Non-linear plasma transport equations for high flow velocity

Collision terms for plasma transport equations are derived from the Fokker-Planck equation without the usual linearization in U=flow velocity/thermal velocity. A 13-moment ansatz for the distribution functions includes the linearized dependence of the collision terms on viscous pressure and heat flow in the transport equations for momentum, energy, viscous pressure and heat flow. The masses and temperatures of the species are arbitrary. An expansion in U is made and the lowest non-vanishing terms are retained. The resulting system is discussed. The nonlinear terms in U may be important even for moderate U. All analytic results were obtained with the symbolic computer language REDUCE.