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

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.