Ball, Robin and Somfai, Ellák (2002) Theory of diffusion controlled growth. Physical Review Letters, Vol.89 (No.13). doi:10.1103/PhysRevLett.89.135503

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Abstract

We present a new theoretical framework for diffusion limited aggregation and associated dielectric breakdown models in two dimensions. Key steps are understanding how these models interrelate when the ultraviolet cutoff 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 both predicted and confirmed.

Item Type:	Journal Article
Subjects:	Q Science > QC Physics
Divisions:	Faculty of Science > Physics
Library of Congress Subject Headings (LCSH):	Aggregation (Chemistry) -- Mathematical models, Diffusion, Breakdown (Electricity)
Journal or Publication Title:	Physical Review Letters
Publisher:	American Physical Society
ISSN:	0031-9007
Official Date:	23 September 2002
Dates:	Date Event 23 September 2002 Published
Volume:	Vol.89
Number:	No.13
Number of Pages:	4
DOI:	10.1103/PhysRevLett.89.135503
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Open Access
Funder:	European Commission (EC)
Grant number:	HPMF-CT-2000-00800 (EC)

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