arXiv:1102.1982 Abstract | arXiv Analytics

arXiv:1102.1982 [cond-mat.stat-mech]Abstract References Reviews Resources

First Order Phase Transition in a Model of Quasicrystals

Published 2011-02-09Version 1

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.

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

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

DOI: 10.1088/1751-8113/44/25/255001

Categories: cond-mat.stat-mech, math-ph, math.MP

Keywords: first order phase transition, quasicrystals, two-dimensional lattice models, monte carlo simulation, square hard cores

Tags: journal article

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