Recursive procedures for measuring disorder in non-periodic sequences and lattices

B.L. Burrows and J.I. Millington

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 3, 488-506

Abstract: Recursive procedures are developed for calculating the conditional probabilities and kth-order entropy for non-periodic sequences and lattices. The entropies are used to provide a measure of disorder and this paper generalizes previous work in two ways: the use of three or more different atoms in the chain; providing a measure for disorder in a lattice constructed from non-periodic sequences. In addition, a quantitative comparison of the disorder in the Fibonacci and Thue-Morse sequences with three different types of atom is discussed.

Keywords: Disorder; Non-periodic sequences; Lattices (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:3:p:488-506

DOI: 10.1016/S0378-4371(01)00044-9

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