Force-free fields in a three dimensional plasma torus

Computer Science – Numerical Analysis

Scientific paper

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Force-Free Magnetic Fields, Magnetohydrodynamic Flow, Numerical Analysis, Three Dimensional Motion, Toroidal Plasmas, Coordinates, Io, Magnetic Flux, Nuclear Fusion

Scientific paper

The complication presented by the fact that, from the mathematical point of view, the Chandrasekhar and Kendall (1957) method does not lead to a factorizable Helmholtz-type equation in toroidal coordinates, is addressed for the case of force-free fields in a three-dimensional plasma torus. An appropriate analytical solution to the torus is presented. The solution is of interest in both the realization of nuclear-fusion devices and the study of Jupiter's Io torus.

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