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Stationary states of two-dimensional magnetohydrodynamic turbulence: non-dissipative limit

Published online by Cambridge University Press:  13 March 2009

Ronald Calinon  and
Danilo Merlini
Ronald Calinon
Affiliation:
Département do Physique, Ecole Polytechnique Fédérale de Lausanne, CH-1007 Lausanne, Switzerland
Danilo Merlini
Affiliation:
Department of Physics, College of William and Mary, Williamsburg, Virginia 23185
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Abstract

A class of exact stationary statistical states for the inviscid magnetohydrodynamic equations in two dimensions and in various geometries is found and the corresponding fluctuation spectra are calculated. Some solutions agree with previous computations in the canonical ensemble while other solutions are found. In particular, the Navier—Stokes limit is recovered and maximum cross helicity solutions exist in two dimensions. The difficulty of proving existence and uniqueness of statistical solutions for non-dissipative two-dimensional turbulence is quoted in terms of rugged constants and associated Gibbs measure.

Type
Research Article
Information
Journal of Plasma Physics , Volume 22 , Issue 3 , December 1979 , pp. 385 - 396
Copyright
Copyright © Cambridge University Press 1979

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References

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