Numerical simulation of the Vlasov-Maxwell system for the nonlinear Berk-Breizman phenomenology

摘要

A fusion plasma is modeled by a one-dimensional Vlasov-Maxwell system of equations. Particle annihilation is considered by a dedicated factor in the Vlasov equation. A term describing background damping mechanisms is considered in the equation relating the electric field to the current (Berk-Breizman model). Results are presented for simulations in a one-dimensional velocity space, the extension by a further velocity dimension is sketched. As an initial condition. a bump-on-tail distribution is assumed. The time evolution of the system is Studied and characterized with respect to different points in parameter space. A fractional steps method using cubic splines interpolation is applied for time-integrating this system.