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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

REFERENCES

Frisch, U., Pouquet, A., Leorat, J. & Mazure, A. 1975 J. Fluid Mech. 68, 769.CrossRefGoogle Scholar
Fyfe, D., Joyce, G. & Montgomery, D. 1977 J. Plasma Phys. 17, 317.CrossRefGoogle Scholar
Fyfe, D. & Montgomery, D. 1976 J. Plasma Phys. 16, 181.CrossRefGoogle Scholar
Fyfe, D., Montgomery, D. & Joyce, G. 1977 J. Plasma Phys. 17, 369.CrossRefGoogle Scholar
Herring, J. R., Orszag, S. A., Kraichnan, R. H. & Fox, D. G. 1974 J. Fluid Mech. 66, 417.CrossRefGoogle Scholar
Kraichnan, R. H. 1967 Phys. Fluids, 10, 1417.CrossRefGoogle Scholar
Montgomery, D., Turner, L. & Vahala, G. 1978 Phys. Fluids. 21, 316.CrossRefGoogle Scholar
Newcomb, W. A. 1960 Ann. Phys. (N.Y.), 10, 232.CrossRefGoogle Scholar
Orszag, S. A. 1971 Stud. Appi. Math. 50, 293.CrossRefGoogle Scholar
Patterson, G. S. & Orszag, S. A. 1971 Phys. Fluids, 14, 2538.CrossRefGoogle Scholar
Pouquet, A. 1978 J. Fluid Mech. 88, 1.CrossRefGoogle Scholar
Pouquet, A., Frisch, U. & Leorat, J. 1976 J. Fluid Mech. 77, 321.CrossRefGoogle Scholar
Pouquet, A. & Patterson, G. S. 1978 J. Fluid Mech. 85, 305.CrossRefGoogle Scholar
Reynolds, O. 1883 Phil. Trans. Roy. Soc. 174, 935.Google Scholar
Reynolds, O. 1886 Phil. Trans. Roy. Soc. 177, 157.Google Scholar