Random tilings of high symmetry: I. Mean-field theory - Archive ouverte HAL Access content directly
Journal Articles Journal of Statistical Physics Year : 2005

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

Abstract

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.

Dates and versions

hal-00123832 , version 1 (11-01-2007)

Identifiers

Cite

Nicolas Destainville, M. Widom, R. Mosseri, F. Bailly. Random tilings of high symmetry: I. Mean-field theory. Journal of Statistical Physics, 2005, 120, pp.799. ⟨10.1007/s10955-005-6989-y⟩. ⟨hal-00123832⟩
63 View
0 Download

Altmetric

Share

Gmail Facebook X LinkedIn More