Quasicrystals in a monodisperse system

Anna Skibinsky, Sergey V. Buldyrev, Antonio Scala, Shlomo Havlin, and H. Eugene Stanley
Phys. Rev. E 60, 2664 – Published 1 September 1999
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Abstract

We investigate the formation of a two-dimensional quasicrystal in a monodisperse system, using molecular dynamics simulations of hard-sphere particles interacting via a two-dimensional square-well potential. We find that more than one stable crystalline phase can form for certain values of the square-well parameters. Quenching the liquid phase at a very low temperature, we obtain an amorphous phase. By heating this amorphous phase, we obtain a quasicrystalline structure with fivefold symmetry. From estimations of the Helmholtz potentials of the stable crystalline phases and of the quasicrystal, we conclude that the observed quasicrystal phase can be the stable phase in a specific range of temperatures.

  • Received 9 November 1998

DOI:https://doi.org/10.1103/PhysRevE.60.2664

©1999 American Physical Society

Authors & Affiliations

Anna Skibinsky1,2, Sergey V. Buldyrev1, Antonio Scala1, Shlomo Havlin1,3, and H. Eugene Stanley1

  • 1Center for Polymer Studies and Department of Physics, Boston University, Boston, Massachusetts 02215
  • 2Department of Chemistry, Boston University, Boston, Massachusetts 02215
  • 3Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel

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Vol. 60, Iss. 3 — September 1999

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