The Structure of Force-Free Magnetic Fields

  • E. A. Evangelidis
  • L. L. Vaughan
  • G. J. J. Botha
Conference paper

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

Manifold Librium Rium Incompressibility 

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Copyright information

© Springer Science+Business Media Dordrecht 2001

Authors and Affiliations

  • E. A. Evangelidis
    • 1
  • L. L. Vaughan
    • 1
  • G. J. J. Botha
    • 2
  1. 1.Centre for Physics and MathematicsVolosGreece
  2. 2.Department of Pure and Applied PhysicsQueen’s UniversityBelfastUK

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