Stochastic Aggregation: Scaling Properties

Details Stochastic Aggregation: Scaling Properties Stochastic Aggregation: Scaling Properties

2000-03-24

arxiv.org/abs/cond-mat/0003391v1

J. Phys. A 33, 5477 (2000)

Physics

Condensed Matter

Statistical Mechanics

6 pages, 7 figures

Scientific paper

10.1088/0305-4470/33/31/303

We study 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 nontrivial exponents corresponding to the survival probability of particles and monomers. The overall behavior 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.

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