Stochastic Aggregation: Rate Equations Approach,
P.L. Krapivsky and E. Ben-Naim
We investigate a class of stochastic aggregation processes involving
two types of clusters: active and passive. The mass distribution is
obtained analytically for several aggregation rates . When the
aggregation rate is constant, we find that the mass distribution of
passive clusters decays algebraically. Furthermore, the entire range
of acceptable decay exponents is possible. For aggregation rates
proportional to the cluster masses, we find that gelation is
suppressed. In this case, the tail of the mass distribution decays
exponentially for large masses, and as a power law over an
intermediate size range.
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