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First-Order Conservative Processes with Multiple Latent Roots

Published online by Cambridge University Press:  14 July 2016

J. Radcliffe  and
P. J. Staff
J. Radcliffe
Affiliation:
University of Leeds
P. J. Staff
Affiliation:
University of New South Wales
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Extract

There are now many examples in various fields where the behaviour of ‘particles' as exhibited by their transition from one state to another is described by a multidimensional stochastic process. The linear migration model in which particles move independently of one another through a number of states has been dealt with by Bartlett (1949). This process has been used by Siegert (1949) in considering the approach to equilibrium of non-interacting gas molecules and by Krieger and Gans (1960) and Gans (1960) to examine the distribution of a multicomponent system disturbed from its equilibrium distribution and relaxing by first-order processes to another equilibrium. The correspondence between the deterministic model based on the principle of mass action and the stochastic model has been discussed by Darvey and Staff (1966) in the context of unimolecular multicomponent chemical reactions.

Type
Research Papers
Information
Journal of Applied Probability , Volume 6 , Issue 1 , April 1969 , pp. 186 - 194
Copyright
Copyright © Applied Probability Trust 

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