Computer Science – Numerical Analysis
Scientific paper
Jun 1977
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977p%26ss...25..573k&link_type=abstract
Planetary and Space Science, vol. 25, June 1977, p. 573-585.
Computer Science
Numerical Analysis
15
Earth Magnetosphere, Extremely Low Radio Frequencies, Magnetically Trapped Particles, Radiation Belts, Resonance Scattering, Wave Propagation, Damping, Drift Rate, Integral Equations, Kinetic Equations, Larmor Precession, Numerical Analysis
Scientific paper
Expressions for ULF-wave growth rates are obtained by consistent study of the bounce and drift motions of geomagnetically trapped particles. Different cases depending on the relative values of bounce, drift, and wave frequencies are examined. It is shown that the growth (damping) rate as a function of wave frequency has an oscillatory character with maxima associated with an averaged bounce frequency. The instability conditions are investigated. For wave frequencies exceeding the Larmor drift frequency, the instability appears if the derivative function with respect to energy is positive over a sufficient period. If, however, the wave frequency is less than an effective Larmor drift frequency, the instability is possible even if this derivative is everywhere negative.
Karpman V. I.
Meerson B. I.
Mikhaĭlovskiĭ A. B.
Pokhotelov Oleg A.
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