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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). 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

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:

Identification Number:

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)

References:

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