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Nonlinear interaction between a resonance-mode (k∥=0) wave and energetic plasma particles

Published online by Cambridge University Press:  01 June 2009

DAVID R. SHKLYAR
DAVID R. SHKLYAR*
Affiliation:
Space Research Institute, Russian Academy of Sciences, Moscow, Russia (david@iki.rssi.ru)
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Abstract

Nonlinear resonant interaction between energetic particles and quasi-electrostatic wave propagating perpendicularly to the ambient magnetic field in a homogeneous plasma is studied in detail, with the main focus on the wave amplification or attenuation caused by resonant interaction. As for k∥ → 0, resonance velocity determined from linear resonance conditions tends to infinity, the interaction under discussion is a completely nonlinear phenomenon. While the wave amplitude may increase or decrease depending on the wave parameters and integral characteristics of the energetic particle distribution function, an essential wave amplification may occur when the wave frequency is close to a multiple of cyclotron harmonic, and when the transversal energy of resonant particles is large enough.

Type
Papers
Information
Journal of Plasma Physics , Volume 75 , Issue 3 , June 2009 , pp. 319 - 335
Copyright
Copyright © Cambridge University Press 2008

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References

Al'tshul, L. M. and Karpman, V. I. 1965 Sov. Phys. JETP 49, 515.Google Scholar
Blake, J. B., Looper, M. D., Baker, D. N., Nakamura, R., Kleker, B. and Hovestadt, D. 1996 New high temporal and spatial resolution measurements by SAMPEX of the precipitation of relativistic electrons. Adv. Space Res. 18, 171.CrossRefGoogle Scholar
Chirikov, B. V. 1979 Phys. Rep. 52, 263.CrossRefGoogle Scholar
Gell, Y. and Nakach, R. 1980 Stochastic ion heating by an electrostatic wave in a sheared magnetic field. Phys. Fluids 23, 1646.CrossRefGoogle Scholar
Ginzburg, V. L. and Rukhadze, A. A. 1972 Waves in Magnetoactive Plasma (Handbuch der Physik, 49(IV)) (ed. Flügge, S.), p. 395. Berlin: Springer Verlag.Google Scholar
Gurnett, D. A. and Bhattacharjee, A. 2005 Introduction to Plasma Physics. Cambridge: Cambridge University Press.CrossRefGoogle Scholar
Karney, C. F. F. 1978 Stochastic ion heating by a lower hybrid wave. Phys. Fluids 21, 1584.CrossRefGoogle Scholar
Karney, C. F. F. 1979 Stochastic ion heating by a lower hybrid wave: II. Phys. Fluids 22, 2188.CrossRefGoogle Scholar
Kurth, W. S., Craven, J. D., Frank, L. A. and Gurnett, D. A. 1979 Intense electrostatic waves near the upper hybrid resonance frequency. J. Geophys. Res. 84, 4145.CrossRefGoogle Scholar
Mazitov, R. K. 1965 On the damping of plasma waves. Appl. Math. Technical Phys. (PMTF) 1, 27–31 (in Russian).Google Scholar
Nakamura, R., Isowa, M., Kamide, Y., Baker, D. N., Blake, J. B. and Looper, M. 2000 SAMPEX observations of precipitation bursts in the outer radiation belt J. Geophys. Res. 105, 15 875.CrossRefGoogle Scholar
O'Neil, T. M. 1965 Collisionless damping of nonlinear plasma oscillations. Phys. Fluids 8, 2255–2262.CrossRefGoogle Scholar
Ryabova, N. A. and Shklyar, D. R. 1983 Stochastic behavior in presence of an electrostatic wave due to the crossing of multiple cyclotron resonances in an inhomogeneous magnetic field. Phys. Lett. A 97, 194.CrossRefGoogle Scholar
Shafranov, V. D. 1967 Reviews of Plasma Physics, Vol. 3. New York: Consultant Bureau.Google Scholar
Shklyar, D. R. 1986 Particle interaction with an electrostatic VLF wave in the magnetosphere with an application to proton precipitation. Planet. Space Sci. 34, 1091.CrossRefGoogle Scholar
Shklyar, D. R. and Kliem, B. 2006 Relativistic electron scattering by electrostatic upper hybrid waves in the radiation belt. J. Geophys. Res. 111, A06204, doi:10.1029/2005JA011345.Google Scholar
Tataronis, J. A. and Crawford, F. W. 1970 Cyclotron harmonic wave propagation and instabilities, I. Perpendicular propagation. J. Plasma Phys. 4, 231–248.CrossRefGoogle Scholar