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Gauge-Invariant Helicity for Force-Free Magnetic Fields in a Rectangular Box

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Abstract

An algorithm for calculating the gauge-invariant helicity of a magnetic field specified in a rectangular box is described. The algorithm has been tested and confirmed on a well-known semi-analytic force-free-field model of Low and Lou (Astrophys. J. 352, 343, 1990) which we have re-formulated in terms of the vector potential.

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Correspondence to G. V. Rudenko.

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Rudenko, G.V., Myshyakov, I.I. Gauge-Invariant Helicity for Force-Free Magnetic Fields in a Rectangular Box. Sol Phys 270, 165–173 (2011). https://doi.org/10.1007/s11207-011-9743-4

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  • DOI: https://doi.org/10.1007/s11207-011-9743-4

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