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Effect of plasma-β on the onset of plasmoid instability in Sweet–Parker current sheets

Published online by Cambridge University Press:  06 May 2014

H. Baty
H. Baty*
Affiliation:
Observatoire astronomique de Strasbourg, Université de Strasbourg, CNRS, UMR 7550, 11 rue de l'université, F-67000 Strasbourg, France
*
†Email address for correspondence: hubert.baty@unistra.fr
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Abstract

A numerical study of magnetic reconnection in two-dimensional resistive magnetohydrodynamics for Sweet–Parker current sheets that are subject to plasmoid instability is carried out. The effect of the initial upstream plasma-β on the critical Lundquist number Sc for the onset of plasmoid instability is studied. Our results indicate a weak dependence, with a value of Sc ≃ 1.5 × 104 in the limit of zero β, and a value of Sc ≃ 1 × 104 in the opposite high β regime (β ≫ 1). A similar dependence was previously obtained (Ni et al. 2012 Phys. Plasm. 19, 072902), but with a somewhat much larger variation, that can be largely attributed to the different configuration setup used in their study, and also to the definition of the Lundquist number. This conclusion does not depend significantly on the equilibrium used, i.e. both initial configurations with either plasma density or temperature spatial variations lead to very similar results. Finally, we show that the inner plasmoid structure appears as an under-dense hotted magnetic island, with a local temperature increase that is noticeably strengthened for low β cases.

Type
Papers
Information
Journal of Plasma Physics , Volume 80 , Issue 5 , October 2014 , pp. 655 - 665
Copyright
Copyright © Cambridge University Press 2014 

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References

REFERENCES

Bárta, M., Buchner, J., Karlický, M. and Skála, J. 2011 Astrophys. J. 737, 24.Google Scholar
Baty, H. 2012 Paper 1. Phys. Plasmas 19, 092110.Google Scholar
Baty, H., Forbes, T. G. and Priest, E. R. 2009 Phys. Plasmas 16, 012102.Google Scholar
Baty, H., Priest, E. R. and Forbes, T. G. 2006 Phys. Plasmas 13, 022312.CrossRefGoogle Scholar
Baty, H., Priest, E. R. and Forbes, T. G. 2009 Phys. Plasmas 16, 060701.Google Scholar
Bhattacharjee, A., Huang, Y. M. and Rogers, B. N. 2009 Phys. Plasmas 16, 112102.Google Scholar
Brackbill, R. B. and Barnes, D. C. 1980 J. Comput. Phys. 35, 426.Google Scholar
Collela, P. and Woodward, P. R. 1984 J. Comput. Phys. 54, 174.CrossRefGoogle Scholar
Harten, A. 1983 J. Comput. Phys. 49, 357.Google Scholar
Huang, Y. M. and Bhattacharjee, A. 2010 Phys. Plasmas 17, 062104.Google Scholar
Karlický, M., Bárta, M. and Nickeler, D. 2012 Astron. Astrophys. 541, A86.Google Scholar
Kliem, B., Karlický, M. and Benz, A. O. 2000 Astron. Astrophys. 360, 715.Google Scholar
Loureiro, N. F., Samtaney, R., Schekochihin, A. and Uzdensky, D. A. 2012 Phys. Plasmas 19, 042303.Google Scholar
Loureiro, N. F., Schekochihin, A. and Cowley, S. C. 2007 Phys. Plasmas 14, 100703.Google Scholar
Loureiro, N. F., Schekochihin, A. A. and Uzdensky, D. A. 2013 Phys. Rev. E 87, 0113102.CrossRefGoogle Scholar
Ni, L., Germaschewski, K., Huang, Y. M., Sullivan, B. P., Yang, H. and Bhattacharjee, A. 2010 Phys. Plasmas 17, 052109.CrossRefGoogle Scholar
Ni, L., Ziegler, U., Huang, Y., Lin, J. and Mei, Z. 2012 Phys. Plasmas 19, 072902.CrossRefGoogle Scholar
Parker, E. N. 1957 Phys. Rev. Lett., 107, 830.Google Scholar
Priest, E. R. and Forbes, T. G. 2000 Magnetic Reconnection. Cambridge, UK: Cambridge University Press.CrossRefGoogle Scholar
Samtaney, R., Loureiro, N. F., Uzdensky, D.A., Schekochihin, A. and Cowley, S. C. 2009 Phys. Rev. Lett. 103, 105004.Google Scholar
Scholer, M. 1989 J. Geophys. Res. 94, 8805.Google Scholar
Sweet, P. A. 1958 Electromagnetic Phenomena in Cosmic Physics (ed. Lenhert, B.). London: Cambridge University Press, pp. 135.Google Scholar
Tóth, G. 1996 Astrophys. Lett. Commun. 34, 245.Google Scholar
Uzdensky, DA., Loureiro, N. F. and Schekochihin, A. A. 2010 Phys. Rev. Lett. 105, 235002.Google Scholar