Off-lattice noise reduction and the ultimate scaling of DLA in two dimensions

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dc.creatorBall, Robin C.
dc.creatorBowler, Neill E.
dc.creatorSander, Leonard M.
dc.creatorSomfai, Ellak
dc.date2001-08-15
dc.date2002-04-19
dc.date.accessioned2026-07-07T02:42:26Z
dc.date.available2026-07-07T02:42:26Z
dc.descriptionOff-lattice DLA clusters grown with different levels of noise reduction are found to be consistent with a simple fractal fixed point. Cluster shapes and their ensemble variation exhibit a dominant slowest correction to scaling, and this also accounts for the apparent ``multiscaling'' in the DLA mass distribution. We interpret the correction to scaling in terms of renormalized noise. The limiting value of this variable is strikingly small and is dominated by fluctuations in cluster shape. Earlier claims of anomalous scaling in DLA were misled by the slow approach to this small fixed point value.
dc.description7 pages, 11 figures; rewritten and expanded
dc.identifierhttps://arxiv.org/abs/cond-mat/0108252
dc.identifierhttp://arxiv.org/abs/cond-mat/0108252
dc.identifierPhys. Rev. E 66, 026109 (2002)
dc.identifierdoi:10.1103/PhysRevE.66.026109
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/18138
dc.subjectStatistical Mechanics
dc.titleOff-lattice noise reduction and the ultimate scaling of DLA in two dimensions
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