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Statistical geometry of hard particles on a sphere: analysis of defects at high density

Author

Listed:
  • Giarritta, S.Prestipino
  • Ferrario, M.
  • Giaquinta, P.V.

Abstract

We analyse the geometry of the solid phase shaped by densely packed hard calottes on a sphere. We show that in this phase topological defects are not distributed at random over the surface but segregate into clusters that give rise to an upper level of organization in the form of a superstructure with icosahedral symmetry.

Suggested Citation

  • Giarritta, S.Prestipino & Ferrario, M. & Giaquinta, P.V., 1993. "Statistical geometry of hard particles on a sphere: analysis of defects at high density," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 201(4), pages 649-665.
    • Handle: RePEc:eee:phsmap:v:201:y:1993:i:4:p:649-665
    DOI: 10.1016/0378-4371(93)90134-P
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    Cited by:

    1. Lishchuk, S.V., 2006. "Equation of state of the hard-disk fluid on a sphere from Percus–Yevick equation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 369(2), pages 266-274.
    2. Rull, Luis F., 1995. "Phase diagram of a liquid crystal model: A computer simulation study," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(1), pages 113-138.
    3. Chrameh Fru Mbah & Junwei Wang & Silvan Englisch & Praveen Bommineni & Nydia Roxana Varela-Rosales & Erdmann Spiecker & Nicolas Vogel & Michael Engel, 2023. "Early-stage bifurcation of crystallization in a sphere," Nature Communications, Nature, vol. 14(1), pages 1-9, December.

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