Abstract
Relying on the kinetic description, the electron-plasma (EP) waves carrying distinct orbital angular momentum (OAM) states are investigated in q-nonextensive plasma consisting of inertial electrons with static background of positive ions. Deriving an expression for the dielectric response function, the dispersion relation and Landau damping frequencies are analyzed both analytically and numerically. It is found that weakly damped regions of the EP waves strongly depend on the non-extensivity (q) and twist (η) parameters. The presence of finite OAM results in the longer range of the values in terms of normalized wavenumber for which the EP waves are weakly damped. However, maximum range of weakly damped wavenumbers is obtained when the longitudinal and azimuthal wavenumbers are equal, viz. twist parameter becomes unity. For very large twist parameter, the results of the twisted wave model coincide with the planer wave model.
Highlights
Twisted waves carry a non-uniform phase structure [exp(ilθ)], which confirms various states of orbital angular momentum (OAM) owing to non-planar wavefronts of the waves
We show the modified linear dispersion relation and damping rate of the electron plasma waves accounting for finite OAM states in a collisionless unmagnetized non-extensive plasma
We have studied the twisted electron plasma (EP) waves in a q-nonextensive plasma by using the kinetic theory
Summary
Twisted waves carry a non-uniform phase structure [exp(ilθ)], which confirms various states of orbital angular momentum (OAM) owing to non-planar wavefronts of the waves. The solution to the extensive and non-extensive systems can be found within the framework of statistical mechanics, which are entirely involved with the inter-particle forces These forces can be caused by the long and short range interactions among the particles. Several attempts using the non-extensive statistics have been made to understand the long-range interactions in galaxies,[19] in turbulent systems[20,21,22] and in plasma systems.[23,24] The existence of non-Maxwellian distribution for nonthermal particles has experimentally been confirmed. Many plasma models were re-visited to account for the non-extensivity effects due to long range inter-particle interactions with generalized Tsallis statistics.[14,26,27,28].
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