Dendritic flux avalanches and nonlocal electrodynamics in thin superconducting films

Physical Review Letters

Volumn 94, Issue 3, 2005, Pages

  Aranson, Igor S ^a   Gurevich, Alex ^b   Welling, Marco S ^c   Wijngaarden, Rinke J ^c   Vlasko Vlasov, Vitalii K ^a   Vinokur, Valerii M ^a   Welp, Ulrich ^a  

^a ARGONNE NATIONAL LABORATORY   (United States)

^b University of Wisconsin Madison   (United States)

^c VU UNIVERSITY AMSTERDAM   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DYNAMIC FLUX PATTERNS; JOULE HEATING; MAGNETIC INDUCTION; NONLOCAL ELECTRODYNAMICS;

CURRENT DENSITY; DENDRIMERS; ELECTRODYNAMICS; HEAT FLUX; INTERPOLATION; MATHEMATICAL MODELS; SPECIFIC HEAT; THERMAL CONDUCTIVITY; THIN FILMS;

SUPERCONDUCTING FILMS;

EID: 18044381526     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.94.037002     Document Type: Article

References (34)

1. V. K. Vlasko-Vlasov et al., Physica (Amsterdam) 222C, 361 (1994); M. R. Koblishka et al., Europhys. Lett. 41, 419 (1998).
2. V. K. Vlasko-Vlasov et al., Physica (Amsterdam) 222C, 361 (1994); M. R. Koblishka et al., Europhys. Lett. 41, 419 (1998).
3. R. Surdeanu et al., Phys. Rev. Lett. 83, 2054 (1999).
4. S. Field et al., Phys. Rev. Lett. 74, 1206 (1995); E. R. Nowak et al., Phys. Rev. B 55, 11702 (1997).
5. S. Field et al., Phys. Rev. Lett. 74, 1206 (1995); E. R. Nowak et al., Phys. Rev. B 55, 11702 (1997).
6. E. Altshuler and T. H. Johansen, Rev. Mod. Phys. 76, 471 (2004).
7. P. Leiderer et al., Phys. Rev. Lett. 71, 2646 (1993); U. Bolz et al., Europhys. Lett. 64, 517 (2003); Physica (Amsterdam) 388C, 715 (2003).
8. P. Leiderer et al., Phys. Rev. Lett. 71, 2646 (1993); U. Bolz et al., Europhys. Lett. 64, 517 (2003); Physica (Amsterdam) 388C, 715 (2003).
9. P. Leiderer et al., Phys. Rev. Lett. 71, 2646 (1993); U. Bolz et al., Europhys. Lett. 64, 517 (2003); Physica (Amsterdam) 388C, 715 (2003).
10. C. A. Duran et al., Phys. Rev. B 52, 75 (1995).
11. M. S. Welling et al., Physica (Amsterdam) 406C, 100 (2004).
12. I. A. Rudnev et al., Cryogenics 43, 663 (2003).
13. M. Baziljevich et al., Physica (Amsterdam) 369C, 93 (2002); T. H. Johansen et al., Europhys. Lett. 59, 599 (2002); F. L. Barkov et al., Phys. Rev. B 67, 064513 (2003).
14. M. Baziljevich et al., Physica (Amsterdam) 369C, 93 (2002); T. H. Johansen et al., Europhys. Lett. 59, 599 (2002); F. L. Barkov et al., Phys. Rev. B 67, 064513 (2003).
15. M. Baziljevich et al., Physica (Amsterdam) 369C, 93 (2002); T. H. Johansen et al., Europhys. Lett. 59, 599 (2002); F. L. Barkov et al., Phys. Rev. B 67, 064513 (2003).
16. I. Aranson, A. Gurevich, and V. Vinokur, Phys. Rev. Lett. 87, 067003 (2001).
17. A. V. Gurevich and R. G. Mints, Rev. Mod. Phys. 59, 941 (1987).
18. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1992).
19. J. S. Langer, Rev. Mod. Phys. 52, 1 (1980).
20. E. H. Brandt, Rep. Prog. Phys. 58, 1465 (1995);
21. A. Gurevich, Int. J. Mod. Phys. B 9, 1045 (1995).
22. Because scales of our flux structures are much smaller that the film width, we used a large-k asymptotics of the kernel K̂ in the general equation for g(r, t) by E. H. Brandt, Phys. Rev. B 52, 15 442 (1995).
23. See EPAPS Document No. E-PRLTAO-94-002506 for an extensive collection of movies of dendritic flux and temperature patterns. A direct link to this document may be found in the online article's HTML reference section. The document may also be reached via the EPAPS homepage (http://www.aip.org/ pubservs/epaps.html) or from ftp.aip.org in the directory /epaps/. See the EPAPS homepage for more information.
24. V. K. Vlasko-Vlasov, G. W. Crabtree, U. Welp, and V. I. Nikitenko, in Physics and Materials Science of Vortex States, Flux Pinning and Dynamics, NATO Advanced Study Institutes, Ser. E, Vol. 356 (Kluwer, Dordrecht, 1999), p. 205; D. Larbalestier, A. Gurevich, D. M. Feldman, and A. Polyanskii, Nature (London) 414, 368 (2001); Ch. Jooss et al., Rep. Prog. Phys. 65, 651 (2002).
25. V. K. Vlasko-Vlasov, G. W. Crabtree, U. Welp, and V. I. Nikitenko, in Physics and Materials Science of Vortex States, Flux Pinning and Dynamics, NATO Advanced Study Institutes, Ser. E, Vol. 356 (Kluwer, Dordrecht, 1999), p. 205; D. Larbalestier, A. Gurevich, D. M. Feldman, and A. Polyanskii, Nature (London) 414, 368 (2001); Ch. Jooss et al., Rep. Prog. Phys. 65, 651 (2002).
26. V. K. Vlasko-Vlasov, G. W. Crabtree, U. Welp, and V. I. Nikitenko, in Physics and Materials Science of Vortex States, Flux Pinning and Dynamics, NATO Advanced Study Institutes, Ser. E, Vol. 356 (Kluwer, Dordrecht, 1999), p. 205; D. Larbalestier, A. Gurevich, D. M. Feldman, and A. Polyanskii, Nature (London) 414, 368 (2001); Ch. Jooss et al., Rep. Prog. Phys. 65, 651 (2002).
27. A. L. Rakhmanov et al., Phys. Rev. B 70, 224502 (2004).
28. R. G. Mints and A. L. Rakhmanov, Rev. Mod. Phys. 53, 551 (1981).
29. E. H. Brandt and M. V. Indenbom, Phys. Rev. B 48, 12 893 (1994); E. Zeldov et al., ibid. 49, 9802 (1994).
30. E. H. Brandt and M. V. Indenbom, Phys. Rev. B 48, 12 893 (1994); E. Zeldov et al., ibid. 49, 9802 (1994).
31. R. G. Mints and E. H. Brandt, Phys. Rev. B 54, 12421 (1996); A. Gurevich, Appl. Phys. Lett. 78, 1891 (2001).
32. R. G. Mints and E. H. Brandt, Phys. Rev. B 54, 12421 (1996); A. Gurevich, Appl. Phys. Lett. 78, 1891 (2001).
33. A. Gurevich and M. Friesen, Phys. Rev. B 62, 4004 (2000).
34. V. K. Vlasko-Vlasov et al., Phys. Rev. B 69, 140504 (2004).