1994/02/01 by P. Ossadnik, Ossadnik, P., C. -H. Lam +3
Physics and Astronomy · #Condensed Matter (cond-mat) #FOS: Physical sciences #cond-mat
paper · pdf · doi:10.48550/arxiv.cond-mat/9402003
RevTeX 3.0, 7 pages, figures upon request, CPS-1994-1
arxiv created 1994/02/01 · arxiv updated 2009/11/30
In analogy to recent results on non-universal roughening in surface growth [Lam and Sander, Phys. Rev. Lett. \bf 69, 3338 (1992)], we propose a variant of diffusion-limited aggregation (DLA) in which the radii of the particles are chosen from a power law distribution. For very broad distributions, the huge particles dominate and the fractal dimension is calculated exactly using a scaling theory. For narrower distributions, it crosses back to DLA. We simulated 1200 clusters containing up to 200,000 particles. The fractal dimensions obtained are in reasonable agreement with our theory.