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.
Similar content being viewed by others
References
Amari, T., Boulmezaoud, T.Z., Mikic, Z.: 1999, Astron. Astrophys. 350, 1051.
Amari, T., Luciani, J.F., Aly, J.J., Mikic, Z., Linker, J.: 2003a, Astrophys. J. 585, 1073.
Amari, T., Luciani, J.F., Aly, J.J., Mikic, Z., Linker, J.: 2003b, Astrophys. J. 595, 1231.
Berger, M.A.: 1999, In: Brown, M.R., Canfield, R.C., Pevtsov, A.A. (eds.) Magnetic Helicity in Space and Laboratory Plasmas, AGU Geophys. Monogr. 111, 1.
Berger, M.A., Field, G.B.: 1984, J. Fluid Mech. 147, 133.
Brown, D.S., Priest, E.R.: 1999, Solar Phys. 190, 25.
Finn, J.M., Antonsen, T.M.: 1985, Comments Plasma Phys. Contr. Fusion 9, 111.
Longcope, D.W., Malanushenko, A.: 2008, Astrophys. J. 674, 1130.
Low, B.C., Lou, Y.Q.: 1990, Astrophys. J. 352, 343.
Priest, E.R.: 1999, In: Brown, M.R., Canfield, R.C., Pevtsov, A.A. (eds.) Magnetic Helicity in Space and Laboratory Plasmas, AGU Geophys. Monogr. 111, 141.
Regnier, S., Amari, T., Canfield, R.C.: 2005, Astron. Astrophys. 442, 345.
Rudenko, G.V., Myshyakov, I.I.: 2009, Solar Phys. 257, 287.
Rudenko, G.V., Myshyakov, I.I., Anfinogentov, S.A.: 2011, arXiv:1007.0298 .
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
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
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11207-011-9743-4