Linear Theory of Collision-Induced Instability of Partially Ionized Gases in External Magnetic Field
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The linear theory of collision-induced instability of partially ionized gases is developed for waves propagating along an external magnetic field. Righthand polarized waves (R-waves) are mainly treated. The effect of finite wave numbers is fully taken into account. The unperturbed velocity distribution of electrons, f_o, is assumed to have a sufficiently large peak : f_o(v)=n_o/4πV^2δ(v-V), and the electron collision frequency ν is assumed to depend strongly on the magnitude of electron velocity : ν(v)∝v^h. A dispersion relation is obtained and solved numerically. Four high frequency modes for the R-waves are obtained. The first three modes are identified with the waves in the cold plasma, namely, two electromagnetic modes and one Aefven mode. The fourth mode appears when the velocity dependence of the collision frequency ν(v) is explicitly taken into account. When h>3,the last mode is unstable for small k, but it represents rapidly damping wave for large k.
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- Linear Theory of Collision-Induced Instability of Partially Ionized Gases in External Magnetic Field