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The negative magnetic pressure effect in stratified turbulence

Published online by Cambridge University Press:  26 August 2011

K. Kemel ,
A. Brandenburg ,
N. Kleeorin  and
I. Rogachevskii
K. Kemel
Affiliation:
NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden Department of Astronomy, Stockholm University, SE–10691 Stockholm, Sweden
A. Brandenburg
Affiliation:
NORDITA, AlbaNova University Center, Roslagstullsbacken 23, SE-10691 Stockholm, Sweden Department of Astronomy, Stockholm University, SE–10691 Stockholm, Sweden
N. Kleeorin
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, POB 653, Beer-Sheva 84105, Israel
I. Rogachevskii
Affiliation:
Department of Mechanical Engineering, Ben-Gurion University of the Negev, POB 653, Beer-Sheva 84105, Israel
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Abstract

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While the rising flux tube paradigm is an elegant theory, its basic assumptions, thin flux tubes at the bottom of the convection zone with field strengths two orders of magnitude above equipartition, remain numerically unverified at best. As such, in recent years the idea of a formation of sunspots near the top of the convection zone has generated some interest. The presence of turbulence can strongly enhance diffusive transport mechanisms, leading to an effective transport coefficient formalism in the mean-field formulation. The question is what happens to these coefficients when the turbulence becomes anisotropic due to a strong large-scale mean magnetic field. It has been noted in the past that this anisotropy can also lead to highly non-diffusive behavior. In the present work we investigate the formation of large-scale magnetic structures as a result of a negative contribution of turbulence to the large-scale effective magnetic pressure in the presence of stratification. In direct numerical simulations of forced turbulence in a stratified box, we verify the existence of this effect. This phenomenon can cause formation of large-scale magnetic structures even from initially uniform large-scale magnetic field.

Keywords

TurbulenceMHDsunspots
Type
Contributed Papers
Information
Proceedings of the International Astronomical Union , Volume 6 , Symposium S273: The Physics of Sun and Star Spots , August 2010 , pp. 83 - 88
Copyright
Copyright © International Astronomical Union 2011

References

Brandenburg, A., 2005, Astrophys. J., 625, 539CrossRefGoogle Scholar
Brandenburg, A. & Dobler, W., 2002, Comp. Phys. Comm. 147, 471Google Scholar
Brandenburg, A. & Subramanian, K., 2005, Phys. Rep., 417, 1CrossRefGoogle Scholar
Brandenburg, A., Kleeorin, N., & Rogachevskii, I., 2010, Astron. Nachr., 331, 5 (BKR)Google Scholar
Brandenburg, A., Kemel, K., Kleeorin, N., & Rogachevskii, I., 2010, arXiv:1005.5700Google Scholar
Cattaneo, F., Brummell, N. H., & Cline, K. S., 2006, Mon. Not. Roy. Astron. Soc. 365, 727CrossRefGoogle Scholar
Fan, Y., 2001, Astrophys. J. 546, 509Google Scholar
Kitchatinov, L. L. & Mazur, M. V., 2000, Solar Phys., 191, 325Google Scholar
Kitiashvili, I. N., Kosovichev, A. G., Wray, A. A., & Mansour, N. N., 2010, Astrophys. J. 719, 307CrossRefGoogle Scholar
Kleeorin, N. I., Rogachevskii, I. V., & Ruzmaikin, A. A., 1990, Sov. Phys., 70, 878Google Scholar
Nordlund, Å., Brandenburg, A., Jennings, R. L., Rieutord, M., Ruokolainen, J., Stein, R. F., & Tuominen, I., 1992, Astrophys. J. 392, 647CrossRefGoogle Scholar
Parker, E. N., 2009, Space Sci. Rev., 144, 15Google Scholar
Rempel, M., Schüssler, M., & Knölker, M., 2009, Astrophys. J. 691, 640Google Scholar
Rogachevskii, I. & Kleeorin, N., 2007, Phys. Rev. E, 76, 056307(RK07)Google Scholar
Tao, L., Weiss, N. O., Brownjohn, D. P., & Proctor, M. R. E., 1998, Astrophys. J. 496, L39Google Scholar
Tobias, S. M., Brummell, N. H., Clune, T. L., & Toomre, J., 1998, Astrophys. J. 502, L177CrossRefGoogle Scholar