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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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
Item Type: | Article |
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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 |
URI: | http://nrl.northumbria.ac.uk/id/eprint/13051 |
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- The structure of force-free magnetic fields. (deposited 26 Jun 2013 09:38) [Currently Displayed]
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