Polarization vector formalism of plasma weak turbulence

Abstract

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.

Electrostatic weak turbulence theory for warm magnetized plasmas

“…These procedures are well-described by the recent monograph, 12 but also discussed in standard literature, including Ref. 83. This method of closure is known as the quasinormal closure in the literature.…”