Source:http://linkedlifedata.com/resource/pubmed/id/12636673
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rdf:type | |
lifeskim:mentions | |
pubmed:issue |
2 Pt 1
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pubmed:dateCreated |
2003-3-14
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pubmed:abstractText |
We expand upon a new theoretical framework for diffusion-limited aggregation and associated dielectric breakdown models in two dimensions [R. C. Ball and E. Somfai, Phys. Rev. Lett. 89, 135503 (2002)]. Key steps are understanding how these models interrelate when the ultraviolet cut-off strategy is changed, the analogy with turbulence, and the use of logarithmic field variables. Within the simplest, Gaussian, truncation of mode-mode coupling, all properties can be calculated. The agreement with prior knowledge from simulations is encouraging, and a new superuniversality of the tip scaling exponent is discussed. We find angular resonances relatable to the cone angle theory, and we are led to predict a new screening transition in the DBM at large eta.
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pubmed:language |
eng
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pubmed:journal | |
pubmed:status |
PubMed-not-MEDLINE
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pubmed:month |
Feb
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pubmed:issn |
1539-3755
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pubmed:author | |
pubmed:issnType |
Print
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pubmed:volume |
67
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pubmed:owner |
NLM
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pubmed:authorsComplete |
Y
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pubmed:pagination |
021401
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pubmed:dateRevised |
2003-11-4
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pubmed:year |
2003
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pubmed:articleTitle |
Diffusion-controlled growth: theory and closure approximations.
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pubmed:affiliation |
Department of Physics, University of Warwick, Coventry CV4 7AL, United Kingdom.
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pubmed:publicationType |
Journal Article
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