Weak Plasma Turbulence Theory and Some Other Items of Plasma Kinetics

Abstract

A new approach to a plasma kinetic description is discussed, the beginnings of which were published recently (Erofeev 1997a). It is shown that calculations of the three-wave collision integral following this approach confirm the intensity and structure of the three-wave collision integral obtained in the traditional theory. The reported kinetics extend the area of applicability for the weak plasma turbulence theory: apart from waves it properly accounts for the effect of various other plasma nonlinear structures of the type of solitons, drift vortices, collapsing cavities and so on. Some directions for further studies are also discussed.

High-informative version of nonlinear transformation of Langmuir waves to electromagnetic waves

“…In the case of a homogeneous plasma with weakly turbulent wave fields, one can average over six-dimensional parallelepipeds with extended spatial dimensions: at the expense of these dimensions one can reach appropriate small momentum gradations of a statistically reliable particle distribution. (See details in Erofeev (1997Erofeev ( , 1998Erofeev ( , 2002Erofeev ( , 2004a.) The consideration of plasma leakage from a tokamak dictates toroidal geometry of spatial projection of a sixdimensional averaging volume.…”

“…Studying physics of plasmas, particularly of thermonuclear ones, the researcher should reveal physical contexts that yield the developing of any informative final conclusions, and should also develop means for inferring respective conclusions. In this sense, we worked till now exclusively on problems of developing highinformative kinetic models for plasmas with weakly turbulent fields of potential waves: drift waves in the boundary layer of plasma with β ≡ 8πnT /B 2 m e /m i (Erofeev 1997(Erofeev , 1998 and Langmuir waves in homogeneous non-magnetized plasmas (Erofeev 2002(Erofeev , 2004b(Erofeev , 2000(Erofeev , 2004a(Erofeev , 2003(Erofeev , 2010(Erofeev , 2011a. In the given study we would like to generalize our high-informative correlation analysis of plasma kinetics onto a more common case of arbitrary weakly turbulent plasmas, ones that may contain the turbulent fields of solenoidal waves apart from the potential ones.…”