Skip to main content

Development of the magneto-differential-rotational instability in magnetorotational supernova

Abstract

In the paper we discuss the results of simulations of magnetorotational supernova explosion. Due to the nonuniform core collapse the rotation of the core becomes differential. In the case when initial poloidal magnetic field is nonzero it starts to amplify with time. At the initial stage of the amplification of the magnetic field its growth is linear. Later the exponential growth of all components of the magnetic field show the development of Magneto-Rotational-Instability of special type (Tayler-type instability). We call it Magneto-Differential-Rotational-Instability (MDRI).

This is a preview of subscription content, access via your institution.

References

  1. G. S. Bisnovatyi-Kogan, Sov. Astron. 14, 652 (1971).

    ADS  MathSciNet  Google Scholar 

  2. G. S. Bisnovatyi-Kogan, Yu. P. Popov, and A. A. Samochin, Astrophys. Space Sci. 41, 321 (1976).

    ADS  Article  Google Scholar 

  3. G. S. Bisnovatyi-Kogan, Stellar Physics (Springer, 2001).

  4. J. M. LeBlanc and J. R. Wilson, Astrophys. J. 161, 541 (1970).

    ADS  Article  Google Scholar 

  5. N. V. Ardelyan, G. S. Bisnovatyi-Kogan, and Y. P. Popov, Sov. Astron. 23, 705 (1979).

    ADS  Google Scholar 

  6. E. Mueller and W. Hillebrandt, Astron. Astrophys. 80, 147 (1979).

    ADS  Google Scholar 

  7. N. Ohnishu, Tech. Rep. Inst. At. En. Kyoto Univ., No. 198 (1983).

    Google Scholar 

  8. E. M. D. Symbalisty, Astrophys. J. 285, 729 (1984).

    ADS  Article  Google Scholar 

  9. N. V. Ardeljan, G. S. Bisnovatyi-Kogan, and S. G. Moiseenko, 355, 1181 (2000).

  10. S. Akiyama, J. C. Wheeler, D. L. Meier, and I. Lichtenstadt, Astrophys. J. 584, 954 (2003).

    ADS  Article  Google Scholar 

  11. S. Yamada and H. Sawai, Astrophys. J. 608, 907 (2004).

    ADS  Article  Google Scholar 

  12. T. Takiwaki, K. Kotake, Sh. Nagataki, and K. Sato, Astrophys. J. 616, 1086 (2004).

    ADS  Article  Google Scholar 

  13. K. Kotake, H. Sawai, S. Yamada, and K. Sato, Astrophys. J. 608, 391 (2004).

    ADS  Article  Google Scholar 

  14. N. V. Ardeljan, G. S. Bisnovatyi-Kogan, and S. G. Moiseenko,Mon.Not. R. Astron. Soc. 359, 333 (2005).

    ADS  Article  Google Scholar 

  15. T. Yamasaki and S. Yamada, Astrophys. J. 623, 1000 (2005).

    ADS  Article  Google Scholar 

  16. H. Sawai, S. Yamada, and H. Suzuki, Astrophys. J. Lett. 770, L19 (2013).

    Google Scholar 

  17. P. Mosta, S. Richers, C. D. Ott, R. Haas, A. L. Piro, K. Boydstun, E. Abdikamalov, Ch. Reisswig, and E. Schnetter, Astrophys. J. Lett. 785, L29 (2014).

    Google Scholar 

  18. R. Tayler, Mon. Not. R. Astron. Soc. 161, 365 (1973).

    ADS  Article  Google Scholar 

  19. N. V. Ardeljan and K. V. Kosmachevskii, Comput. Math. Model. 6, 209 (1995).

    Article  MathSciNet  Google Scholar 

  20. N. V. Ardeljan, K. V. Kosmachevskii, and S. V. Chernigovskii, Problems of Construction and Research of Conservative Difference Schemes for Magneto-Gas-Dynamics (Mosk. Gos. Univ., Moscow, 1987) [in Russian].

  21. V. M. Goloviznin, A. A. Samarskii, and A. P. Favorskii, Preprint IPM RAN No. 70 (Inst. Prikl. Matem. im. Keldysha, RAN, 1976).

  22. S. G. Moiseenko, G. S. Bisnovatyi-Kogan, and N. V. Ardeljan, Mon. Not. R. Astron. Soc. 370, 501 (2006).

    ADS  Article  Google Scholar 

  23. G. S. Bisnovatyi-Kogan, S. G. Moiseenko, and N. V. Ardeljan, Astron. Rep. 52, 997 (2008).

    ADS  Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to S. G. Moiseenko or G. S. Bisnovatyi-Kogan.

Additional information

The text was submitted by the authors in English.

Paper was presented at the international conference in honor of Ya.B. Zeldovich 100th Anniversary “Subatomic Particles, Nucleons, Atoms, Universe: Processes and Structure” held in Minsk, Belarus, in March 10–14, 2014. Published by the recommendation of the special Editors: S.Ya. Kilin, R. Ruffini, and G.V. Vereshchagin.

Rights and permissions

Reprints and Permissions

About this article

Verify currency and authenticity via CrossMark

Cite this article

Moiseenko, S.G., Bisnovatyi-Kogan, G.S. Development of the magneto-differential-rotational instability in magnetorotational supernova. Astron. Rep. 59, 573–580 (2015). https://doi.org/10.1134/S1063772915070069

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1063772915070069

Keywords

  • Astronomy Report
  • Core Mass
  • Supernova Explosion
  • Triangular Grid
  • Core Collapse