First Order Phase Transition in a Model of Quasicrystals

Details First Order Phase Transition in a Model of Quasicrystals First Order Phase Transition in a Model of Quasicrystals

2011-02-09

arxiv.org/abs/1102.1982v1

J. Phys. A: Math. Theor. 44(2011), 255001

Physics

Condensed Matter

Statistical Mechanics

future versions available from http://www.ma.utexas.edu/users/radin/papers.html

Scientific paper

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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