Landau damping of twisted waves in Cairns distribution with anisotropic temperature

Abstract

The consideration of orbital angular momentum of an electric field (twisted mode) is applied to the kinetic theory of plasma. The linearized Vlasov–Poisson equation is solved for the anisotropic thermal distributed bi-Maxwellian and Cairns distributions of electrons to obtain the damping rates of twisted waves. The dispersion relation and Landau damping of Langmuir twisted modes are obtained. The presence of twisted modes opens up two more possibilities in Landau damping and dispersion relations. This may generate a mixture with ion sound waves. It seems to play the role of a control parameter of Landau damping.

Collective effect of nonthermal and suprathermal particles on electrostatic waves and instabilities in Vasyliunas-Cairns distributed plasmas

“…Azra et al [26] derived a generalized dispersion relation for the ordinary mode by employing the Cairns distribution function. Lee and Lim [27] obtained Landau damping of Langmuir wave considering the orbital angular momentum of an electric field using the kinetic theory of plasma. It has thus been used by several researchers as a theoretical model for the family of non-Maxwellian or nonthermal space plasmas [28][29][30][31][32].…”

“…Wang et al investigated collision frequencies of the electron-neutral particle using kappa-cairns velocity distribution [48]. Lee and Lim used the orbital angular momentum of an electric field to incorporate this nonthermal distribution into their kinetic theory [49]. Bilal et al [50] investigated the dispersion properties and Landau damping rate of ion-acoustic waves with the hybrid Cairns-Tsallis distributed electrons and Maxwellian ions using the plasma kinetic model.…”