Computer simulation of film growth was carried out for the system consisting of gold on amorphous carbon on the basis of the generalized Zinsmeister equations derived in Part I. If it was assumed that i-mers move about over the substrate with a diffusion coefficient Di = i-xD1 where D1 was the monomer diffusion coefficient and x was a constant (x ≈ 1.5), values of τ (the monomer residence time) and σD1 (σ was the collision cross-section) that give densities ni of i-mers reasonably consistent with the observed cluster size distributions and n = Σni versus time relations could be found.

Mobility of Gold Clusters on Amorphous Carbon Substrates II: Evaluation of Surface Diffusion Coefficients. Takeuchi, K., Kinosita, K.: Thin Solid Films, 1982, 90[1], 31-5