Two-fluid approach to weak plasma turbulence

Yoon, Peter H.

doi:10.1088/1361-6587/ac2e40

Cited by 2 publications

(3 citation statements)

References 90 publications

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“…demonstrated that the warm two-fluid theory is capable of partially reproducing the weak turbulence wave equation for unmagnetized plasmas, which is normally derived from full kinetic theory. 81 The present paper adopted such an approach, which is combined with quasilinear kinetic theory, and succeeded in formulating the weak turbulence theory for magnetized plasmas under the assumption of electrostatic interaction.…”

Section: Summary and Discussionmentioning

confidence: 99%

“…[49][50][51] A method was recently proposed to overcome such a difficulty. In a recent work, 81 one of the present authors (P.H.Y.) noted that one can partially reformulate the kinetic weak turbulence theory by resorting to the warm two-fluid theory.…”

Section: Introductionmentioning

confidence: 89%

“…While Ref. 81 pointed out the usefulness of the warm two-fluid approach under a general situation, including the magnetized plasmas, for actual demonstration, Ref. 81 only considered the unmagnetized plasma problem as an example that proves the basic concept.…”

Section: Introductionmentioning

confidence: 99%

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Electrostatic weak turbulence theory for warm magnetized plasmas

Yoon

Ziebell

2021

Physics of Plasmas

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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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Section: Summary and Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 89%

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Electrostatic weak turbulence theory for warm magnetized plasmas

Yoon

Ziebell

2021

Physics of Plasmas

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Polarization vector formalism of plasma weak turbulence

Yoon

2021

AIP Advances

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This paper formulates the plasma weak turbulent theory based on the unit electric field polarization vector. This concept is not intrinsically new, and partial formulations of weak turbulence processes based on the polarization vector approach are found in the literature. However, the present paper applies such a method uniformly to all the relevant processes for the first time, thus unifying the existing formalisms. The present result potentially provides many advantages including the fact that it facilitates the complex manipulations of various tensor coupling coefficients that dictate the wave–wave and nonlinear wave–particle interactions. To demonstrate its validity, the limit of unmagnetized plasmas is considered, and it is shown that the known results are recovered. The present formalism can be extended to more complex situations including magnetized plasmas, which is a subject of future work.

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Two-fluid approach to weak plasma turbulence

Cited by 2 publications

References 90 publications

Electrostatic weak turbulence theory for warm magnetized plasmas

Electrostatic weak turbulence theory for warm magnetized plasmas

Polarization vector formalism of plasma weak turbulence

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