Skip to main content
Log in

The Bradbury Butterfly Effect in Long Josephson Junctions

  • Published:
Journal of Superconductivity and Novel Magnetism Aims and scope Submit manuscript

Abstract

In a well-known science fiction novel by Ray Bradbury, a butterfly in the pre-historic past is accidentally crushed by time travelers and this seemingly insignificant event radically changes history. We will call this the “Bradbury Butterfly” Effect (BBE). We know that such an effect occurs in Long Josephson Junctions as described by a time-dependent nonlinear sine-Gordon equation. This equation states that any alteration within the initial perturbation fundamentally changes the asymptotic state of the system. The actual manifestation of this effect is proven by a numerical simulation of the time-dependent sine-Gordon equation.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. N. Grønbech-Jensen, S. A. Hattel, and M. R. Samuelsen, Phys. Rev. B 45, 12457 (1992).

    Article  Google Scholar 

  2. A. Shnirman, E. Ben-Jacob, and B. Malomed, Phys. Rev. B 56, 14677 (1997).

    Article  Google Scholar 

  3. G. Carapella, Phys. Rev. B 59, 1407 (1999).

    Article  Google Scholar 

  4. M. V. Fistul, E. Goldobin, and A. V. Ustinov, Phys. Rev. B 64, 092501 (2001).

    Article  Google Scholar 

  5. C. Bruder, L. I. Glazman, A. I. Larkin, J. E. Mooij, and A. van Oudenaarden, Phys. Rev. B 59, 1383 (1999).

    Article  Google Scholar 

  6. W. J. Yeh, O. G. Symko, and D. J. Zheng, Phys. Rev. B 42, 4080 (1990).

    Article  Google Scholar 

  7. A. Davidson and P. Santhanam, Phys. Rev. B 46, 3368 (1992).

    Article  Google Scholar 

  8. A. Kenfack and T. C. Kofané, Phys. Rev. B 52, 10359 (1995).

    Article  Google Scholar 

  9. G. Carapella, N. Martucciello, and G. Costabile, Phys. Rev. B 66, 134531 (2002).

    Article  Google Scholar 

  10. A. K. Setty and G. F. Giuliani, Phys. Rev. B 61, 12285 (2000).

    Google Scholar 

  11. E. Goldobin, D. Koelle, and R. Kleiner, Phys. Rev. B 66, 100508R (2002).

    Article  Google Scholar 

  12. E. Goldobin, D. Koelle, and R. Kleiner, Phys. Rev. B 67, 224515 (2003).

    Article  Google Scholar 

  13. E. Goldobin, A. Sterck, T. Gaber, D. Koelle, and R. Kleiner, Phys. Rev. Lett. 92, 057005 (2004).

    Article  Google Scholar 

  14. A. Zenchuk and E. Goldobin, Phys. Rev. B 69, 024515 (2004).

    Article  Google Scholar 

  15. A. Buzdin and A. E. Koshelev, Phys. Rev. B 67, 220504R (2003).

    Article  Google Scholar 

  16. N. Lazarides, Phys. Rev. B 69, 212501 (2004).

    Article  Google Scholar 

  17. M. V. Fistul, A. Wallraff, Y. Koval, A. Lukashenko, B. A. Malomed, and A. V. Ustinov, Phys. Rev. Lett. 91, 257004 (2003).

    Article  Google Scholar 

  18. B. A. Malomed and A. V. Ustinov, Phys. Rev. B 69, 064502 (2004).

    Article  Google Scholar 

  19. L. L. Sohn, M. S. Rzchowski, J. U. Free, and M. Tinkham, Phys. Rev. B 47, 967 (1993).

    Article  Google Scholar 

  20. L. L. Sohn, M. T. Tuominen, M. S. Rzchowski, J. U. Free, and M. Tinkham, Phys. Rev. B 47, 975 (1993).

    Article  Google Scholar 

  21. E. Trias, T. P. Orlando, and H. S. J. van der Zant, Phys. Rev. B 54, 6368 (1996).

    Article  Google Scholar 

  22. F. M. Araujo-Moreira, P. Barbara, A. B. Cawthome, and C. J. Lobb, Phys. Rev. Lett. 78, 4625 (1997).

    Article  Google Scholar 

  23. F. V. Kusmartsev, D. M. Faruque, and D. J. Khomskii, Phys. Lett. A 249, 541 (1998).

    Article  Google Scholar 

  24. K. N. Yugay, N. V. Blinov, and I. V. Shirokov, Phys. Rev. B 49, 12036 (1994).

    Article  Google Scholar 

  25. K. N. Yugay, N. V. Blinov, and I. V. Shirokov, Phys. Rev. B 51, 12737 (1995).

    Article  Google Scholar 

  26. K. N. Yugay, N. V. Blinov, and I. V. Shirokov, Fiz. Niz. Temp. 25, 712 (1999) (Low Temp. Phys. 25, 530 (1999)).

    Google Scholar 

  27. K. N. Yugay, N. V. Blinov, and I. V. Shirokov, Fiz. Niz. Temp. 26, 1067 (2000) (Low Temp. Phys. 26, 1067 (2000)).

    Google Scholar 

  28. E. A. Yashkevich and K. N. Yugay, Vestnik Omsk Univ. 2, 22 (2001).

    Google Scholar 

  29. K. N. Yugay, E. A. Yashkevich, J. U. Kim, and Y. Huh, J. Korean Phys. Soc. 46, 1418 (2005).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. N. Yugay.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Yugay, K.N., Yashkevich, E.A. The Bradbury Butterfly Effect in Long Josephson Junctions. J Supercond 19, 135–142 (2006). https://doi.org/10.1007/s10948-006-0141-3

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s10948-006-0141-3

Keywords

Navigation