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Empirical versus exact numerical quasilinear analysis of electromagnetic instabilities driven by temperature anisotropy

Published online by Cambridge University Press:  29 September 2011

PETER H. YOON ,
JUNG JOON SEOUGH ,
KHAN HYUK KIM  and
DONG HUN LEE
PETER H. YOON
Affiliation:
School of Space Research, Kyung Hee University, Yongin-Si, Gyeonggi-Do, 446-701, South Korea ([email protected]) Institute for Physical Science and Technology, University of Maryland, College Park, MD 20742, USA
JUNG JOON SEOUGH
Affiliation:
School of Space Research, Kyung Hee University, Yongin-Si, Gyeonggi-Do, 446-701, South Korea ([email protected])
KHAN HYUK KIM
Affiliation:
School of Space Research, Kyung Hee University, Yongin-Si, Gyeonggi-Do, 446-701, South Korea ([email protected])
DONG HUN LEE
Affiliation:
School of Space Research, Kyung Hee University, Yongin-Si, Gyeonggi-Do, 446-701, South Korea ([email protected])
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Abstract

In the present paper, quasilinear development of anisotropy-driven electromagnetic instabilities is computed on the basis of recently formulated empirical wave dispersion relation and compared against exact numerical calculation based upon transcendental plasma dispersion function and exact numerical roots. Upon comparison with the exact method it is demonstrated that the empirical model provides reasonable results. The present findings may be relevant to space physical application, as the present paper provides a useful short-cut research method for self-consistent analysis of temporal development of anisotropy-driven instabilities.

Type
Papers
Information
Journal of Plasma Physics , Volume 78 , Issue 1 , February 2012 , pp. 47 - 54
Copyright
Copyright © Cambridge University Press 2011

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References

Albert, J. M. 2005 Evaluation of quasi-linear diffusion coefficients for whistler mode waves in a plasma with arbitrary density ratio. J. Geophys. Res. 110, A03218.Google Scholar
Cuperman, S., Gomberoff, N. L. and Sternlieb, A. 1975 Absolute maximum growth rates and enhancement of unstable electromagnetic ion-cyclotron waves in mixed warm-cold plasmas. J. Plasma Phys. 13, 259.CrossRefGoogle Scholar
Davidson, R. C. and Ogden, J. M. 1975 Electromagnetic ion cyclotron instability driven by ion energy anisotropy in high-beta plasmas. Phys. Fluids 18, 1045.CrossRefGoogle Scholar
Glaubert, S. A. and Horne, R. B. 2005 Calculation of pitch angle and energy diffusion coefficients with the PADIE code. J. Geophys. Res. 110, A04206.Google Scholar
Kennel, C. F. and Petschek, H. E. 1966 Limit on stably trapped particle flux. J. Geophys. Res. 71, 1.CrossRefGoogle Scholar
Krall, N. A. and Trivelpiece, A. W. 1973 Principles of Plasma Physics. New York, NY: McGraw-Hill.CrossRefGoogle Scholar
Lui, A. T. Y., McEntire, R. W. and Krimigis, S. M. 1987 Evolution of the ring current during two geomagnetic storms. J. Geophys. Res. 92, 7459.CrossRefGoogle Scholar
Lyons, L. R., Thorne, R. M. and Kennel, C. F. 1972 Pitch-angle diffusion of radiation belt electrons within the plasmasphere. J. Geophys. Res. 77, 3455.CrossRefGoogle Scholar
Schulz, M. and Lanzerotti, L. J. 1974 Particle Diffusion in the Radiation Belts, Physics and Chemistry in Space, Vol. 7. New York: Springer-Verlag.CrossRefGoogle Scholar
Seough, J. J. and Yoon, P. H. 2009 Analytic models of warm plasma dispersion relations. Phys. Plasmas 16, 092103.CrossRefGoogle Scholar
Summers, D. 2005 Quasi-linear diffusion coefficients for field-aligned electromagnetic waves with applications to the magnetosphere. J. Geophys. Res. 110, A08213.Google Scholar
Summers, D. and Ma, C. 2000 A model for generating relativistic electrons in the Earth's inner magnetosphere based on gyroresonant wave-particle interactions. J. Geophys. Res. 105, 2625.CrossRefGoogle Scholar
Summers, D. and Thorne, R. M. 2003 Relativistic electron pitch-angle scattering by electromagnetic ion cyclotron waves during geomagnetic storms. J. Geophys. Res. 108 (A4), 1143.Google Scholar
Summers, D., Ni, B. and Meredith, N. P. 2007 Timescales for radiation belt electron acceleration and loss due to resonant wave-particle interactions: 1. Theory. J. Geophys. Res. 112, A04206, A04207.Google Scholar
Xiao, F. 2006 Modelling energetic particles by a relativistic kappa-loss-cone distribution function in plasmas. Plasma Phys. Control. Fusion 48, 203.CrossRefGoogle Scholar
Xiao, F., Zhou, Q., Zheng, H. and Wang, S. 2006 Whistler instability threshold condition of energetic electrons by kappa distribution in space plasmas. J. Geophys. Res. 111, A08208.Google Scholar
Xiao, F., Zhou, Q., He, H., Zheng, H. and Wang, S. 2007 Electromagnetic ion cyclotron waves instability threshold condition of suprathermal protons by kappa distribution. J. Geophys. Res. 112, A07219.Google Scholar
Yoon, P. H. 1992 Quasilinear evolution of Alfvén-ion-cyclotron and mirror instabilities driven by ion temperature anisotropy. Phys. Fluids B 4, 3627.CrossRefGoogle Scholar
Yoon, P. H., Seough, J. J., Khim, K. K., Kim, H., Kwon, H.-J., Park, J., Parkh, S. and Park, K. S. 2010 Analytic model of electromagnetic ion-cyclotron anisotropy instability. Phys. Plasmas 17, 082111.CrossRefGoogle Scholar
Yoon, P. H., Seough, J. J., Lee, J., An, J. and Lee, J. O. in press Empirical model of whistler anisotropy instability. Phys. Plasmas (submitted).Google Scholar