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Two-dimensional magnetohydrodynamic turbulence: cylindrical, non-dissipative model

Published online by Cambridge University Press:  13 March 2009

David Montgomery  and
George Vahala
David Montgomery
Affiliation:
Department of Physics, College of William and Mary, Williamburg, Virginia 23185
George Vahala
Affiliation:
Department of Physics, College of William and Mary, Williamburg, Virginia 23185
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Abstract

Incompressible magnetohydrodynamic turbulence is treated in the presence of cylindrical boundaries which are perfectly conducting and rigidly smooth. The model treated is non-dissipative and two-dimensional, the variation of all quantities in the axial direction beingignored. Equilibrium Gibbs ensemble predictions are explored assuming the constraint of constant axial current (appropriate to tokamak operation). No small-amplitude approximations are made. The expectation value of the turbulent kinetic energy is found to approach zero for the state of maximum mean-square vector potential to energy ratio. These are the only states for which large velocity fluctuations are not expected.

Type
Research Article
Information
Journal of Plasma Physics , Volume 21 , Issue 1 , February 1979 , pp. 71 - 83
Copyright
Copyright © Cambridge University Press 1979

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References

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