Electric field induced instability in the magnetosphere

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Earth Magnetosphere, Electric Fields, Propagation Modes, Whistlers, Boltzmann-Vlasov Equation, Electron Plasma, Energy Transfer, Magnetospheric Electron Density, Microwave Frequencies, Plasma Waves, Radiation Belts, Wave Propagation

Scientific paper

The dispersion relation for the whistler mode waves in an isothermal one-component electron plasma in the presence of a parallel electric field has been derived from the linearized coupled Boltzmann-Maxwell-Vlasov equation. The presence of a parallel electric field introduces a change in the zero-order distribution function through the modification of electron thermal velocity in that direction. As a result of this asymmetric energy transfer, the distribution function becomes temperature dependent and complex. Using this feature, expressions for the growth rate of instability have been derived. These results have been used to study the growth rate of whistler mode waves propagating in the magnetosphere. Their growth has been computed using the observed plasma parameters at 6.6 earth radii. The variation of growth rate along a given geomagnetic field line has also been computed, and the growth rate is found to be maximum in the equatorial magnetosphere. In the absence of the electrostatic field the growth rate relaxes to zero, which clearly indicates that in the case of isothermal magnetosplasma the growth rate is induced by the electrostatic field.

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