%AYoon, Peter%AYoon, Peter [Institute for Physical Science and Technology, University of Maryland, College Park, Maryland 20742-2431, USA]%AZiebell, Luiz%AZiebell, Luiz [Instituto de Física, Universidade Federal do Rio Grande do Sul—UFRGS, 91501-970 Porto Alegre, RS, Brazil]%BJournal Name: Physics of Plasmas; Journal Volume: 28; Journal Issue: 12; Related Information: CHORUS Timestamp: 2023-06-23 22:54:46 %D2021%IAmerican Institute of Physics %JJournal Name: Physics of Plasmas; Journal Volume: 28; Journal Issue: 12; Related Information: CHORUS Timestamp: 2023-06-23 22:54:46 %K %MOSTI ID: 10361017 %PMedium: X %TElectrostatic weak turbulence theory for warm magnetized plasmas %X

Electrostatic weak turbulence theory for plasmas immersed in an ambient magnetic field is developed by employing a hybrid two-fluid and kinetic theories. The nonlinear susceptibility response function is calculated with the use of warm two-fluid equations. The linear dispersion relations for longitudinal electrostatic waves in magnetized plasmas are also obtained within the warm two-fluid theoretical scheme. However, dissipations that arise from linear and nonlinear wave–particle interactions cannot be discussed with the macroscopic two-fluid theory. To compute such collisionless dissipation effects, linearized kinetic theory is utilized. Moreover, a particle kinetic equation, which is necessary for a self-consistent description of the problem, is derived from the quasilinear kinetic theory. The final set of equations directly generalizes the electrostatic weak turbulence theory in unmagnetized plasmas, which could be applied for a variety of problems including the electron beam–plasma interactions in magnetized plasma environments.

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