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Long-time states of inverse cascades in the presence of a maximum length scale

Published online by Cambridge University Press:  13 March 2009

Murshed Hossain ,
William H. Matthaeus  and
David Montgomery
Murshed Hossain
Affiliation:
Physics Department, College of William and Mary, Williamsburg, Virginia 23185, U.S.A.
William H. Matthaeus
Affiliation:
Physics Department, College of William and Mary, Williamsburg, Virginia 23185, U.S.A.
David Montgomery
Affiliation:
Physics Department, College of William and Mary, Williamsburg, Virginia 23185, U.S.A.
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Abstract

It is shown numerically, both for the two-dimensional Navier-Stokes (guidingcentre plasma) equations and for two-dimensional magnetohydrodynamics, that the long-time asymptotic state in a forced inverse-cascade situation is one in which the spectrum is completely dominated by its own fundamental. The growth continues until the fundamental is dissipatively limited by its own dissipation rate.

Type
Research Article
Information
Journal of Plasma Physics , Volume 30 , Issue 3 , December 1983 , pp. 479 - 493
Copyright
Copyright © Cambridge University Press 1983

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References

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