کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
1893784 1044110 2006 14 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Discrete quasiperiodic sets with predefined local structure
کلمات کلیدی
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات فیزیک ریاضی
پیش نمایش صفحه اول مقاله
Discrete quasiperiodic sets with predefined local structure
چکیده انگلیسی

Model sets play a fundamental role in the structure analysis of quasicrystals. The diffraction diagram of a quasicrystal admits as a symmetry group a finite group GG, and there is a GG-cluster CC (union of orbits of GG) such that the quasicrystal can be regarded as a quasiperiodic packing of interpenetrating copies of CC. We present an algorithm which leads from any GG-cluster CC directly to a multi-component model set QQ such that the arithmetic neighbours of any point x∈Qx∈Q are distributed on the sites of the translated copy x+Cx+C of CC. Our mathematical algorithm may be useful in quasicrystal physics.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Geometry and Physics - Volume 56, Issue 12, December 2006, Pages 2415–2428
نویسندگان
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