Scaling laws in the diffusion limited aggregation of persistent random   walkers
  We investigate the diffusion limited aggregation of particles executing persistent random walks. The scaling properties of both random walks and large aggregates are presented. The aggregates exhibit a crossover between ballistic and diffusion limited aggregation models. A non-trivial scaling relation $\xi\sim\ell^{1.25}$ between the characteristic size $\xi$, in which the cluster undergoes a morphological transition, and the persistence length $\ell$, between ballistic and diffusive regimes of the random walk, is observed. 
Isadora R. Nogueira, Sidiney G. Alves and Silvio C. Ferreira
cond-mat.stat-mech