Random walks, diffusion limited aggregation in a wedge, and average conformal maps

Sander, Leonard M.; Somfai, Ellák

Random walks, diffusion limited aggregation in a wedge, and average conformal maps

dc.contributor.author	Sander, Leonard M.	en_US
dc.contributor.author	Somfai, Ellák	en_US
dc.date.accessioned	2011-11-15T16:10:48Z
dc.date.available	2011-11-15T16:10:48Z
dc.date.issued	2005-06	en_US
dc.identifier.citation	Sander, Leonard M.; Somfai, Ellák (2005). "Random walks, diffusion limited aggregation in a wedge, and average conformal maps." Chaos 15(2): 026109-026109-6. <http://hdl.handle.net/2027.42/87887>	en_US
dc.identifier.uri	https://hdl.handle.net/2027.42/87887
dc.description.abstract	We investigate diffusion-limited aggregation (DLA) in a wedge geometry. Arneodo and collaborators have suggested that the ensemble average of DLA cluster density should be close to the noise-free selected Saffman-Taylor finger. We show that a different, but related, ensemble average, that of the conformal maps associated with random clusters, yields a nontrivial shape which is also not far from the Saffman-Taylor finger. However, we have previously demonstrated that the same average of DLA in a channel geometry is not the Saffman-Taylor finger. This casts doubt on the idea that the average of noisy diffusion-limited growth is governed by a simple transcription of noise-free results.	en_US
dc.publisher	The American Institute of Physics	en_US
dc.rights	© The American Institute of Physics	en_US
dc.title	Random walks, diffusion limited aggregation in a wedge, and average conformal maps	en_US
dc.type	Article	en_US
dc.subject.hlbsecondlevel	Physics	en_US
dc.subject.hlbtoplevel	Science	en_US
dc.description.peerreviewed	Peer Reviewed	en_US
dc.contributor.affiliationum	Michigan Center for Theoretical Physics, Department of Physics, University of Michigan, Ann Arbor, Michigan 48109-1120	en_US
dc.contributor.affiliationother	Instituut-Lorentz, University of Leiden, P. O. Box 9506, 2300 RA Leiden, Netherlands	en_US
dc.description.bitstreamurl	http://deepblue.lib.umich.edu/bitstream/2027.42/87887/2/026109_1.pdf
dc.identifier.doi	10.1063/1.1876932	en_US
dc.identifier.source	Chaos	en_US
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