Reduced, Three-Dimensional, Nonlinear Equations for High- beta Plasmas Including Toroidal Effects

摘要

The resistive MHD equations for toroidal plasma configurations are reduced by expanding to the second order in epsilon, the inverse aspect ratio, allowing for high beta = mu sub 0 p/B exp 2 of order epsilon. The result is a closed system of nonlinear, three-dimensional equations where the fast magnetohydrodynamic time scale is eliminated. In particular, the equation for the toroidal velocity remains decoupled.