Stochastic Aggregation: Rate Equations Approach

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dc.creatorKrapivsky, P. L.
dc.creatorBen-Naim, E.
dc.date2000-03-24
dc.date.accessioned2026-07-07T02:37:11Z
dc.date.available2026-07-07T02:37:11Z
dc.descriptionWe 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.
dc.description7 pages
dc.identifierhttps://arxiv.org/abs/cond-mat/0003390
dc.identifierhttp://arxiv.org/abs/cond-mat/0003390
dc.identifierJ. Phys. A 33, 5465 (2000)
dc.identifierdoi:10.1088/0305-4470/33/31/302
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16189
dc.subjectStatistical Mechanics
dc.titleStochastic Aggregation: Rate Equations Approach
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