First Order Phase Transition in a Model of Quasicrystals
Statistical Mechanics
2015-05-27 v1 Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1102.1982,
title = {First Order Phase Transition in a Model of Quasicrystals},
author = {David Aristoff and Charles Radin},
journal= {arXiv preprint arXiv:1102.1982},
year = {2015}
}
Comments
future versions available from http://www.ma.utexas.edu/users/radin/papers.html