Scaling laws in the diffusion limited aggregation of persistent random walkers

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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13 pages, 7 figures; Physica A: Statistical Mechanics and its Applications, In Press, Uncorrected Proof, Available online 8 Ju

Scientific paper

10.1016/j.physa.2011.06.077

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.

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