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arXiv · 1102.1982

First Order Phase Transition in a Model of Quasicrystals

David Aristoff·Charles Radin
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Abstract

We introduce a family of two-dimensional lattice models of quasicrystals, using a range of square hard cores together with a soft interaction based on an aperiodic tiling set. Along a low temperature isotherm we find, by Monte Carlo simulation, a first order phase transition between disordered and quasicrystalline phases.

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David Aristoff, Charles Radin. 2011-02-09. First Order Phase Transition in a Model of Quasicrystals. https://doi.org/10.1088/1751-8113/44/25/255001

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