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A stochastic model of the growth of particles is formulated and the differential equation for the rate of change of probabilities of various particle number states is solved. A numerical study and some useful approximations are presented. The results are compared with the usual form of the stochastic coalescence equation (also known as the scalar transport equation). A bibliography is appended of discussions and applications of the scalar transport equation.
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Allan H. Marcus (1968) studied this question.
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