Derivation and properties of a BalescuLenard like equation for stationary plasma turbulence in the weakcoupling approximation
Abstract
In this paper, we derive a kinetic equation and discuss its validity for a stationary turbulent plasma. We use, for this purpose, the Dupree— Weinstock model in the weakcoupling approximation, and take into account ballistic streams. Frictional effects appear, in addition to the velocity diffusion. The diffusion causes a resonance broadening, the friction causes a frequency shift. Our model is a generalization of the dressed test particle model, and leads to a kinetic equation formally similar to Balescu— Lenard' s. A comparison between our model and the Dupree ‘clump’ theory is developed. Physical quantities are conserved, the H theorem is satisfied; but the asymptotic solution is not necessarily a Maxwellian distribution function.
 Publication:

Journal of Plasma Physics
 Pub Date:
 August 1975
 DOI:
 10.1017/S0022377800025605
 Bibcode:
 1975JPlPh..14..153P
 Keywords:

 Kinetic Equations;
 Particle Interactions;
 Plasma Turbulence;
 Stable Oscillations;
 Approximation;
 Diffusion Coefficient;
 Dynamic Models;
 Fourier Transformation;
 Mathematical Models;
 Plasma Resonance;
 Plasma Physics