- 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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