The harmonic measure of diffusion-limited aggregates including rare events
dc.contributor.author | Adams, D. A. | en_US |
dc.date.accessioned | 2010-03-23T15:24:26Z | |
dc.date.available | 2010-03-23T15:24:26Z | |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Adams, D. A. (2009). "The harmonic measure of diffusion-limited aggregates including rare events." EPL (Europhysics Letters) 87(2): 20001. <http://hdl.handle.net/2027.42/65073> | en_US |
dc.identifier.issn | 0295-5075 | en_US |
dc.identifier.uri | https://hdl.handle.net/2027.42/65073 | |
dc.description.abstract | We obtain the harmonic measure of diffusion-limited aggregate (DLA) clusters using a biased random-walk sampling technique which allows us to measure probabilities of random walkers hitting sections of clusters with unprecedented accuracy; our results include probabilities as small as 10 - 80 . We find the multifractal D ( q ) spectrum including regions of small and negative q . Our algorithm allows us to obtain the harmonic measure for clusters more than an order of magnitude larger than those achieved using the method of iterative conformal maps, which is the previous best method. We find a phase transition in the singularity spectrum f [http://ej.iop.org/icons/Entities/ap.gif] 14 and also find a minimum q of D ( q ), q min =0.9m +/- 0.05. | en_US |
dc.format.extent | 3111 bytes | |
dc.format.extent | 1139543 bytes | |
dc.format.mimetype | text/plain | |
dc.format.mimetype | application/pdf | |
dc.publisher | IOP Publishing | en_US |
dc.title | The harmonic measure of diffusion-limited aggregates including rare events | 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.description.bitstreamurl | http://deepblue.lib.umich.edu/bitstream/2027.42/65073/2/epl_87_2_20001.pdf | |
dc.identifier.source | EPL (Europhysics Letters) | en_US |
dc.owningcollname | Interdisciplinary and Peer-Reviewed |
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