机构：

[1] Univ Roma Tor Vergata, Dipartimento Matemat, I-00133 Rome, Italy

[2] Univ Sassari, DAP, I-07041 Alghero, SS, Italy

来源：

IMA JOURNAL OF APPLIED MATHEMATICS | 2012年 / 77卷 / 06期

关键词：

quasicrystals; spin systems; ferromagnetic interactions; Gamma-convergence; homogenization; quasiperiodic functions;

D O I：

10.1093/imamat/hxs046

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：816 / 836

页数：21

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