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Dissipation of Langmuir waves in the process of their nonlinear conversion into electromagnetic waves

Published online by Cambridge University Press:  23 March 2015

Vasily I. Erofeev
Vasily I. Erofeev*
Affiliation:
Laboratory of Nonlinear Physics, Institute of Automation & Electrometry, Russian Academy of Sciences, 1 Koptyug Prosp., Novosibirsk, 630090, Russia Novosibirsk State University, 2 Pirogova Str., Novosibirsk, 630090, Russia
*
†Email address for correspondence: [email protected]
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Abstract

A new equation for the kinetics of nonlinear conversion of Langmuir waves to electromagnetic waves is developed. Based on this, the former vision of Langmuir turbulence energy thermalization via stochastic plasma electron acceleration (Erofeev 2010 J. Fusion Energy29, 337) is adapted to weakly turbulent plasmas in which this three-wave process occurs. Respective analysis of wave energy dissipation is extended to account for previously unrecognized terms in the kinetics of plasma electrons. It is stated that, cumulatively, these terms do not lead to substantial changes in the picture of Langmuir turbulence dissipation in the corresponding nonlinear plasma.

Type
Research Article
Information
Journal of Plasma Physics , Volume 81 , Issue 3 , June 2015 , 905810322
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Copyright
Copyright © Cambridge University Press 2015 

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References

REFERENCES

Akhiezer, I. A., Danelia, I. A. and Tsintsadze, N. L. 1964 Theory of transformation and scattering of electromagnetic waves in a nonequilibrium plasma. Sov. Phys. JETP 19, 208.Google Scholar
Al'tshul', L. M. and Karpman, V. I. 1965 The kinetics of waves in a weakly turbulent plasma. Sov. Phys. JETP 20 (4), 1043–1056.Google Scholar
Dupree, T. H. 1963 Kinetic theory of plasma and the electromagnetic field. Phys. Fluids 6, 1714–1729.CrossRefGoogle Scholar
Erofeev, V. 2011a High-Informative Plasma Theory. Saarbrücken: LAP.Google Scholar
Erofeev, V. I. 1997 Derivation of an equation for three-wave interactions based on the Klimontovich–Dupree equation. J. Plasma Phys. 57 (2), 273–298.CrossRefGoogle Scholar
Erofeev, V. I. 2000 Langmuir wave scattering induced by electrons in a single collisionless plasma. J. Fusion Energy 19 (2), 99–113.CrossRefGoogle Scholar
Erofeev, V. I. 2002 Collisionless dissipation of Langmuir turbulence. Phys. Plasmas 9 (4), 1137–1149.CrossRefGoogle Scholar
Erofeev, V. I. 2003 Influence of Langmuir turbulence on plasma electron distribution during the induced wave scattering. J. Fusion Energy 22 (4), 259–275.CrossRefGoogle Scholar
Erofeev, V. I. 2004a Derivation of an evolution equation for two-time correlation function. J. Plasma Phys. 70 (3), 251–270.CrossRefGoogle Scholar
Erofeev, V. I. 2004b Impossibility of Vedenov–Rudakov's plasma modulational instability as one more illustration of the inappropriateness of the recipes of nonequilibrium statistical mechanics. Phys. Plasmas 11 (6), 3284–3295.CrossRefGoogle Scholar
Erofeev, V. I. 2009 Key ideas for heightening the informativeness of plasma physical theorizing. J. Plasma Fusion Res. Ser. 8, 59–64.Google Scholar
Erofeev, V. I. 2010 Thermalization of Langmuir wave energy via the stochastic plasma electron acceleration. J. Fusion Energy. 29, 337–346.CrossRefGoogle Scholar
Erofeev, V. I. 2011b A decay of Langmuir wave quanta in their scatter by plasma electrons. J. Fusion Energy 30, 157–168.CrossRefGoogle Scholar
Erofeev, V. I. 2011c High-informative theorizing in plasma physics: basic principles and importance for researches on beam-plasma heating, plasma confinement and transport phenomena. Fusion Sci. Technol. 59 (1T), 316–319.CrossRefGoogle Scholar
Erofeev, V. I. 2014 High-informative version of nonlinear transformation of Langmuir waves to electromagnetic waves. J. Plasma Phys. 80, 289–318.CrossRefGoogle Scholar
Galeev, A. A. and Karpman, V. N. 1963 A turbulent theory of veakly unequilibrium plasma and the structure of shock waves. Sov. Phys. JETP 17, 403.Google Scholar
Klimontovich, Yu. L. 1958 On the Method of ‘Second quantization’ in phase space. Sov. Phys. JETP 6, 753.Google Scholar
Klimontovich, Yu. L. 1967 The Statistical Theory of Nonequilibrium Processes in a Plasma. Cambridge, MA: MIT Press.Google Scholar
Kovrizhnykh, L. M. 1965 On the theory of a turbulent plasma. Sov. Phys. JETP 21 (4), 744–755.Google Scholar
Landau, L. D. 1946 On the vibrations of the electronic plasma. J. Phys. (U.S.S.R.) 10, 25–34.Google Scholar
Sagdeev, R. Z. and Galeev, A. A. 1969 Nonlinear Plasma Theory, (ed. O'Neil, T. M. and Book, D. L.). New York: Benjamin.Google Scholar
Terashima, Y. and Yajima, N. 1963 Radiation by plasma waves in a homogeneous plasma. Prog. Theor. Phys. 30, 443–459.CrossRefGoogle Scholar
Tsytovich, V. N. 1967 Nonlinear effects in a plasma. Sov. Phys. Usp. 9, 805–836.CrossRefGoogle Scholar
Vlasov, A. A. 1945 On the kinetic theory of an assembly of particles with collective interaction. J. Phys. (U.S.S.R.) 9 (1), 25–40.Google Scholar