2000/03/24 by E. Ben-Naim, P. L. Krapivsky
Physics and Astronomy · #cond-mat.stat-mech
paper · pdf · doi:10.1088/0305-4470/33/31/303
published as J. Phys. A 33, 5477 (2000) · 6 pages, 7 figures
arxiv created 2000/03/24 · arxiv updated 2009/11/30
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.