An adaptation of the Brownian dynamics simulation method has been used to model the growth of a particular 200-particle ensemble of silver nanoparticles. This ensemble of particles was randomly positioned on an electrode of total area 1.0 x 10(-9) cm(2), and these particles possessed a significant size distribution. The growth of this distribution was investigated at overpotentials ranging from -1 mV to -200 mV. These simulations demonstrate that reduced rates of electrodeposition effectively reduce the particle size dispersion present in an ensemble of particles. The beneficial effect of "slow growth" is brought about by the elimination or reduction of the diffusional coupling present between neighboring particles on the electrode surface.