Triangle Distribution and Equation of State for Classical Rigid Disks

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dc.creatorStillinger, Dorothea K.
dc.creatorStillinger, Frank H.
dc.creatorTorquato, Salvatore
dc.creatorTruskett, Thomas M.
dc.creatorDebenedetti, Pablo G.
dc.date1999-10-27
dc.date.accessioned2026-07-07T03:14:54Z
dc.date.available2026-07-07T03:14:54Z
dc.descriptionThe triangle distribution function f^(3) for three mutual nearest neighbors in the plane describes basic aspects of short-range order and statistical thermodynamics in two-dimensional many-particle systems. This paper examines prospects for constructing a self-consistent calculation for the rigid-disk system f^(3). We present several identities obeyed by f^(3). A rudimentary closure suggested by scaled-particle theory is introduced. In conjunction with three of the basic identities, this closure leads to a unique f^(3) over the entire density range. The pressure equation of state exhibits qualitatively correct behavior in both the low density and the close-packed limits, but no intervening phase transition appears. We discuss extensions to improved disk closures, and to the three-dimensional rigid sphere system.
dc.description40 pages, 8 Figures (To appear in the Journal of Statistical Physics)
dc.identifierhttps://arxiv.org/abs/cond-mat/9910451
dc.identifierhttp://arxiv.org/abs/cond-mat/9910451
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/29856
dc.subjectStatistical Mechanics
dc.titleTriangle Distribution and Equation of State for Classical Rigid Disks
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