Collisionless diffusion of particles across a magnetic field at a plasma edge in the presence of turbulence

We study the collisionless diffusion of electrons and ions across a magnetic field at a plasma edge, in the turbulent field produced by a Kelvin–Helmholtz instability. Ions and electrons are described by gyro-kinetic equations which include the finite Larmor radius correction and the polarization drift. Characteristic methods associated with cubic spline interpolation in two dimensions (2D) are used to integrate the gyro-kinetic equations in a slab geometry.