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

Author

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  • Burrows, B.L.
  • Millington, J.I.

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.

Suggested Citation

  • Burrows, B.L. & Millington, J.I., 2001. "Recursive procedures for measuring disorder in non-periodic sequences and lattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 295(3), pages 488-506.
    • Handle: RePEc:eee:phsmap:v:295:y:2001:i:3:p:488-506
    DOI: 10.1016/S0378-4371(01)00044-9
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