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.
Statistical geometry of hard particles on a sphere / S., Prestipino Giarritta; Ferrario, Mauro; P. V., Giaquinta. - In: PHYSICA. A. - ISSN 0378-4371. - STAMPA. - 187:(1992), pp. 456-474. [10.1016/0378-4371(92)90005-B]
Statistical geometry of hard particles on a sphere
FERRARIO, Mauro;
1992
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.Pubblicazioni consigliate
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