Electrostatic ion cyclotron instability in a plasma with q-nonextensive distributions

Abstract

The general dispersion relation for electrostatic waves in magnetized plasmas is derived using the standard linear Vlasov theory and the q-distribution of Tsallis statistics. The dispersion relation is solved for a plasma that has nonextensive electrons drifting with respect to stationary ions, and satisfies the other conditions for the excitation of electrostatic ion cyclotron waves. The frequency spectrum and growth rate are obtained for the electrostatic ion cyclotron waves. The marginally stable state is investigated for the onset of instability. It is shown that decreasing the non-extensivity parameter of electrons strengthens the instability and decreases the minimum value of the critical drift velocity, whereas larger temperature anisotropy of ions weakens the instability and increases the minimum value of the critical drift velocity.

Quasilinear dynamics of ordinary mode electromagnetic cyclotron instability driven by the interaction of rotating electron beam with magnetized plasma

“…The interaction of charged particles with plasma is employed in many experiments as a source of supplementary heating [1,2], accelerators [3,4], discharge [5] and waves generation [6,7]. In addition to applications, due to the pervasive presence of phenomena including beam-plasma interaction, the interaction between the streaming charged particles with a magnetized plasma has been an interested subject by researchers over the last few decades, especiallyin linear [8][9][10][11][12][13][14][15] and non-linear [16][17][18][19][20][21][22][23][24][25][26][27] theory. The fastest growing modes can be characterized by the linear theory.…”

Study of Electrostatic Ion-Cyclotron Waves in Magnetosphere of Uranus

“…The dielectric permittivity tensor of a magneto active current-driven plasma has been obtained by employing the kinetic theory based on the Vlasov equation and Lorentz transformation formulas with an emphasize on the q-nonextensive statistics for low frequency wave by Niknam [13]. Niyat et al [14] has solved dispersion relation for magnetized plasmas that has non-extensive electrons drifting with respect to stationary ions, and satisfies the other conditions for the excitation of electrostatic ion cyclotron waves using the standard linear Vlasov theory and q-distributions. The Electrostatic Ion Cyclotron (EIC) instability that includes the effect of wave-particle interaction has been studied owing to the free energy source through the flowing velocity of the inter-penetrating plasmas by Bashir et al [15].…”