Low Velocity Approximation for the Relativistic Vlasov-Maxwell System.

摘要

The Relativistic Vlasov-Maxwell (RVM) system is a nonlinear system of first order partial differential equations that models the time evolution of a collisionless plasma, e.g. a high temperature, low density ionized gas. Numerical computation of solutions of this system is prohibitively expensive in part because of the six-dimensional phase space for the Vlasov density function. For computational feasibility, we consider a version (RVM) in which the Vlasov density f depends on one spatial variable, x, and two momentum variables, v sub 1 and v sub 2. This is the simplest version of the problem which retains the hyperbolic structure of Maxwell's Equations and for which there is a nontrivial magnetic field.