Stochastic Aggregation: Scaling Properties,
E. Ben-Naim and P.L. Krapivsky
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.
src,
ps,
pdf