The density profile of electrosynthesized polymeric layers on carbon fibers is obtained from gravimetric and scanning electron microscopy (SEM) data. The coating density rho is found to decrease with increasing radial distance, r, subject to the power law rho(r) proportional to 1/rootr. Based on a modified diffusion-limited aggregation (DLA) model, it is shown that lattice Monte Carlo simulation of the coating process predicts the experimentally observed power law exponent. (C) 2003 Elsevier Science Ltd. All rights reserved.