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A simple diffusion model showing anomalous scaling

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Rowlands, G. (George) and Sproft, J. C. (2008) A simple diffusion model showing anomalous scaling. Physics of Plasmas, Volume 15 (Number 8). Article No. 082308 . doi:10.1063/1.2969429

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Official URL: http://dx.doi.org/10.1063/1.2969429

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Abstract

A number of iterated maps and one. flow, which show chaotic behavior, have been studied numerically and their time evolution expressed in terms of higher-order moments M-m(t). All the cases show anomalous behavior with M-m(t)similar to t(g(m)), with g(m) not equal alpha m. A simple analytic treatment is given based on an effective diffusion that is dependent on both space and time. This leads to a form for g(m)/m=a-b/m, which is in good agreement with numerical results. This behavior is attributed to the presence of convective motion superimposed on the background diffusion, and hence this behavior is expected in a wide variety of maps and flows. (C) 2008 American Institute of Physics.

Item Type: Journal Article
Subjects: Q Science > QC Physics
Divisions: Faculty of Science > Physics
Library of Congress Subject Headings (LCSH): Scaling laws (Statistical physics), Diffusion -- Mathematical models
Journal or Publication Title: Physics of Plasmas
Publisher: American Institute of Physics
ISSN: 1070-664X
Official Date: August 2008
Dates:
DateEvent
August 2008Published
Volume: Volume 15
Number: Number 8
Number of Pages: 7
Page Range: Article No. 082308
DOI: 10.1063/1.2969429
Status: Peer Reviewed
Publication Status: Published
Access rights to Published version: Restricted or Subscription Access

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