Aperiodic structures and notions of order and disorder

被引：6

作者：

Ben-Abraham, S. I. ^{[1
]}

Quandt, A. ^{[2
]}

机构：

[1] Ben Gurion Univ Negev, Dept Phys, IL-84105 Beer Sheva, Israel

[2] Ernst Moritz Arndt Univ Greifswald, Dept Phys, D-17487 Greifswald, Germany

来源：

PHILOSOPHICAL MAGAZINE | 2011年 / 91卷 / 19-21期

关键词：

heterostructures; double-sided sequences; 2D Prouhet-Thue-Morse structure; symbolic complexity; QUASI-CRYSTALS; FOLLOW-UP; COMPLEXITY; DEFINITION; SEQUENCES; LATTICES;

D O I：

10.1080/14786435.2010.518170

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The fabrication of artificial heterostructures is mainly based on substitution systems. We present simple ways to construct double-sided versions of the Fibonacci, Prouhet-Thue-Morse, paperfolding, period doubling and Golay-Rudin-Shapiro sequences. We also construct a generic instance of the two-dimensional Prouhet-Thue-Morse structure and explore its symbolic complexity. The complexity turns out to be polynomial and hence, the entropy goes to zero.

引用

页码：2718 / 2727

页数：10

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