Abstract

In this paper we present a method of constructing a wide class of analytical solutions to Anisotropic Plasma Equilibrium equations in Chew–Goldberger–Low (CGL) approximation. The method is based on an explicit infinite-dimensional set of transformations between solutions of isotropic Magnetohydrodynamic (MHD) equilibrium equations and solutions of CGL equilibrium equations. These transformations depend on the topology of the original solution and allow the building anisotropic plasma equilibria with a variety of physical properties and topologies, including 3D solutions with no geometrical symmetries. Anisotropic plasma equilibrium configurations with and without magnetic surfaces can be built using these transformations. The examples are given.

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