Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2005-01-26
Phys. Rev. E 72, 031403 (2005)
Physics
Condensed Matter
Statistical Mechanics
13 pages, 10 figures, corrected axis label on one figure
Scientific paper
10.1103/PhysRevE.72.031403
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, favouring six planar and two polar directions, appear to approach a line of asymptotic states with continuously tunable polar anisotropy. The more planar of these growths visually resemble real snowflake morphologies. Our simulations use a new and dimension-independent implementation of the Diffusion Limited Aggregation (DLA) model. The algorithm maintains a hierarchy of sphere-coverings of the growth, supporting efficient random walks onto the growth by spherical moves. Anisotropy was introduced by restricting growth to certain preferred directions.
Ball Robin C.
Goold Nicholas R.
Somfai Ellak
No associations
LandOfFree
Anisotropic diffusion limited aggregation in three dimensions - universality and non-universality does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Anisotropic diffusion limited aggregation in three dimensions - universality and non-universality, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Anisotropic diffusion limited aggregation in three dimensions - universality and non-universality will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-627456