Hard-Core Insertion in the Many-Body Problem

作者：Jerome K. Percus, George J. Yevick · 发表于：Physical Review · 年份：1964 · DOI：10.1103/physrev.136.b290 · 被引用次数：73 · 研究领域：Advanced Thermodynamics and Statistical Mechanics、Phase Equilibria and Thermodynamics、Quantum, superfluid, helium dynamics

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.