Electromagnetic ion-cyclotron wave growth rates and their variation with velocity distribution function shape

Details Electromagnetic ion-cyclotron wave growth rates and their variation with velocity distribution function shape Electromagnetic ion-cyclotron wave growth rates and their variation with velocity distribution function shape

Feb 1977

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1977jplph..17..123a&link_type=abstract

Journal of Plasma Physics, vol. 17, Feb. 1977, p. 123-131. ERDA-sponsored research.

Physics

Plasma Physics

23

Ion Cyclotron Radiation, Magnetohydrodynamic Stability, Plasma-Electromagnetic Interaction, Solar Wind, Cold Plasmas, Solar Protons, Velocity Distribution, Wave Excitation

Scientific paper

The sensitivity of electromagnetic ion-cyclotron instability growth rates in a plasma consisting of hot and cold protons plus cold electrons to details of the shape of proton velocity distributions is investigated. A superposition bi-Lorentzian and a product bi-Lorentzian whose shapes are varied through the parameter p are adopted to represent variations in the shape of the velocity distribution functions. Dispersion relations with the bi-Lorentzians are derived for ion-cyclotron waves having their wave vector parallel to a uniform magnetic field, and numerical results are obtained for the growth rates. These results show that the growth rates calculated using each of the shapes depend on the velocity moments of the different distributions in a similar way but their magnitudes vary considerably. It is found that the superposition bi-Lorentzian for low values of p generally has a growth rate lower than that for higher p values, while the opposite dependence holds for the product bi-Lorentzian.

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