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Statistical geometry of hard particles on a sphere

Author

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

Abstract

We present a Monte Carlo study of a two-dimensional system of hard particles embedded on the surface of a sphere. Thermodynamic and structural evidence of an ordering phase transition is found at high densities in spite of the frustration induced on the hexagonal covering by the peculiar topology of the host surface. The nature of this transition is analyzed and contrasted with the fluid-solid transition occuring in a flat geometry.

Suggested Citation

  • Prestipino Giarritta, S. & Ferrario, M. & Giaquinta, P.V., 1992. "Statistical geometry of hard particles on a sphere," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(3), pages 456-474.
    • Handle: RePEc:eee:phsmap:v:187:y:1992:i:3:p:456-474
    DOI: 10.1016/0378-4371(92)90005-B
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    References listed on IDEAS

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    1. Fuminori Sakaguchi, 1991. "A Relation For ‘Linearity’ Of The Bispectrum," Journal of Time Series Analysis, Wiley Blackwell, vol. 12(3), pages 267-272, May.
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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.

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