Transport equation for plasmas in a stationary-homogeneous turbulence

TL;DR

This paper derives a Fokker-Planck equation for plasmas in stationary homogeneous turbulence, linking turbulence characteristics to particle transport and flux, with implications for plasma confinement and control.

Contribution

It introduces a new derivation of the kinetic diffusion tensor from the nonlinear Vlasov equation using the entropy principle, applicable to turbulent plasma analysis.

Findings

The diffusion tensor symmetry is established.

A mean electric field can drive particle flux via the Stokes-Einstein relation.

Flux driven by turbulence is independent of turbulence details.

Abstract

For a plasma in a stationary homogeneous turbulence, the Fokker-Planck equation is derived from the nonlinear Vlasov equation by introducing the entropy principle. The ensemble average in evaluating the kinetic diffusion tensor, whose symmetry has been proved, can be computed in a straightforward way when the fluctuating particle trajectories are provided. As an application, it has been shown that a mean electric filed can drive a particle flux through the Stokes-Einstein relation, independent of the details of turbulence.