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Theory of diffusion controlled growth
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Ball, Robin and Somfai, Ellák (2002) Theory of diffusion controlled growth. Physical Review Letters, Vol.89 (No.13). doi:10.1103/PhysRevLett.89.135503 ISSN 0031-9007.
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Official URL: http://dx.doi.org/10.1103/PhysRevLett.89.135503
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 | ||||
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Subjects: | Q Science > QC Physics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > 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: |
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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 (Creative Commons) | ||||
Date of first compliant deposit: | 1 August 2016 | ||||
Date of first compliant Open Access: | 1 August 2016 | ||||
Funder: | European Commission (EC) | ||||
Grant number: | HPMF-CT-2000-00800 (EC) |
Data sourced from Thomson Reuters' Web of Knowledge
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