O. Schochet, CONVEX TO CONCAVE TRANSITION AND INVARIANT DISTRIBUTION OF SEGMENT LENGTHS IN MANY-WALKER ANISOTROPIC DIFFUSION-LIMITED AGGREGATION, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 49(5), 1994, pp. 180003598-180003601
We present numerical studies of an on-lattice many-walker diffusion-li
mited aggregation model. For asymptotic late stage growth, the ensembl
e averaged envelope exhibits a convex to concave transition. This tran
sition resembles morphology transitions in other diffusion-limited sys
tems but we do not detect a change in the functional form of the growt
h velocity. We also find that the distribution of the segment lengths
is invariant under changes of the supersaturation.