Non universal DLA and exact fractal dimensions

dc.creatorOssadnik, P.
dc.creatorLam, C. -H.
dc.creatorSander, L. M.
dc.date1994-02-01
dc.date.accessioned2026-07-07T03:07:06Z
dc.date.available2026-07-07T03:07:06Z
dc.descriptionIn 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.
dc.descriptionRevTeX 3.0, 7 pages, figures upon request, CPS-1994-1
dc.identifierhttps://arxiv.org/abs/cond-mat/9402003
dc.identifierhttp://arxiv.org/abs/cond-mat/9402003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/27048
dc.subjectCondensed Matter
dc.titleNon universal DLA and exact fractal dimensions
dc.typetext

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