Hard-core insertion in the many-body problem

J. K. Percus, G. J. Yevick

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Abstract

Under many conditions, short-range interparticle forces may be simulated by hard cores. The excluded-volume condition which this implies is equivalent to a single restriction upon the microscopic pair distribution. A short-range nonsingular equivalent potential plays a dominant role in this formulation, and its precise value depends upon the approximation used for the remaining long-range forces. A few of these approximations are examined; they yield simplifications of well-known integral equations in the theory of fluids. Possible perturbation solutions are investigated. For example, the corrections to plasma distributions due to short-range cores can be found in this fashion. The method is generalized by using a single condition on the mean radial distribution, permitting application to quantum mechanics, to mixtures, and to external forces. The special case of the Bose hard-sphere fluid is considered.

Original languageEnglish (US)
Pages (from-to)B290-B296
JournalPhysical Review
Volume136
Issue number1B
DOIs
StatePublished - Dec 1 1964

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ASJC Scopus subject areas

  • Physics and Astronomy(all)

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