R.S. Pandey

Generation of Low Frequency Electromagnetic Wave by Injection of Cold Electron for Relativistic and Non- Relativistic Subtracted BI-Maxwellian Distribution with Perpendicular AC Electric Field for Magnetosphere of Uranus

Effect of cold electron beam for Whistler mode waves have been studied for relativistic and non-relativistic subtracted biMaxwellian distribution in the presence of perpendicular AC electric field to magnetic field by using the method of characteristic solutions and kinetic approach. The detailed derivation and calculations has been done for dispersion relation and growth rate for magnetosphere of Uranus. Parametric analysis has been done by changing plasma parameters: thermal velocity, ac frequency, temperature anisotropy, etc.. The effect of AC frequency on the Doppler shifting frequency and comparative study of relativistic and non-relativistic effect on growth rate are analyzed. The new results using subtracted biMaxwellian distribution function are found and discussed in relation to a bi-Maxwellian distribution function. It is seen that the effective parameters for the generation of Whistler mode wave are not only the temperature anisotropy but also the relativistic factor, AC field frequency, amplitude of subtracted distribution and width of the losscone distribution function which has been discussed in result and discussion section.

Gradient Effect on Kelvin Helmholtz Instability in the Presence of Inhomogeneous D.C. Electric Field

Kelvin-Helmoholtz instability by parallel flow velocity shear in presence of inhomogeneous d.c. electric field and perpendicular density temperature magnetic field gradient has been studied by using method of characteristic solution and kinetic approach. Effect of in homogeneity of d.c. electric field and gradient have been discussed in result. The growth rates have been calculated for different effects and showing in stabilizing and destabilizing of instability.

Study of electrostatic electron cyclotron parallel flow velocity shear instability in the magnetosphere of Saturn

In the present paper, the study of electrostatic electron cyclotron parallel flow velocity shear instability in presence of perpendicular inhomogeneous DC electric field has been carried out in the magnetosphere of Saturn. Dimensionless growth rate variation of electron cyclotron waves has been observed with respect to k⊥ ρe for various plasma parameters. Effect of velocity shear scale length (Ae), inhomogeneity (P/a), the ratio of ion to electron temperature (Ti/Te) and density gradient (enρe) on the growth of electron cyclotron waves in the inner magnetosphere of Saturn has been studied and analyzed. The mathematical formulation and computation of dispersion relation and growth rate have been done by using the method of characteristic solution and kinetic approach. This theoretical analysis has been done taking the relevant data from the Cassini spacecraft in the inner magnetosphere of Saturn. We have considered ambient magnetic field data and other relevant data for this study at the radial distance of ∼4.82-5.00 Rs. In our study velocity shear and ion to electron temperature ratio have been observed to be the major sources of free energy for the electron cyclotron instability. The inhomogeneity of electric field caused a small noticeable impact on the growth rate of electrostatic electron cyclotron instability. Density gradient has been observed playing stabilizing effect on electron cyclotron instability.In the present paper, the study of electrostatic electron cyclotron parallel flow velocity shear instability in presence of perpendicular inhomogeneous DC electric field has been carried out in the magnetosphere of Saturn. Dimensionless growth rate variation of electron cyclotron waves has been observed with respect to k⊥ ρe for various plasma parameters. Effect of velocity shear scale length (Ae), inhomogeneity (P/a), the ratio of ion to electron temperature (Ti/Te) and density gradient (enρe) on the growth of electron cyclotron waves in the inner magnetosphere of Saturn has been studied and analyzed. The mathematical formulation and computation of dispersion relation and growth rate have been done by using the method of characteristic solution and kinetic approach. This theoretical analysis has been done taking the relevant data from the Cassini spacecraft in the inner magnetosphere of Saturn. We have considered ambient magnetic field data and other relevant data for this study at the radial distance of...

Study of low frequency emission by injection of hot electron beam in the magnetosphere of Uranus

The dispersion relation and growth rate for whistler mode instability in an infinite Uranian bow shock region in the presence of a perpendicular AC field for loss-cone type of distribution function for temperature anisotropy is obtained. The derivation for perturbed distribution function, dispersion relation and growth rate for various strength of loss-cone index have been determined by using the method of characteristic and kinetic approach. The effect of injection of hot energetic electrons of solar wind origin having positive slope and loss-cone index j=1 have been evaluated. Injection of higher number of energetic hot electrons affect growth rate significantly. Also, effect of AC frequency on the growth rate has been studied. This result is of importance in observing VLF emissions over wide frequency range in magnetosphere of Uranus. The result is in contrast to data from magnetoplasma and cold plasma injection results.

Parallel Flow Velocity Shear Kelvin Helmholtz Instability with AC Electric Field

Electrostatic velocity shear Kelvin-Helmholtz instability has been studied for bi-Maxwellian plasma in the presence of perpendicular a.c. electric field by using the method of characteristic solution. The effects of a.c. electric field temperature variation, velocity shear scale length,electron ion temperature ratio and other parameters on growth rate have been discussed.