Dispersion Relations and Polarizations of Low-frequency Waves in Two-fluid Plasmas

Abstract

Analytical expressions for the dispersion relations and polarizations of low-frequency waves in magnetized plasmas based on two-fluid model are obtained. The properties of waves propagating at different angles (to the ambient magnetic field ${\mathbf{B}}_0$) and β(the ratio of the plasma to magnetic pressures) values are investigated. It is shown that two linearly polarized waves, namely the fast and Alfvén modes in the low-β$\left(\beta \ll 1\right)$ plasmas, the fast and slow modes in the β\sim 1 plasmas, and the Alfvén and slow modes in the high-β$\left(\beta \gg 1\right)$ plasmas, become circularly polarized at the near-parallel (to ${\mathbf{B}}_0$) propagation. The negative magnetic-helicity of the Alfvén mode occurs only at small or moderate angles in the low-βplasmas, and the ion cross-helicity of the slow mode is nearly the same as that of the Alfvén mode in the high-βplasmas. It also shown the electric polarization $\delta E_z/\delta E_y$ decreases with the temperature ratio $T_e/T_i$ for the long-wavelength waves, and the transition between left- and right-hand polarizations of the Alfvén mode in $T_e/T_i\ne 0$ plasmas can disappear when $T_e/T_i=0$. The approximate dispersion relations in the near-perpendicular propagation, low-β, and high-βlimits can quite accurately describe the three modes.

16 pages, 6 figures. Code for figure 2 is included

References in corpus (2)

• The Dispersion Relations and Instability Thresholds of Oblique Plasma Modes in the Presence of an Ion Beam
• Properties of Short-wavelength Oblique Alfven and Slow Waves

Cited by in corpus (2)

• A two-fluid analysis of waves in a warm ion-electron plasma
• Two-fluid treatment of whistling behaviour and the warm Appleton-Hartree extension