Random tilings of high symmetry: I. mean-field theory

Random tilings of high symmetry: I. mean-field theory

We study random tiling models in the limit of high rotational symmetry. In this limit a mean-field theory yields reasonable predictions for the configurational entropy of free boundary rhombus tilings in two dimensions. We base our mean-field theory on an iterative tiling construction inspired by th...

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Veröffentlicht in:Journal of statistical physics 2005-09, Vol.120 (5-6), p.799-835
Hauptverfasser: DESTAINVILLE, N, WIDOM, M, MOSSERI, R, BAILLY, F
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Sprache:eng
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Condensed Matter
Exact sciences and technology
Physics
Statistical Mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
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container_title Journal of statistical physics
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creator DESTAINVILLE, N
WIDOM, M
MOSSERI, R
BAILLY, F
description We study random tiling models in the limit of high rotational symmetry. In this limit a mean-field theory yields reasonable predictions for the configurational entropy of free boundary rhombus tilings in two dimensions. We base our mean-field theory on an iterative tiling construction inspired by the work of de Bruijn. In addition to the entropy, we consider correlation functions, phason elasticity and the thermodynamic limit. Tilings of dimension other than two are considered briefly.
doi_str_mv 10.1007/s10955-005-6989-y
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subjects Condensed Matter
Exact sciences and technology
Physics
Statistical Mechanics
Statistical physics, thermodynamics, and nonlinear dynamical systems
title Random tilings of high symmetry: I. mean-field theory
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