Curvature-induced defect unbinding in toroidal geometries

Mark Bowick, David R. Nelson, Alex Travesset

Research output: Contribution to journalArticle

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
Pages (from-to)041102-1-041102-12
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume69
Issue number4 1
StatePublished - Apr 1 2004

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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    Bowick, M., Nelson, D. R., & Travesset, A. (2004). Curvature-induced defect unbinding in toroidal geometries. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 69(4 1), 041102-1-041102-12. [041102].