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Approximate variances associated with random configurations of hard spheres

Published online by Cambridge University Press:  14 July 2016

A. J. Girling
A. J. Girling*
Affiliation:
University of Birmingham
*
∗ Postal address: Department of Statistics, The University of Birmingham, P.O. Box 363, Birmingham B15 2TT, U.K.
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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.

Keywords

GEOMETRICAL PROBABILITYHARD SPHERESSTATISTICAL MECHANICSPERCUSYEVICK APPROXIMATION

Information

Type
Research Papers
Information
Journal of Applied Probability , Volume 19 , Issue 3 , September 1982 , pp. 588 - 596
Copyright
Copyright © Applied Probability Trust 1982 

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