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Energetic ion distribution resulting from neutral beam injection in tokamaks

Published online by Cambridge University Press:  13 March 2009

John D. Gaffey Jr
John D. Gaffey Jr
Affiliation:
Center for Theoretical Physics, Department of Physics and Astronomy, University of Maryland, College Park, Maryland 20742, U.S.A. and Institute de Fisica, Universidade Federal do Rio Grande do Sul,†90.000 Porto Alegre, Brazil
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Abstract

The Fokker-Planck equation is studied for an energetic ion beam injected into a magnetized plasma consisting of Maxwellian ions and electrons with υthi ≪υb≪ υthe. The time evolution of the fast ion distribution is given in terms of an infinite sum of Legendre polynomials for distributions that are axisymmetric about the magnetic field. The effect of charge exchange is included. The resulting ion distribution is somewhat isotropic for velocities much less than the injection velocity, however, the distribution is sharply peaked in both energy and pitch angle for velocities near the injection velocity. Approximate asymptotic expressions are given for the distribution in the vicinity of the injected beam and for velocities greater than the injection velocity. The effect of a weak parallel electric field is also given.

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 2 , October 1976 , pp. 149 - 169
Copyright
Copyright © Cambridge University Press 1976

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