Aperiodic structures and notions of order and disorder

S. I. Ben-Abraham; A. Quandt

doi:10.1080/14786435.2010.518170

Aperiodic structures and notions of order and disorder

S. I. Ben-Abraham
, A. Quandt

Department of Physics

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	2718-2727
Number of pages	10
Journal	Philosophical Magazine
Volume	91
Issue number	19-21
DOIs	https://doi.org/10.1080/14786435.2010.518170
State	Published - 1 Jul 2011

Keywords

2D Prouhet-Thue-Morse structure
double-sided sequences
heterostructures
symbolic complexity

ASJC Scopus subject areas

Condensed Matter Physics

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10.1080/14786435.2010.518170

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AB - 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.

KW - 2D Prouhet-Thue-Morse structure

KW - double-sided sequences

KW - heterostructures

KW - symbolic complexity

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ER -

Aperiodic structures and notions of order and disorder

Abstract

Keywords

ASJC Scopus subject areas

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