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On the roles of the Bessel and Poisson distributions in chemical kinetics

Published online by Cambridge University Press:  14 July 2016

Peter Hall
Peter Hall*
Affiliation:
The Australian National University
*
∗ Postal address: Department of Statistics, The Faculties, The Australian National University, G.P.O. Box 4, Canberra, ACT 2601, Australia.
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Abstract

We consider the Darvey, Ninham and Staff model for reversible chemical reactions, in the case where the ratio of the rate constants is either very large or very small. It is shown that the distribution of the number of molecules at equilibrium may sometimes be closely approximated by the Poisson distribution, and on other occasions, by a distribution with much smaller tails than the Poisson. The second type of approximating distribution is termed a Bessel distribution, and its properties are studied.

Keywords

APPROXIMATING DISTRIBUTIONNORMAL DISTRIBUTIONREVERSIBLE REACTION
Type
Research Papers
Information
Journal of Applied Probability , Volume 20 , Issue 3 , September 1983 , pp. 585 - 599
Copyright
Copyright © Applied Probability Trust 1983 

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