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Kinetic description of linear theta-pinch equilibria

Published online by Cambridge University Press:  13 March 2009

D. B. Batchelor  and
R. C. Davidson
D. B. Batchelor
Affiliation:
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
R. C. Davidson
Affiliation:
Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742
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Abstract

Equilibrium properties of linear theta-pinch plasmas are studied within the framework of the steady-state (∂ / ∂ t = 0) Vlasov– Maxwell equations. The analysis is carried out for an infinitely long plasma column aligned parallel to an externally applied axial magnetic field Bzext ê 2. Equilibrium properties are calculated for the class of rigid-rotor Vlasov equilibria, in which the jth component distribution function f j(H⊥, Pθ, υ 2) depends on perpendicular energy H⊥ and canonical angular momentum Pθ, exclusively through the linear combination H⊥ – ω jPθ, where ω j = const. = angular velocity of mean rotation. General equilibrium relations that pertain to the entire class of rigid-rotor Vlasov equilibria are discussed; and specific examples of sharp- and diffuse-boundary equilibrium configurations are considered. Rigid-rotor density and magnetic field profiles are compared with experimentally observed profiles. A general prescription is given for determining the functional dependence of the equilibrium distribution function on H⊥−ωjPθg in circumstances, where the density profile or magnetic field profile is specified.

Type
Research Article
Information
Journal of Plasma Physics , Volume 14 , Issue 1 , August 1975 , pp. 77 - 92
Copyright
Copyright © Cambridge University Press 1975

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References

REFERENCES

Bodin, H. A. & Newton, A. A. 1963 Phys. Fluids, 6, 1338.CrossRefGoogle Scholar
De Silva, A. W. & Kunze, H. J. 1968 J. Appl. Phys. 38, 2458.CrossRefGoogle Scholar
Davidson, R. C. 1974 Theory of Non-neutral Plasmas. Benjamin.Google Scholar
Davidson, R. C., Drobot, A. T. & Kapetanakos, C. A. 1973 Phys. Fluids, 16, 2199.CrossRefGoogle Scholar
Davidson, R. C. & Krall, N. A. 1970 Phys. Fluids, 16, 2199.CrossRefGoogle Scholar
Davidson, R. C. & Lawson, J. D. 1972 Particle Accelerators, 4, 1.Google Scholar
Freidberg, J. P. 1972 Phys. Fluids, 15, 1102.CrossRefGoogle Scholar
Freidberg, J. P. & Morse, R. L. 1969 Phys. Fluids, 12, 887.CrossRefGoogle Scholar
Griem, H. R., Kolb, A. C., Lipton, W. H. & Phillips, D. T. 1962 Nucl. Fusion Suppl. 2, 543.Google Scholar
Hammer, D. A. & Rostoker, N. 1970 Phys. Fluids, 13, 1831.CrossRefGoogle Scholar
Little, E. M., Quinn, W. E., Ribe, F. L. & Sawyer, G. A. 1962 Nucl. Fusion Suppl. 2, 97.Google Scholar
Morse, R. L. & Freidberg, J. P. 1970 Phys. Fluids, 13, 531.Google Scholar