Abstract
The compatibility of the fast-tachocline scenario with a flux-transport dynamo model is explored. We employ a flux-transport dynamo model coupled with simple feedback formulae relating the thickness of the tachocline to the amplitude of the magnetic field or to the Maxwell stress. The dynamo model is found to be robust against the nonlinearity introduced by this simplified fast-tachocline mechanism. Solar-like butterfly diagrams are found to persist and, even without any parameter fitting, the overall thickness of the tachocline is well within the range admitted by helioseismic constraints. In the most realistic case of a time- and latitude-dependent tachocline thickness linked to the value of the Maxwell stress, both the thickness and its latitudinal dependence are in excellent agreement with seismic results. In nonparametric models, cycle-related temporal variations in tachocline thickness are somewhat larger than admitted by helioseismic constraints; we find, however, that introducing a further parameter into our feedback formula readily allows further fine tuning of the thickness variations.
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Acknowledgements
We thank Arnab Rai Choudhuri for raising valuable points, which certainly improved this article. For our dynamo calculations we have used the Surya code developed in Choudhuri’s group at Bangalore. Support by the Hungarian Science Research Fund (OTKA grants no. K83133 and 81421) and by the European Union with the co-financing of the European Social Fund (grant no. TÁMOP-4.2.1/B- 09/1/KMR-2010-0003) is gratefully acknowledged. BBK thanks CSIR, India, for financial support and also to ELTE for comfortable hospitality during the beginning of this work.
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Karak, B.B., Petrovay, K. On the Compatibility of a Flux Transport Dynamo with a Fast Tachocline Scenario. Sol Phys 282, 321–334 (2013). https://doi.org/10.1007/s11207-012-0153-z
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DOI: https://doi.org/10.1007/s11207-012-0153-z