Nonlinear interaction of electron acoustic waves with Langmuir waves in presence of magnetic field in plasmas

Abstract

Nonlinear interaction between Langmuir waves and Electron Acoustic Wave (EAW) is being studied in a warm magnetized plasma in presence of two intermingled fluids, hot electrons, and cold electrons while ions forming static background. Two-fluid, two-timescale theory is performed to derive modified Zakharov's equations in a magnetized plasma. These coupled equations describe low-frequency response of electron density due to high-frequency electric field along with magnetic field perturbations. Linear analysis shows coupling between acoustic mode, upper hybrid mode, and cyclotron modes. These modes are found to be modified due to the presence of two electron components. These equations are significant in the context of weak and strong turbulence.

Nonlinear structure formation of electron acoustic waves in plasmas

“…, which is consistent with the perturbations (11) and (12). Substituting (11), ( 12) into the basic equations (equations ( 2)-( 4)) and using ordering of Ω, we obtain the following relations in the lowest powers of  , ( )…”

“…In fact most of the electrostatic high frequency noises excited in the auroral plasma are due to the EAW [8]. EAWs exist in a two-temperature electrons and stationary ion plasma where the density (temperature) of cold electron ( ) n T c c 0 to be sufficiently small compared to the density (temperature) of hot electron ( ) n T h h 0 [6,[9][10][11]. The linear dispersion relation of EAW is given by [6] ( ) ( )…”

Nonlinear interaction of electromagnetic wave with electron acoustic wave in plasma

“…A careful consideration of most predominating terms on both sides, the fast time scale components of Maxwell's equations and hot electron momentum equation yield [12,43],…”

“…Previously, nonlinear wave coupling of electron acoustic waves and electromagnetic waves was studied in multi-species degenerate astrophysical plasma with a highly degenerate electron fluid mixed with a classical relativistic flow of electrons [11]. Modified Zakharov's equations for the nonlinear interaction of electron acoustic wave and Langmuir waves in a warm magnetized plasma [12] and in viscous plasma [13] have also been studied separately. Wave-wave interactions among electromagnetic mode, Langmuir, and ion-sound modes are also investigated in a non-extensive plasma [14].…”