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Branched growth with eta approximately 4 walkers.
MedLine Citation:
PMID:  11863500     Owner:  NLM     Status:  PubMed-not-MEDLINE    
Abstract/OtherAbstract:
Diffusion-limited aggregation has a natural generalization to the "eta models," in which eta random walkers must arrive at a point on the cluster surface in order for growth to occur. It has recently been proposed that in spatial dimensionality d=2, there is an upper critical eta(c)=4 above which the fractal dimensionality of the clusters is D=1. I compute the first-order correction to D for eta<4, obtaining D=1 + 1/2 (4-eta). The methods used can also determine multifractal dimensions to first order in 4-eta.
Authors:
Thomas C Halsey
Publication Detail:
Type:  Journal Article     Date:  2002-01-14
Journal Detail:
Title:  Physical review. E, Statistical, nonlinear, and soft matter physics     Volume:  65     ISSN:  1539-3755     ISO Abbreviation:  Phys Rev E Stat Nonlin Soft Matter Phys     Publication Date:  2002 Feb 
Date Detail:
Created Date:  2002-02-26     Completed Date:  2002-04-22     Revised Date:  2003-11-03    
Medline Journal Info:
Nlm Unique ID:  101136452     Medline TA:  Phys Rev E Stat Nonlin Soft Matter Phys     Country:  United States    
Other Details:
Languages:  eng     Pagination:  021104     Citation Subset:  -    
Affiliation:
Corporate Strategic Research, ExxonMobil Research and Engineering, Route 22 East, Annandale, New Jersey 08801, USA. thomas.c.halsey@exxonmobil.com
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