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Regular version of the site

Article

Morphological diagram of diffusion driven aggregate growth in plane: Competition of anisotropy and adhesion

Computer Physics Communications. 2011. Vol. 182. P. 1819-1823.
Menshutin A., Shchur L.

Two-dimensional structures grown with Witten and Sander algorithm are investigated. We analyze clusters grown off-lattice and clusters grown with antenna method with Nfp=3,4,5,6,7 and 8 allowed growth directions. With the help of variable probe particles technique we measure fractal dimension of such clusters D(N) as a function of their size N  . We propose that in the thermodynamic limit of infinite cluster size the aggregates grown with high degree of anisotropy (Nfp=3,4,5) tend to have fractal dimension D   equal to 3/2, while off-lattice aggregates and aggregates with lower anisotropy (Nfp>6) have D≈1.710. Noise-reduction procedure results in the change of universality class for DLA. For high enough noise-reduction value clusters with Nfp>6 have fractal dimension going to 3/2 when N→∞.