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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 . ISSN 1070-664X
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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 |
| Date: | August 2008 |
| Volume: | Volume 15 |
| Number: | Number 8 |
| Number of Pages: | 7 |
| Page Range: | Article No. 082308 |
| Identification Number: | 10.1063/1.2969429 |
| Status: | Peer Reviewed |
| Publication Status: | Published |
| Access rights to Published version: | Restricted or Subscription Access |
| URI: | http://wrap.warwick.ac.uk/id/eprint/29291 |
Data sourced from Thomson Reuters' Web of Knowledge
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