Abstract
The resistive MHD equations for toroidal plasma configurations are reduced by expanding to second order in ϵ, the inverse aspect ratio, allowing for high β = μ 0 p/ B 2 of order ϵ. 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. These equations generalize reduced equations derived earlier. They are now solved numerically. As a first step, various types of axisymmetric equilibria are found by relaxing a given initial configuration. Then, three-dimensional perturbations are introduced and followed in time to investigate the linear and nonlinear properties of tearing modes, etc., for high-β plasmas in toroidal geometry.
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