A systematic route to subcritical dynamo branches

We demonstrate that the nonlinear optimisation of a finite-amplitude disturbance over a freely evolving and possibly even turbulent flow, can successfully identify subcritical dynamo branches as well as the structure and amplitude of their critical perturbations. As this approach does not require pr...

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Veröffentlicht in:arXiv.org 2022-05
Hauptverfasser: Mannix, Paul M, Ponty, Yannick, Marcotte, Florence
Format: Artikel
Sprache:eng
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Zusammenfassung:We demonstrate that the nonlinear optimisation of a finite-amplitude disturbance over a freely evolving and possibly even turbulent flow, can successfully identify subcritical dynamo branches as well as the structure and amplitude of their critical perturbations. As this approach does not require prior knowledge of the magnetic field amplification mechanisms, it opens a new avenue for systematically probing subcritical dynamo flows.
ISSN:2331-8422
DOI:10.48550/arxiv.2112.11376