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Renormalization-group theory for Alfvén-wave turbulence

Published online by Cambridge University Press:  13 March 2009

Ye Zhou  and
George Vahala
Ye Zhou
Affiliation:
Department of Physics, College of William and Mary, Williamsburg, Virginia 23185, U.S.A.
George Vahala
Affiliation:
Department of Physics, College of William and Mary, Williamsburg, Virginia 23185, U.S.A.
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Extract

є-Expansion renormalization-group theory is applied to a model Alfvén-wave turbulence equation. In particular, the effect of small ‘unresolvable’ subgrid scales on the large scales is computed. It is found that the removal of the subgrid scales leads to a renormalized response function v. The Lorenzian wavenumber spectrum of Chen & Mahajan can be recovered for finite є, but the nonlinear coupling constant still remains small, fully justifying the neglect of higher-order nonlinearities introduced by the renormalization-group procedure.

Type
Research Article
Information
Journal of Plasma Physics , Volume 39 , Issue 3 , June 1988 , pp. 511 - 520
Copyright
Copyright © Cambridge University Press 1988

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References

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