Control Parameter of Branching Dynamics in Diffusion-Limited Aggregation

Abstract

Branching dynamics is studied on two-dimensional diffusion-limited aggregation (DLA). Both tip-growth probability of α\cong 0.785 and probability distribution p_m for branch length m are steady in the DLA cluster of N≥ 5000. A new model branching dynamics controlled only by the tip-growth probability α is proposed. The selection probability of m branch is proportional not to perimeter length but to branch number. We find that the simulation results and the theoretical analysis of the present model for α=0.785 agree with the branched structures of DLA.