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Analytic examples of force-free toroidal MHD equilibria

  • Magnetic Confinement Systems
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Abstract

Analytically described toroidal (axisymmetric and three-dimensional) equilibrium magnetic field configurations with a “flat” current density, j=λB (λ = const), are proposed. Such configurations are superpositions of several force-free two-dimensional configurations with plane, axial, or helical coordinate symmetry. Each of them is generated by an exact partial solution to the corresponding Grad-Shafranov equation. A variety of toroidal configurations thus obtained allows one to model topological changes of magnetic surfaces, such as magnetic axis splitting (doublets) in axisymmetric equilibrium configurations and the appearance and interaction of magnetic islands and ergodic lines in three-dimensional configurations.

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Authors and Affiliations

  1. Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Miusskaya pl. 4, Moscow, 125047, Russia

    A. A. Martynov & S. Yu. Medvedev

Authors
  1. A. A. Martynov
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  2. S. Yu. Medvedev
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Translated from Fizika Plazmy, Vol. 28, No. 4, 2002, pp. 291–299.

Original Russian Text Copyright © 2002 by Martynov, Medvedev.

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Martynov, A.A., Medvedev, S.Y. Analytic examples of force-free toroidal MHD equilibria. Plasma Phys. Rep. 28, 259–267 (2002). https://doi.org/10.1134/1.1469166

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  • DOI: https://doi.org/10.1134/1.1469166

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