The structure of force-free magnetic fields

Evangelidis, E. A., Vaughan, L. L. and Botha, Gert (2000) The structure of force-free magnetic fields. Solar Physics, 193 (1/2). pp. 17-32. ISSN 0038-0938

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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

Item Type: Article
Subjects: F300 Physics
F500 Astronomy
G100 Mathematics
Department: Faculties > Engineering and Environment > Mathematics, Physics and Electrical Engineering
Depositing User: Gert Botha
Date Deposited: 26 Jun 2013 09:38
Last Modified: 01 Aug 2021 02:40

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