Progress with the COGENT Edge Kinetic Code: Implementing the Fokker-Planck Collision Operator

Gyrokinetic Fokker-Planck Collision Operator

Gyrokinetic Fokker-Planck Collision Operator

Gyrokinetic Fokker-Planck collision operator.

The gyrokinetic linearized exact Fokker-Planck collision operator is obtained in a form suitable for plasma gyrokinetic equations, for arbitrary mass ratio. The linearized Fokker-Planck operator includes both the test-particle and field-particle contributions, and automatically conserves particles, momentum, and energy, while ensuring non-negative entropy production. Finite gyroradius effects i...

The Fokker-planck Operator at a Continuous Phase Transition

I consider a physical system described by a continuous field theory and enclosed in a large but finite cubical box with periodic boundary conditions. The system is assumed to undergo a continuous phase transition at some critical point. The 4 M theory that is a continuous version of the Ising model is such a system but there are many other examples corresponding to higher spin, higher symmetry ...

A guiding-center Fokker-Planck collision operator for nonuniform magnetic fields

A new formulation for collisional kinetic theory is presented based on the use of Lietransform methods to eliminate fast orbital time scales from a general bilinear collision operator. As an application of this new formalism, a general guiding-center bilinear FokkerPlanck (FP) collision operator is derived following the elimination of the fast gyromotion time scale of a charged particle moving ...