First Order Phase Transition in a Model of Quasicrystals

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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References in corpus (3)

• Monte Carlo simulations of 2d hard core lattice gases
• Modelling quasicrystals at positive temperature
• A finite-temperature liquid-quasicrystal transition in a lattice model

Cited by in corpus (5)

• Compressing Random Microstructures via Stochastic Wang Tilings
• Aperiodic compression and reconstruction of real world material systems based on Wang tiles
• Entropic commensurate-incommensurate transition
• On the Besicovitch-Stability of Noisy Random Tilings
• Aperiodicity in equilibrium systems: Between order and disorder