Skip to main content
×
×
Home

Non-linear and chaotic dynamo regimes

  • Axel Brandenburg (a1) (a2)
Abstract
Abstract

An update is given on the current status of solar and stellar dynamos. At present, it is still unclear why stellar cycle frequencies increase with rotation frequency in such a way that their ratio increases with stellar activity. The small-scale dynamo is expected to operate in spite of a small value of the magnetic Prandtl number in stars. Whether or not the global magnetic activity in stars is a shallow or deeply rooted phenomenon is another open question. Progress in demonstrating the presence and importance of magnetic helicity fluxes in dynamos is briefly reviewed, and finally the role of nonlocality is emphasized in modeling stellar dynamos using the mean-field approach. On the other hand, direct numerical simulations have now come to the point where the models show solar-like equatorward migration that can be compared with observations and that need to be understood theoretically.

    • Send article to Kindle

      To send this article to your Kindle, first ensure no-reply@cambridge.org is added to your Approved Personal Document E-mail List under your Personal Document Settings on the Manage Your Content and Devices page of your Amazon account. Then enter the ‘name’ part of your Kindle email address below. Find out more about sending to your Kindle. Find out more about sending to your Kindle.

      Note you can select to send to either the @free.kindle.com or @kindle.com variations. ‘@free.kindle.com’ emails are free but can only be sent to your device when it is connected to wi-fi. ‘@kindle.com’ emails can be delivered even when you are not connected to wi-fi, but note that service fees apply.

      Find out more about the Kindle Personal Document Service.

      Non-linear and chaotic dynamo regimes
      Available formats
      ×
      Send article to Dropbox

      To send this article to your Dropbox account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Dropbox account. Find out more about sending content to Dropbox.

      Non-linear and chaotic dynamo regimes
      Available formats
      ×
      Send article to Google Drive

      To send this article to your Google Drive account, please select one or more formats and confirm that you agree to abide by our usage policies. If this is the first time you use this feature, you will be asked to authorise Cambridge Core to connect with your Google Drive account. Find out more about sending content to Google Drive.

      Non-linear and chaotic dynamo regimes
      Available formats
      ×
Copyright
References
Hide All
Abramenko V. I., Carbone V., Yurchyshyn V., Goode P. R., Stein R. F., Lepreti F., Capparelli V., & Vecchio A. 2011 ApJ, 743 133
Aurière M., Donati J.-F., Konstantinova-Antova R., Perrin G., Petit P., & Roudier T. 2010 A&A, 516 L2
Bingert S. & Peter H. 2011 A&A, 530 A112
Blackman E. G. & Brandenburg A. 2003 ApJL, 584 L99
Boldyrev S. & Cattaneo F. 2004 Phys. Rev. Lett., 92 144501
Brown B. P., Miesch M. S., Browning M. K., Brun A. S., & Toomre J. 2011 ApJ, 731 69
Brandenburg A. 2005 ApJ, 625 539
Brandenburg A. 2009 ApJ, 697 1206
Brandenburg A. 2011 ApJ, 741 92
Brandenburg A., Saar S. H., & Turpin C. R. 1998 ApJL, 498 L51
Brandenburg A., Rädler K.-H., & Schrinner M. 2008 A&A, 482 739
Brandenburg A., Kemel K., Kleeorin N., Mitra Dhrubaditya & Rogachevskii I. 2011a ApJL, 740 L50
Brandenburg A., Subramanian K., Balogh A., & Goldstein M. L. 2011b ApJ, 9 734
Brandenburg A., Kemel K., Kleeorin N., & Rogachevskii I. 2012 ApJ, 749 179
Brown B. P., Browning M. K., Brun A. S., Miesch M. S., & Toomre J. 2010 ApJ, 711 424
Cattaneo F. 1999 ApJ, 515 L39
Cattaneo F., Emonet T., & Weiss N. 2003 ApJ, 588 1183
Chatterjee P., Nandy D., & Choudhuri A. R. 2004 A&A, 427 1019
Chatterjee P., Mitra D., Rheinhardt M. & Brandenburg A. 2011 A&A, 534 A46
Cline K. S., Brummell N. H., & Cattaneo F. 2003 ApJ, 599 1449
Danilovic S., Schssler M., & Solanki S. K. 2010 A&A, 513 A1
Del Sordo F., Guerrero G., & Brandenburg A. 2013 MNRAS, 429 1686
Dobler W., Haugen N. E. L., Yousef T. A., & Brandenburg A. 2003 Phys. Rev. E, 68 026304
Falkovich G. 1994 Phys. Fluids, 6 1411
Gibson S. E., Fletcher L., Del Zanna G., et al. 2002 ApJ, 574 1021
Ghizaru M., Charbonneau P., & Smolarkiewicz P. K. 2010 ApJL, 715 L133
Golitsyn G. S. 1960 Sov. Phys. Dokl., 5 536
Guerrero G. & Käpylä P. J. 2011 A&A, 533 A40
Hindman B. W., Haber D. A., & Toomre J. 2009 ApJ, 698 1749
Hubbard A. & Brandenburg A. 2010 Geophys. Astrophys. Fluid Dyn., 104 577
Ilonidis S., Zhao J., & Kosovichev A. 2011 Science, 333 993
Ishikawa R. & Tsuneta S. 2009 A&A, 495 607
Iskakov A. B., Schekochihin A. A., Cowley S. C., McWilliams J. C., & Proctor M. R. E. 2007 Phys. Rev. Lett., 98 208501
Kaneda Y., Ishihara T., Yokokawa M., Itakura K., & Uno A. 2003 Phys. Fluids, 15 L21
Käpylä P. J., Korpi M. J., Brandenburg A., Mitra D., & Tavakol R. 2010 Astron. Nachr., 331 73
Käpylä P. J., Mantere M. J., & Brandenburg A. 2012 ApJL, 755 L22
Käpylä P. J., Mantere M. J., Cole E., Warnecke J., & Brandenburg A. 2013 ApJ arXiv:1301.2595
Kemel K., Brandenburg A., Kleeorin N., Mitra D., & Rogachevskii I. 2012 Solar Phys., 280 321
Kleeorin N. & Rogachevskii I. 1994 Phys. Rev. E, 50 2716
Kleeorin N., Mond M. & Rogachevskii I. 1996 A&A, 307 293
Kosovichev A. G. & Stenflo J. O. 2008 ApJL, 688 L115
Kosovichev A. G. 2009 Spa. Sci. Rev., 144 175
Krause F. & Rädler K.-H. 1980 MNRAS Mean-field Magnetohydrodynamics and Dynamo Theory Oxford: Pergamon Press
Lites B. W. 2002 ApJ, 573 431
Mitra D., Candelaresi S., Chatterjee P., Tavakol R., & Brandenburg A. 2010 Astron. Nachr., 331 130
Moffatt H. K. 1961 J. Fluid Mech., 11 625
Moffatt H.K. 1978 MNRAS Magnetic Field Generation in Electrically Conducting Fluids Cambridge: Cambridge Univ. Press
Pinto R. F., Brun A. S., Jouve L., & Grappin R. 2011 ApJ, 737 72
Pouquet A., Frisch U., & Léorat J. 1976 J. Fluid Mech., 77 321
Racine É., Charbonneau P., Ghizaru M., Bouchat A., & Smolarkiewicz P. K. 2011, ApJ 735, 46
Rheinhardt M. & Brandenburg A. 2012 Astron. Nachr., 333 71
Rogachevskii I. & Kleeorin N. 1997 Phys. Rev. E, 56 417
Ruzmaikin A. A. & Shukurov A. M. 1982 Ap&SS, 82 397
Saar S. H. & Brandenburg A. 1999 ApJ, 524 295
Schekochihin A. A., Haugen N. E. L., Brandenburg A., Cowley S. C., Maron J. L., & McWilliams J. C. 2005 ApJ, 625 L115
Skumanich A. 1972 ApJ, 171 565
Stenflo J. O. 2012 A&A, 547 A93
Vögler A. & Schüssler M. 2007 A&A, 465 L43
Warnecke J. & Brandenburg A. 2010 A&A, 523 A19
Warnecke J., Brandenburg A., & Mitra D. 2011 A&A, 534 A11
Warnecke J., Brandenburg A., & Mitra D. 2012 J. Spa. Weather Spa. Clim. 2 A11
Warnecke J., Käpylä P. J., Mantere M. J., & Brandenburg A. 2013 ApJ arXiv:1301.2248
Recommend this journal

Email your librarian or administrator to recommend adding this journal to your organisation's collection.

Proceedings of the International Astronomical Union
  • ISSN: 1743-9213
  • EISSN: 1743-9221
  • URL: /core/journals/proceedings-of-the-international-astronomical-union
Please enter your name
Please enter a valid email address
Who would you like to send this to? *
×

Keywords:

Metrics

Full text views

Total number of HTML views: 0
Total number of PDF views: 7 *
Loading metrics...

Abstract views

Total abstract views: 36 *
Loading metrics...

* Views captured on Cambridge Core between September 2016 - 24th January 2018. This data will be updated every 24 hours.