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

Abstract

Two-dimensional structures grown with Witten and Sander algorithm are investigated. We analyze clusters grown off-lattice and clusters grown with antenna method with $N_{fp}=3,4,5,6,7$ 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 ($N_{fp}=3,4,5$) tend to have fractal dimension $D$ equal to 3/2, while off-lattice aggregates and aggregates with lower anisotropy ($N_{fp}>6$) have $D\approx 1.710$. Noise-reduction procedure results in the change of universality class for DLA. For high enough noise-reduction value clusters with $N_{fp}\ge 6$ have fractal dimension going to $3/2$ when $N\to \infty$.

6 pages, 8 figures, conference CCP2010

References in corpus (2)

• Finite size effect of harmonic measure estimation in a DLA model: Variable size of probe particles
• Variable size particle probing of the DLA cluster properties

Cited by in corpus (3)

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• Diffusion-limited aggregation with polygon particles
• Influence of the random walk finite step on the first-passage probability