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Momentum-space diffusion due to resonant wave–wave scattering of electromagnetic and electrostatic waves in a relativistic magnetized plasma

Published online by Cambridge University Press:  13 March 2009

R. Sugaya
R. Sugaya
Affiliation:
Department of Physics, Faculty of Science, Ehime University, Matsuyama 790, Japan
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Abstract

The momentum-space diffusion equation and the kinetic wave equation for resonant wave–wave scattering of electromagnetic and electrostatic waves in a relativistic magnetized plasma are derived from the relativistic Vlasov–Maxwell equations by perturbation theory. The p-dependent diffusion coefficient and the nonlinear wave—wave coupling coefficient are given in terms of third-order tensors which are amenable to analysis. The transport equations describing energy and momentum transfer between waves and particles are obtained by momentum-space integration of the momentum-space diffusion equation, and are expressed in terms of the nonlinear wave—wave coupling coefficient in the kinetic wave equation. The conservation laws for the total energy and momentum densities of waves and particles are verified from the kinetic wave equation and the transport equations. These equations are very useful for the theoretical analysis of transport phenomena or the acceleration and generation of high-energy or relativistic particles caused by quasi-linear and resonant wave—wave scattering processes.

Type
Research Article
Information
Journal of Plasma Physics , Volume 56 , Issue 2 , October 1996 , pp. 193 - 207
Copyright
Copyright © Cambridge University Press 1996

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References

Aizatskii, N. I. 1980 Soviet J. Plasma Phys. 6, 327.Google Scholar
Bekefi, G. 1966 Radiation Processes in Plasmas, Chap. 7. Wiley, New York.Google Scholar
Berezhiani, V. I. & Tskhakaya, D. D. 1981 Soviet J. Plasma Phys. 7, 367.Google Scholar
Bornatici, M. & Engelmann, F. 1979 Radio Sci. 14, 309.CrossRefGoogle Scholar
Brodin, G. & Stenflo, L. 1989 J. Plasma Phys. 42, 187.CrossRefGoogle Scholar
Cairns, R. A. & Lashmore-Davies, C. N. 1982 Phys. Fluids 25, 1605.CrossRefGoogle Scholar
Davidson, R. C. 1972 Methods in Nonlinear Plasma Theory, Chaps 8 and 14. Academic Press, New York.Google Scholar
Drake, J.F., Kaw, P. K., Lee, Y. C., Schmidf, G., Liu, C. S. & Rosenbluth, M. N. 1974 Phys. Fluids 17, 778.CrossRefGoogle Scholar
Granata, G. & Fidone, I. 1991 J. Plasma Phys, 45, 361.CrossRefGoogle Scholar
Kotsarenko, N. Ya. 1977 Soviel J. Plasma Phys, 3, 197.Google Scholar
Melrose, D. B. 1980 Plasma Astrophysics Vol. I, Chap. 5. Gordon and Breach, New York.Google Scholar
Miroshnichenko, B. I. 1980 Soviet J. Plasma Phys. 6, 318.Google Scholar
Mukherjee, J. & Chowdhury, R. 1994 J. Plasma Phys. 52, 55.CrossRefGoogle Scholar
Nambu, M. 1983 Laser and Particle Beans 1, 427.CrossRefGoogle Scholar
Nishikawa, K., Tsintsadze, N. L. & Watanabe, M. 1980 Soviet J. Plasma Phys. 6, 713.Google Scholar
Okazaki, T. 1980 J. Phys. Soc. Jpn 49, 1532.CrossRefGoogle Scholar
Okazaki, T. & Kato, T. 1980 J. Phys. Soc. Jpn 49, 1524.CrossRefGoogle Scholar
Papuashvili, N. A., Tsikarishvili, E. G. & Tsintsadze, N. L. 1980 Soviet J. Plasma Phys. 6, 331.Google Scholar
Papuashvili, N. A., Tsikarishvili, E. G. & Tsintsadze, N. L. 1985 Comments Plasma Phys. Contr. Fusion 27, 91.CrossRefGoogle Scholar
Porkolab, M. & Cohen, B. I. 1988 Nucl. Fusion 28, 239.CrossRefGoogle Scholar
Shukla, P. K., Pao, N. N., Yu, M. Y. & Tsintsadze, N. L. 1986 Phys. Rep. 138, 1.CrossRefGoogle Scholar
Sugaya, R. 1989 J. Phys. Soc. Jpn 58, 2794.CrossRefGoogle Scholar
Sugaya, R. 1991 a Phys. Soc. Jpn 60, 3367.CrossRefGoogle Scholar
Sugaya, R. 1991 b J. Plasma Phys. 45, 103.CrossRefGoogle Scholar
Sugaya, R. 1993 Phys. Fluids B 5, 3524.CrossRefGoogle Scholar
Sugaya, R. 1994 Phys. Plasmas 1, 2768.CrossRefGoogle Scholar
Stenflo, L. 1976 Physica Scripta 14, 320.CrossRefGoogle Scholar
Stenflo, L. & Tsintsadze, N. L. 1979 Astrophys. Space Sci. 64, 513.CrossRefGoogle Scholar
Trubnikov, B. A. 1959 Plasma Physics and the Problem of Controlled Thermonuclear Reactions, Vol. 3 (ed. Leontovich, M. A.), p. 122. Pergamon, Oxford.Google Scholar
Tsintsadze, N. L., Papuashvili, N. A., Tsikarishvili, E. C. & Stenflo, L. 1980 Physica Scripta 21, 183.CrossRefGoogle Scholar
Ziebell, L. F. & Yoon, P. H. 1995 Phys. Plasmas 2, 1285.CrossRefGoogle Scholar