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

共 15 条

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

Alicandro, Roberto ;

Braides, Andrea ;

Cicalese, Marco .

NETWORKS AND HETEROGENEOUS MEDIA, 2006, 1 (01) :85-107

[2]

[Anonymous], 1998, Homogenization of multiple integrals

[3]

[Anonymous], 1993, An Introduction to-Convergence

[4]

[Anonymous], 1998, Lecture Notes in Math.

[5]

Besicovitch A.S., 1954, Almost Periodic Functions, VVolume 4

[6]

Braides A, 2000, INDIANA U MATH J, V49, P1367

[7]

Braides A., 2002, Gamma-Convergence for Beginners

[8]

BRAIDES A, J FUNC ANAL IN PRESS

[9]

Braides A, 2006, HBK DIFF EQUAT STATI, V3, P101, DOI 10.1016/S1874-5733(06)80006-9

[10] INTERFACIAL ENERGIES ON PENROSE LATTICES [J].

Braides, Andrea ;

Solci, Margherita .

MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES, 2011, 21 (05) :1193-1210

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