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The Structure of Force-Free Magnetic Fields

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Abstract

Incontrovertible evidence is presented that the force-free magnetic fields exhibit strong stochastic behavior. Arnold’s solution is given with the associated first integral of energy, A subset of the solution is shown to be non-ergodic whereas the full solution is shown to be ergodic. The first integral of energy is applied to the study of these fields to prove that the equilibrium points of such magnetic configurations are saddle points. Finally, the potential function of the first integral of energy is shown to be a member of the Helmholtz family of solutions. Numerical results corroborate the theoretical conclusions and demonstrate the robustness of the energy integral, which remains constant for arbitrarily long computing times.

Keywords

  • Equilibrium Point
  • Saddle Point
  • Solar Phys
  • Helmholtz Equation
  • Magnetic Configuration

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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  • DOI: 10.1007/978-94-010-0860-0_2
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© 2001 Springer Science+Business Media Dordrecht

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Evangelidis, E.A., Vaughan, L.L., Botha, G.J.J. (2001). The Structure of Force-Free Magnetic Fields. In: Engvold, O., Harvey, J.W. (eds) Physics of the Solar Corona and Transition Region. Springer, Dordrecht. https://doi.org/10.1007/978-94-010-0860-0_2

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  • DOI: https://doi.org/10.1007/978-94-010-0860-0_2

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-3846-1

  • Online ISBN: 978-94-010-0860-0

  • eBook Packages: Springer Book Archive