Stochastic aggregation: scaling properties
Open Access
- 28 July 2000
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 33 (31) , 5477-5487
- https://doi.org/10.1088/0305-4470/33/31/303
Abstract
We study the scaling properties of stochastic aggregation processes in one dimension. Numerical simulations for both diffusive and ballistic transport show that the mass distribution is characterized by two independent non-trivial exponents corresponding to the survival probability of particles and monomers. The overall behaviour agrees qualitatively with the mean-field theory. This theory also provides a useful approximation for the decay exponents, as well as the limiting mass distribution.Keywords
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