  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.
