publication . Article . 2005

Anisotropic diffusion limited aggregation in three dimensions: universality and nonuniversality.

Ellák Somfai;
Open Access
  • Published: 09 Sep 2005 Journal: Physical Review E, volume 72 (issn: 1539-3755, eissn: 1550-2376, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
We explore the macroscopic consequences of lattice anisotropy for diffusion limited aggregation (DLA) in three dimensions. Simple cubic and bcc lattice growths are shown to approach universal asymptotic states in a coherent fashion, and the approach is accelerated by the use of noise reduction. These states are strikingly anisotropic dendrites with a rich hierarchy of structure. For growth on an fcc lattice, our data suggest at least two stable fixed points of anisotropy, one matching the bcc case. Hexagonal growths, favoring six planar and two polar directions, appear to approach a line of asymptotic states with continuously tunable polar anisotropy. The more p...
Subjects
free text keywords: Statistics and Probability, Statistical and Nonlinear Physics, Condensed Matter Physics
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