Universal distribution of threshold forces at the depinning transition

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 74, Issue 4, 2006, Pages

  Fedorenko, Andrei A ^a   Le Doussal, Pierre ^a   Wiese, Kay Jörg ^a  

^a ECOLE NORMALE SUPÉRIEURE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; ELASTICITY;

DEPINNING; FUNCTIONAL RENORMALIZATION; QUASISTATIC LIMIT;

MATERIALS SCIENCE;

EID: 33750045208     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.74.041110     Document Type: Article

References (47)

1. D. S. Fisher, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00008-8 301, 113 (1998).
2. M. Kardar, Phys. Rep. PRPLCM 0370-1573 10.1016/S0370-1573(98)00007-6 301, 85 (1998).
3. S. Brazovskii and T. Nattermann, Adv. Phys. ADPHAH 0001-8732 10.1080/00018730410001684197 53, 177 (2004).
4. K. Binder and A. P. Young, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.58.801 58, 801 (1986).
5. D. E. Feldman, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.88. 177202 88, 177202 (2002);
6. P. Le Doussal and K. J. Wiese, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.197202 96, 197202 (2006).
7. G. GrÃner, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.60. 1129 60, 1129 (1988).
8. G. Blatter, M. V. Feigel’man, V. B. Geshkenbein, A. I. Larkin, and V. M. Vinokur, Rev. Mod. Phys. RMPHAT 0034-6861 10.1103/RevModPhys.66.1125 66, 1125 (1994).
9. T. Giamarchi and P. Le Doussal, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.72.1530 72, 1530 (1994);
10. T. Giamarchi and P. Le Doussal, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.52.1242 52, 1242 (1995).
11. S. Lemerle, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.80.849 80, 849 (1998).
12. D. Wilkinsion and J. F. Willemsen, J. Phys. A JPHAC5 0305-4470 10.1088/0305-4470/16/14/028 16, 3365 (1983).
13. S. Zapperi and M. Zaiser, Mater. Sci. Eng., A MSAPE3 0921-5093 309-310, 348 (2000).
14. D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.31.1396 31, 1396 (1985).
15. D. S. Fisher, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.56. 1964 56, 1964 (1986).
16. T. Nattermann, S. Stepanow, L.-H. Tang, and H. Leschhorn, J. Phys. II JPAHER 1155-4312 10.1051/jp2:1992214 2, 1483 (1992).
17. O. Narayan and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.48.7030 48, 7030 (1993).
18. P. Chauve, P. Le Doussal, and K. Wiese, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.86.1785 86, 1785 (2001).
19. P. Le Doussal, K. J. Wiese, and P. Chauve, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.66.174201 66, 174201 (2002).
20. K. P. J. KytölÃ, E. T. SeppÃlÃ, and M. J. Alava, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-00360-9 62, 35 (2003).
21. A. A. Fedorenko and S. Stepanow, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.056115 68, 056115 (2003).
22. A. Rosso, W. Krauth, P. Le Doussal, J. Vannimenus, and K. J. Wiese, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.036128 68, 036128 (2003).
23. P. Le Doussal and K. J. Wiese, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.68.046118 68, 046118 (2003).
24. B. Drossel and M. Kardar, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.52.4841 52, 4841 (1995).
25. P. Chauve, T. Giamarchi, and P. Le Doussal, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.62.6241 62, 6241 (2000).
26. L. Balents and P. Le Doussal, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.061107 69, 061107 (2004);
27. L. Balents and P. Le Doussal, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2003-10170-7 65, 685 (2004);
28. e-print cond-mat/0312338.
29. V. M. Vinokur, M. C. Marchetti, and L.-W. Chen, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.77.1845 77, 1845 (1996).
30. C. Monthus and T. Garel, Eur. Phys. J. B EPJBFY 1434-6028 10.1140/epjb/e2005-00417-7 48, 393 (2005);
31. C. Monthus and T. Garel, J. Stat. Mech.: Theory Exp. ZZZZZZ 1742-5468 (2005), P12011;
32. e-print cond-mat/0605448.
33. A. Rosso and W. Krauth, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.187002 87, 187002 (2001);
34. A. Rosso and W. Krauth, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.65.025101 65, 025101 (R) (2002).
35. C. J. Bolech and A. Rosso, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.125701 93, 125701 (2004).
36. J. T. Chayes, L. Chayes, D. S. Fisher, and T. Spencer, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.57.2999 57, 2999 (1986).
37. P. Le Doussal and T. Giamarchi, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.11356 57, 11356 (1998).
38. O. Duemmer and W. Krauth, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.71.061601 71, 061601 (2005).
39. A. Rosso, A. K. Hartmann, and W. Krauth, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.67.021602 67, 021602 (2003).
40. A. A. Middleton, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett. 68.670 68, 670 (1992).
41. J. Galambos, The Asymptotic Theory of Extreme Order Statistics (R. E. Krieger Publishing Company, Malabar, Florida, 1987).
42. E. Vincent, V. Dupuis, M. Alba, J. Hammann, and J.-P. Bouchaud, Europhys. Lett. EULEEJ 0295-5075 10.1209/epl/i2000-00323-8 50, 674 (2000).
43. T. Nattermann, V. Pokrovsky, and V. M. Vinokur, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.197005 87, 197005 (2001);
44. I. F. Lyuksyutov, T. Nattermann, and V. Pokrovsky, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.59.4260 59, 4260 (1999).
45. P. Le Doussal, K. J. Wiese, and P. Chauve, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.69.026112 69, 026112 (2004).
46. O. Narayan and D. S. Fisher, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.46.11520 46, 11520 (1992).
47. T. Antal, M. Droz, G. Györgyi, and Z. Rácz, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.87.240601 87, 240601 (2001).