Distribution functions at zero separation and An equation of state for hard-core particles with a finite interaction tail†

Author： Barboy B. Tenne R.

Publisher： Taylor & Francis Ltd

ISSN： 1362-3028

Source： Molecular Physics, Vol.31, Iss.6, 1976-06, pp. : 1749-1764

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Abstract

Two theorems formerly proved by Henderson and Grundke are generalized to v component mixtures of particles with a soft interaction which might be attractive or repulsive in its character except at least at the particle centre where interaction potential must be infinitely large. The first theorem concerns the distribution function y β ( r ) at zero separation for the case of finite range interaction and v > 1 (the hard core of particle β is greater than the interaction range of molecule ). The second theorem treats the gradient of y ( r ) at zero separation in the common case. Extensions of these results to higher-order distribution functions are also given. Utilizing the first theorem we suggest an independent way to the determination of an equation of state for the mixture and apply this procedure to the evaluation of virial coefficients.