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On the possibility of helicity oscillations in the saturation of the Tayler instability
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 2
2017 (English)In: Astronomical Notes - Astronomische Nachrichten, ISSN 0004-6337, E-ISSN 1521-3994, Vol. 338, no 5, 516-526 p.Article in journal (Refereed) Published
Abstract [en]

Recent numerical results of current-driven instabilities at low magnetic Prandtl number and high Hartmann number support the possibility of a saturation state characterized by helicity oscillations. We investigate the underlying mechanism by analyzing this possibility using a higher order Landau-Ginzburg effective Lagrangian for the weakly nonlinear amplitude dynamics, where the magnetic and velocity perturbations are linearly dependent. We find that, if the mirror symmetry between left- and right-handed modes is spontaneously broken, it is impossible to achieve an oscillating helical state. We argue that the result is likely to hold also for adding higher order terms and in the presence of an explicit symmetry breaking. We conclude that an oscillating saturating state for the Tayler instability is unlikely to depend on the interaction of chiral modes.

Place, publisher, year, edition, pages
2017. Vol. 338, no 5, 516-526 p.
Keyword [en]
instabilities, magnetic fields, magnetohydrodynamics (MHD)
National Category
Astronomy, Astrophysics and Cosmology
Identifiers
URN: urn:nbn:se:su:diva-145233DOI: 10.1002/asna.201713300ISI: 000404527900001OAI: oai:DiVA.org:su-145233DiVA: diva2:1128758
Available from: 2017-07-28 Created: 2017-07-28 Last updated: 2017-07-28Bibliographically approved

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Guarnieri, Filippo
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