Abstract
In this paper, I outline the solution of Vlasov-Maxwell’s equations with given initial conditions. When transients have died out, the temporal evolution of each spatial Fourier component is completely determined by a dispersion relation. I derive the electrostatic dispersion relation and discuss the resonant interaction between particles and electrostatic waves. A new derivation of the wave energy density in a plasma with arbitary dissipation is given. The numerical solution of the dispersion relation of waves in a Maxwellian plasma is discussed, and finally I show some examples of numerically evaluated dispersion surfaces.
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References
André, M., ‘Dispersion surfaces’, J. Plasma Phys., in press, 1985.
Akhiezer, A.I., A.I. Akhiezer, R. V. Polovin, A.G. Sitenko, and K.N. Stephanov, Plasma electrodynamics, Pergamon Press, Oxford, 1975.
Chen, F.F., Plasma physics and controlled fusion, Plenum Press, New York, 1984.
Fredricks, R.W., J Plasma Phys., 2, 197, 1968.
Fried, B.D., and S.D. Conte, The plasma dispersion function, Academic Press, New York, 1961.
Ginzburg, V.L., The propagation of electromagnetic waves in plasmas, Pergamon Press, Oxford, 1970.
Ichimaru, S., Basic principles of plasma physics, Benjamin, Reading, Massachusetts, 1973.
Ishida, A., J. Phys. Soc. Japan, 41., 292, 1976.
Karpman, V.I., Ju.K. Alekhin, N.D. Borisov, and N.A. Rajabova, Astrophys. Space Sci., 22, 267, 1973.
Kruscha, K.J.G., and A.N. Kondratenko, Beitr. Plasmaphys., 23, 105, 1983.
Landau, L.D., and E.M. Lifshitz, Electrodynamics of continuous media, Pergamon Press, Oxford, 1960.
Martín, P., and M.A. Gonzáles, Phys. Fluids, 22, 1413, 1979.
Martín, P., G. Donoso, and J. Zamudio-Christi, J. Math. Phys., 21, 280, 1980.
Németh, G., Á. Á g, and Gy. Páris, J. Math. Phys., 22, 1192, 1981.
Rönnmark, K., TWHAMP-Waves in Homogeneous, Anisotropic, Multicomponent Plasmas1, KGI report 179, 1982.
Rönnmark, K., Plasma Phys., 25, 699, 1983.
Schmitt, J.P.M., J. Plasma Phys., 12, 51, 1974.
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© 1985 D. Reidel Publishing Company
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Rönnmark, K.G. (1985). Kinetic Theory of Plasma Waves. In: Ashour-Abdalla, M., Dutton, D.A. (eds) Space Plasma Simulations. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-5454-0_25
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DOI: https://doi.org/10.1007/978-94-009-5454-0_25
Publisher Name: Springer, Dordrecht
Print ISBN: 978-94-010-8909-8
Online ISBN: 978-94-009-5454-0
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