Energy Flux of Parallel Propagating Electromagnetic Waves in Cairns Distributed Plasmas

Abstract

The energy transport of the circularly polarized electromagnetic (EM) waves is studied in a collision less Cairns distributed plasmas, whose constituents are the mobile electrons and static ions. For this purpose, the set of Vlasov-Maxwell equations are employed to derive a modified dispersion relation in terms of plasma dispersion function for the parallel propagating EM waves. The energy flux of the EM waves is studied by taking into account the wave-particle interactions caused by non-resonant [𝜉 = 𝜔−𝛺 𝑘∥𝑣𝑇∥ ≫ 1] and resonant [𝜉 ≪ 1] conditions. It is found that variation of Cairns parameter, thermal speed, wave frequency, and temperature anisotropy (assuming the perpendicular temperature 𝑇⊥ to be larger than the parallel temperature 𝑇∥ with respect to ambient magnetic field) significantly influence the curves of the energy flux. Moreover, one has also been able to find the possibility of long distance energy transport as more efficient in resonant case as compared to non-resonant case. The outcome of this investigation can be helpful in understanding the wave-particle interaction in space exploration, in heating of fusion plasmas, and energy deposition in laser-produced plasmas.