Curvature-induced defect unbinding in toroidal geometries

Mark John Bowick, David R. Nelson, Alex Travesset

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40 Scopus citations

Abstract

The curvature-induced defect unbinding in toroidal geometries such as vesicles with hexatic bond orientational order was discussed. Explicit computation of the total energy including disclination charges was performed for hexatic order embedded in a toroidal geometry. The results showed that excess defects were present in the ground state for any fixed particle number provided the torus was sufficiently fat. It was found that excess disclination defects were favored for fat torii of moderate vesicle sizes.

Original languageEnglish (US)
Article number041102
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number4 1
StatePublished - Apr 2004

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ASJC Scopus subject areas

  • Mathematical Physics
  • Physics and Astronomy(all)
  • Condensed Matter Physics
  • Statistical and Nonlinear Physics

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