First order phase transition in a model of quasicrystals

نویسندگان

  • David Aristoff
  • Charles Radin
چکیده

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. PACS numbers: 61.44.Br, 64.60.De (Some figures in this article are in colour only in the electronic version)

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تاریخ انتشار 2011