CONVEX TO CONCAVE TRANSITION AND INVARIANT DISTRIBUTION OF SEGMENT LENGTHS IN MANY-WALKER ANISOTROPIC DIFFUSION-LIMITED AGGREGATION

Authors
Citation
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
Citations number
35
Categorie Soggetti
Physycs, Mathematical","Phsycs, Fluid & Plasmas
ISSN journal
1063651X
Volume
49
Issue
5
Year of publication
1994
Part
A
Pages
180003598 - 180003601
Database
ISI
SICI code
1063-651X(1994)49:5<180003598:CTCTAI>2.0.ZU;2-N
Abstract
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.