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A numerical solution of the kinetic equations for a spectrum of Langmuir turbulence

Published online by Cambridge University Press:  13 March 2009

Denis Hayward
Denis Hayward
Affiliation:
Max-Planck-Institut für Aeronomie, D-3411 Katlenburg-Lindau 3, Federal Republic of, Germany
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Abstract

The main properties of a kinetic wave equation in an isothermal plasma, Te ≈ Ti, are discussed and a quick method of numerical solution based on factorization of the kernel of an integral equation is outlined. As an illustration the method is applied to the problem of plasma heating with a relativistic electron beam and it is shown how the evolution of a spectrum of Langmuir turbulence is the principal contributor to the heating of the plasma. The technique allows an estimate of the error which is present in the stationary solution, and this is made in the final section.

Type
Research Article
Information
Journal of Plasma Physics , Volume 31 , Issue 2 , April 1984 , pp. 253 - 261
Copyright
Copyright © Cambridge University Press 1984

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References

REFERENCES

Breizman, B. N., Zakharov, V. E. & Musher, S. L. 1973 J. Exp. Theor. Phys. 64, 1297.Google Scholar
Musher, S. L., Rybak, I. YA. & Sturman, B. I. 1979 Fizika Plazmi, 5, 58.Google Scholar
Potter, D. E. 1973 Computational Physics. Wiley-Intersoience.Google Scholar
Valeo, E. J. & Kruer, W. L. 1973 Phys. Fluids, 16, 675.Google Scholar
Valeo, E. J., Oberman, C. & Perkins, F. W. 1972 Phys. Rev. Lett. 28, 340.CrossRefGoogle Scholar
Zakharov, V. E., Musher, S. L. & Rubentchic, A. M. 1975 J. Exp. Theor. Phys. 69, 155.Google Scholar