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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
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: |
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| 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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