11-18 David Aristoff and Charles Radin
First Order Phase Transition in a Model of Quasicrystals (313K, pdf) Feb 9, 11
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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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