Abstract:
Kinetic Plasma instabilities are important for regulating the temperature anisotropies of
electrons and ions in the solar wind. The plasma compression generates the perpendicular
anisotropy, T┴ >Tll, which leads the mirror instability for high beta situation but for low beta
regime the electromagnetic ion/electron cyclotron (EMIC/EMEC) instabilities. The said unstable
modes including electrons are simplified and reduced quasi linear kinetic theory with assumption
of bi-Maxwellian velocity distribution function. For mirror mode instability, the linear growth
rate of electron mirror mode can be much higher than the proton mirror mode and electron part
operates over a range of unstable wave numbers that is much broader than proton part. But in
quasi linear analysis, high initial growth rate does not necessarily imply dynamical importance,
the saturated magnetic field intensity associated with electrons is extremely low and that the
influence on the particle temperature is minimal. The EMIC/EMEC instabilities are taken into
account with parallel propagation in two dimensions. The present manuscript extends the
analysis to two (or with cylindrical symmetry, three) dimensions. The analysis is further
extended to include quasilinear description with the assumption of bi-Maxwellian velocity
distribution function. Such an analysis lays the foundation for eventual study in which cyclotron
instabilities as well as obliquely propagating unstable modes such as the mirror instability are
simultaneously taken into account.
