  In order to study linker-mediated aggregation of colloidal particles with
limited valence, we combine kinetic Monte Carlo simulations and an approximate
theory based on the Smoluchowski equations. We found that aggregation depends
strongly on two parameters, the ratio of the number of linkers and particles
and the ratio of their diffusion coefficients. These control parameters are
absent in single-species aggregation and provide a much greater variety and
control of the resulting structures. We show that aggregation is non-trivial
when two time scales of aggregation are present. Our aggregation dynamics
theory is in qualitative and quantitative agreement with kinetic Monte Carlo
simulations. Our results show how the optimal aggregation may be tuned through
the ratio of the linkers and particles and that of the diffusion coefficients.
