Measurement of disorder in non-periodic sequences
- 21 August 1991
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 24 (16) , 3979-3987
- https://doi.org/10.1088/0305-4470/24/16/032
Abstract
An information theoretic measure is introduced to compare the disorder in non-periodic sequences. It is shown that the measure correctly distinguishes quasiperiodic and aperiodic sequences which have been deduced from earlier studies using diffraction patterns, although it is often necessary to use a set of measures, depending on the order of the source used. The particular sequences studied are the Thue-Morse sequence and the generalizations of the golden mean sequence commonly studied in connection with quasicrystals.Keywords
This publication has 20 references indexed in Scilit:
- Measures of information and uncertaintyInternational Journal of Mathematical Education in Science and Technology, 1989
- Electronic properties of the tight-binding Fibonacci HamiltonianJournal of Physics A: General Physics, 1989
- Quasiperiodic dynamics for a generalized third-order Fibonacci seriesPhysical Review B, 1988
- Nonlinear dynamics of localization in a class of one-dimensional quasicrystalsPhysical Review B, 1988
- Three classes of one-dimensional, two-tile Penrose tilings and the Fibonacci Kronig-Penney model as a generic casePhysical Review B, 1988
- Scaling and eigenstates for a class of one-dimensional quasiperiodic latticesJournal of Physics A: General Physics, 1988
- Structure and electronic properties of Thue-Morse latticesPhysical Review B, 1988
- Dynamical maps, Cantor spectra, and localization for Fibonacci and related quasiperiodic latticesPhysical Review Letters, 1988
- Quasicrystals, tilings, and algebraic number theory: some preliminary connectionsPublished by American Mathematical Society (AMS) ,1987
- WHICH DISTRIBUTIONS OF MATTER DIFFRACT ? AN INITIAL INVESTIGATIONLe Journal de Physique Colloques, 1986