A code to solve the Vlasov-Fokker-Planck equation applied to particle transport in magnetic turbulence

作者:Horn**y W A*; Bell A R; Kingham R J; Dendy R O
来源:Plasma Physics and Controlled Fusion, 2010, 52(7): 075011.
DOI:10.1088/0741-3335/52/7/075011

摘要

We present a novel code which solves the Vlasov-Fokker-Planck (VFP) equation in three-dimensional magnetic turbulence using finite difference methods. The approach is distinct from particle tracking codes. The angular component of the velocity space distribution function is represented by a spherical harmonic expansion drawing on an approach pioneered by Bell et al (2006 Plasma Phys. Control. Fusion 48 R37) for laser-plasma interaction simulations. This method enables the accurate representation of magnetic fields and of the effect of angular scattering effects on a particle distribution function. The code has been verified against both collisional and quasi-linear turbulent transport theories. It is shown to address successfully the physics of cross-field transport in regimes of magnetic field field perturbation amplitude and collisionality that are difficult to study using other approaches.

  • 出版日期2010-7