Topic/Type: 2.2 Kinetic methods, Particle-In-Cell and Vlasov, Poster

Numerical Simulation of Beam ? Target Plasma Interaction via Fokker-Planck Equation

David Bren1, Petr Kulhanek2, Martin Zacek2

1 Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, Brehova 7, Prague, Czech republic
2 Faculty of Electrical Engineering, Czech Technical University, Technicka 2, Prague, Czech Republic

Beam-target interaction is of the great interest especially in fusion reactions. Various Buneman like instabilities develop in the plasma target and lead to plasma thermalization. Detailed description of the process in frame of MHD is incomplete and therefore statistical approach is advisable.

In our simulations Fokker-Planck equation is used with right hand side written in terms of Rosenbluth\'s potentials. A numerical method of this potential integration was proposed and tested for wide range of plasma distribution functions. Left hand side was solved by implicit grid schemes for nonzero magnetic field. Results are compared with magnetohydrodynamical approach and the generalized Buneman dispersion relation.