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Kinetic theory of the evolution of collective plasma excitations in an external electric field

Published online by Cambridge University Press:  13 March 2009

R. Balescu  and
I. Paiva-Veretennicoff
R. Balescu
Affiliation:
Faculté des Sciences, Université Libre de Bruxelles, Association Euratom-Etat Belge, 1050 Bruxelles, Belgium
I. Paiva-Veretennicoff
Affiliation:
Fakulteit van de Wetenschappen, Vrije Universiteit Brussel 1050 Brussel, Belgium
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Abstract

The kinetic theory of a plasma is developed on the basis of a normal mode analysis-In the absence of any external field, the system approaches a ‘plasmadynamical (PD) state’, described by fourteen amplitudes of the PD modes. The corresponding eigenvalues and eigenvectors are constructed explicitly. When an external time-dependent electric field is switched on, transitions between these modes determine the evolution of the plasma. Assuming that a PD regime is valid, the kinetic equations reduce to a set of equations describing parametric effects and nonlinear mode-mode couplings. A new source term, arising from the interference between collisions and external field, also appears. Some qualitative implications are discussed.

Type
Research Article
Information
Journal of Plasma Physics , Volume 16 , Issue 2 , October 1976 , pp. 129 - 148
Copyright
Copyright © Cambridge University Press 1976

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References

REFERENCES

Balescu, R. 1975 Equilibrium and Nonequilibrium Statistical Mechanics. Wiley.Google Scholar
Balescu, R. & Misguich, J. H. 1974 J. Plasma Phys. 11, 357 and 377.CrossRefGoogle Scholar
Balescu, R. & Paiva-Veretennicoff, I. 1976 a J. Plasma Phys. 16, 119.CrossRefGoogle Scholar
Balescu, R. & Paiva-Veretennicoff, I. 1976 b J. Plasma Phys. (in the Press).Google Scholar
Balescu, R., Paiva-Veretennicoff, I. & Brenig, L. 1973 Bull. Cl. Sciences, Acad. Roy. Belg. 59, 812.Google Scholar
Balescu, R., Paiva-Veretennicoff, I. & Brenig, L. 1975 Physica, 81, 17.CrossRefGoogle Scholar
Balescu, R. & Poulain, M. 1974 Physica, 76, 421.CrossRefGoogle Scholar
Baus, M. 1975 Physica, 79 A, 377.CrossRefGoogle Scholar
Bona, G. Di & Masselot, C. 1972 Nuovo Cim. B12, 256.CrossRefGoogle Scholar
Bona, G. Di & Masselot, C. 1973 Nuovo Cim. B13, 131.Google Scholar
Bona, G. Di & Masselot, C. 1975 Physica 79B, 259.Google Scholar
Braginsky, S. I. 1963 Voprossy Teorii Plazmy, vol. 1, Gosatomizdat, Moscow. (English transl., Reviews of Plasma Physics, Consultants Bureau, N.Y. 1965.)Google Scholar
Brueckner, K. A. & Jorna, S. 1974 Rev. Mod. Phys. 46, 325.CrossRefGoogle Scholar
Dubois, D. F. & Goldman, M. V. 1967 Phys. Rev. 164, 207.CrossRefGoogle Scholar
Jackson, E. A. 1967 Phys. Rev. 153, 235.CrossRefGoogle Scholar
Klimontovich, Iu. L. 1975 Kinetic Theory of Non-ideal Gases and Non-ideal Plasmas (in Russian). Nauka, Moscow.Google Scholar
Krall, N. A. & Trivelpiece, A. W. 1973 Principles of Plasma Physics. McGraw-Hill.CrossRefGoogle Scholar
Kuszell, A. & Senatorski, A. 1968 Physica, 40, 453.CrossRefGoogle Scholar
Kuszell, A. & Senatorski, A. 1969 Physica, 42, 587.CrossRefGoogle Scholar
Lashmore-Davies, C. N. 1975 Plasma Phys. 17, 281.CrossRefGoogle Scholar
Lenard, A. & Bernstein, I. 1958 Phys. Rev. 112, 1456.CrossRefGoogle Scholar
Mallozzi, P. J. & Margenau, H. 1966 Ann. Phys. 38, 177.CrossRefGoogle Scholar
Mangeney, A. 1964 Physica, 30, 461.CrossRefGoogle Scholar
Nishikawa, K. 1968 J. Phys. Soc. Japan, 24, 916, 1152.CrossRefGoogle Scholar
Oberman, C., Ron, A. & Dawson, J. 1962 Phys. Fluids, 5, 1514.CrossRefGoogle Scholar
Resibois, P. 1970 J. Statist. Phys. 2, 21.Google Scholar
Sanmabtin, J. R. 1970 Phys. Fluids, 13, 1533.CrossRefGoogle Scholar
Severne, G. 1964 Physica, 30, 1365.CrossRefGoogle Scholar
Silin, V. P. 1960 Sov. Phys. JETP, 11, 1272.Google Scholar
Silin, V. P. 1962 Sov. Phys. JETP, 14, 617.Google Scholar
Silin, V. P. 1965 Sov. Phys. JETP, 20, 1510.Google Scholar
Silin, V. P. 1965 Sov. Phys. JETP, 21, 1127.Google Scholar
Spitzer, L. Jr & Härm, R. 1953 Phys. Rev. 89, 977.CrossRefGoogle Scholar
Stenflo, L. 1970 Plasma Phys. 12, 509.CrossRefGoogle Scholar
Thomson, J. J., Faehl, R. J., Kruer, W. L. & Bodner, S. 1973 Lawrence. Livermore Lab. Report 74, 945.Google Scholar
Vasu, G. & Resibois, P. 1973 Physica, 63, 209.CrossRefGoogle Scholar
Wilcox, R. M. 1967 J. Math. Phys. 8, 962.CrossRefGoogle Scholar