Entropy of the random triangle-square tiling

Hikaru Kawamura

Physica A: Statistical Mechanics and its Applications, 1991, vol. 177, issue 1, 73-78

Abstract: The random triangle-square tiling with twelvefold quasicrystalline order is studied by using the transfer-matrix method. Based on a systematic finite-size analysis for L × ∞ lattices up to L = 9, the maximum entropy per vertex for an infinite system is estimated to be S = 0.119 ± 0.001. The ratio of the number of triangles to that of squares in the highest-entropy state is estimated to be r = 0.433 ± 0.001, in excellent agreement with the value √34 given by Leung, Henley and Chester.

Date: 1991
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:177:y:1991:i:1:p:73-78

DOI: 10.1016/0378-4371(91)90136-Z

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