The European Physical Journal B

, Volume 70, Issue 1, pp 145–151 | Cite as

Lifetime of the superconductive state in short and long Josephson junctions

  • G. Augello
  • D. Valenti
  • A. L. Pankratov
  • B. Spagnolo
Topical issue on Generalized Entropies and Non-Linear Kinetics

Abstract

We study the transient statistical properties of short and long Josephson junctions under the influence of thermal and correlated fluctuations. In particular, we investigate the lifetime of the superconductive metastable state finding the presence of noise induced phenomena. For short Josephson junctions we investigate the lifetime as a function both of the frequency of the current driving signal and the noise intensity and we find how these noise-induced effects are modified by the presence of a correlated noise source. For long Josephson junctions we integrate numerically the sine-Gordon equation calculating the lifetime as a function of the length of the junction both for inhomogeneous and homogeneous bias current distributions. We obtain a non-monotonic behavior of the lifetime as a function of the frequency of the current driving signal and the correlation time of the noise. Moreover we find two maxima in the non-monotonic behaviour of the mean escape time as a function of the correlated noise intensity.

PACS

05.10.-a Computational methods in statistical physics and nonlinear dynamics 05.40.Ca Noise 74.40.+k Fluctuations 85.25.Cp Josephson devices 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. G. Wendin, V.S. Shumeiko, Low Temp. Phys. 33, 724 (2007) Google Scholar
  2. J.H. Kim, R.P. Dhungana, K.S. Park, Phys. Rev. B 73, 214506 (2006) Google Scholar
  3. A.B. Zorin et al., Phys. Rev. B 74, 014508 (2006) Google Scholar
  4. A.J. Berkley et al., Phys. Rev. B 68, 060502(R) (2003) Google Scholar
  5. C.H. Wu et al., Nanotechnology 19, 315304 (2008) Google Scholar
  6. Y. Nakamura et al., Nature 398, 786 (1999) Google Scholar
  7. J.R. Friedman et al., Nature 406, 43 (2000) Google Scholar
  8. J.M. Martinis et al., Phys. Rev. Lett. 89, 117901 (2002) Google Scholar
  9. L. Hao, J.C. Macfarlane, Physica C 292, 315 (1997) Google Scholar
  10. H. Xu et al., Phys. Rev. B 71, 064512 (2005) Google Scholar
  11. A. Marx et al., Phys. Rev. B 51, 6735 (1995) Google Scholar
  12. C.M. Falco et al., Phys. Rev. B 10, 1865 (1974) Google Scholar
  13. J.T. Peltonen, A.V. Timofeev, M. Meschke, J.P. Pekola, J. Low Temp. Phys. 146, 135 (2006) Google Scholar
  14. Y. Yu et al., Science 296, 889 (2002) Google Scholar
  15. Y. Yu, S. Han, Phys. Rev. Lett. 91, 127003 (2003) Google Scholar
  16. G. Sun et al., Phys. Rev. E 75, 021107 (2007) Google Scholar
  17. D. Gulevich, F. Kusmartsev, Physica C 435, 87 (2006) Google Scholar
  18. C.R. Doering, J.C. Gadoua, Phys. Rev. Lett. 69, 2318 (1992); R.N. Mantegna, B. Spagnolo, Phys. Rev. Lett. 84, 3025 (2000) Google Scholar
  19. A.A. Dubkov, N.V. Agudov, B. Spagnolo, Phys. Rev. E 69, 061103(7) (2004) Google Scholar
  20. A.L. Pankratov, B. Spagnolo, Phys. Rev. Lett. 93, 177001(4) (2004) Google Scholar
  21. R.N. Mantegna, B. Spagnolo, Phys. Rev. Lett. 76, 563 (1996); N. Agudov, B. Spagnolo, Phys. Rev. Rap. Comm. E 64, 035102(R) (2001) Google Scholar
  22. B. Spagnolo, A.A. Dubkov, N.V. Agudov, Acta Physica Polonica B 35, 1419 (2004); A.A. Dubkov, N.V. Agudov, B. Spagnolo, Phys. Rev. E 69, 061103(7) (2004); A. Fiasconaro, B. Spagnolo, S. Boccaletti, Phys. Rev. E 72, 061110(5) (2005); B. Spagnolo et al., Acta Physica Polonica B 38, 1925 (2007) Google Scholar
  23. R.F. Voss, R.A. Webb, Phys. Rev. Lett. 47, 265 (1981) Google Scholar
  24. M. Büttiker, E.P. Harris, R. Landauer, Phys. Rev. B 28, 1268 (1983) Google Scholar
  25. H. Kashiwaya, T. Matsumoto, H. Shibata, S. Kashiwaya, H. Eisaki, Y. Yoshida, S. Kawabata, Y. Tanaka, J. Phys. Soc. Jpn 77, 104708 (2008) Google Scholar
  26. A. Barone, G. Paternò, Physics and Application of the Josephson Effect (Wiley, New York, 1982), p. 122 Google Scholar
  27. A.V. Gordeeva, A.L. Pankratov, B. Spagnolo, Int. J. Bif. Chaos 18, 2823 (2008) Google Scholar
  28. C.W. Gardiner, Handbook of Stochastic Methods (Springler-Verlag, Berlin, 2004), p. 106 Google Scholar
  29. D.R. Gulevich et al., Phys. Rev. Lett. 101, 127002 (2008); C. Cattuto, F. Marchesoni, Phys. Rev. Lett. 79, 5070 (1997) Google Scholar
  30. K.G. Fedorov, A.L. Pankratov, Phys. Rev. B 76, 024504 (2007) Google Scholar
  31. K.G. Fedorov, A.L. Pankratov, B. Spagnolo, Int. J. Bif. Chaos 18, 2855 (2008) Google Scholar
  32. P.S. Lomdahl, O.H. Soerensen, P.L. Christiansen, Phys. Rev. B 25, 5737 (1982) Google Scholar
  33. Y. Zhang, Theoretical and experimental studies of the flux-flow type Josephson oscillator, Ph.D. thesis, Chalmers University of Technology, 1991, p. 57 Google Scholar

Copyright information

© EDP Sciences, SIF, Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • G. Augello
    • 1
  • D. Valenti
    • 1
  • A. L. Pankratov
    • 2
  • B. Spagnolo
    • 1
  1. 1.Dipartimento di Fisica e Tecnologie Relative, Group of Interdisciplinary PhysicsUniversità di Palermo and CNISM-INFMPalermoItaly
  2. 2.Institute for Physics of Microstructures of RASNizhny NovgorodRussia

Personalised recommendations