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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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
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

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