Approximate variances associated with random configurations of hard spheres

Author:

Girling A. J.

Abstract

The Percus–Yevick approximation of classical liquid theory is employed to obtain variances associated with random configurations of equal spheres in ℝ3. The idea is illustrated by considering the number of spheres, and also the amount of hard material, contained within a fixed cylinder — an application of some practical value.

Publisher

Cambridge University Press (CUP)

Subject

Statistics, Probability and Uncertainty,General Mathematics,Statistics and Probability

Reference9 articles.

1. Accidental deviations of density and opalescence at the critical point of a single substance;Ornstein;Proc. Akad. Sci. (Amsterdam),1914

2. On a certain type of integral associated with circular cylinders

3. Equation of State for Hard Spheres

4. Exact Solution of the Percus-Yevick Integral Equation for Hard Spheres

5. Analytic Solution of the Percus‐Yevick Equation

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