Exact non-symmetric closed line vacuum magnetic fields in a topological torus

Non-symmetric vacuum magnetic fields with closed magnetic field lines are of interest in the construction of stellarator equilibria. Beyond the result of D. Lortz, Z. Angew Math. Phys. 21, 196 (1970), few results are available. This work presents a closed-form expression for a class of vacuum magnet...

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Veröffentlicht in:	Physics of plasmas 2020-02, Vol.27 (2)
Hauptverfasser:	Weitzner, Harold, Sengupta, Wrick
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Sprache:	eng
Schlagworte:	70 PLASMA PHYSICS AND FUSION TECHNOLOGY Magnetic fields Magnetohydrodynamics Physics Plasma confinement Stellarators
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description	Non-symmetric vacuum magnetic fields with closed magnetic field lines are of interest in the construction of stellarator equilibria. Beyond the result of D. Lortz, Z. Angew Math. Phys. 21, 196 (1970), few results are available. This work presents a closed-form expression for a class of vacuum magnetic fields in a topological torus with closed field lines. We explicitly obtain the invariants of such a field. We finally show that a three-dimensional low beta magnetohydrodynamic equilibrium may be constructed in a topological torus, starting with these closed line vacuum magnetic fields.
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subjects	70 PLASMA PHYSICS AND FUSION TECHNOLOGY Magnetic fields Magnetohydrodynamics Physics Plasma confinement Stellarators
title	Exact non-symmetric closed line vacuum magnetic fields in a topological torus
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