Universal statistics of the critical depinning force of elastic systems in random media

Physical Review Letters

Volumn 93, Issue 12, 2004, Pages

  Bolech, C J ^a   Rosso, Alberto ^a  

^a UNIVERSITY OF GENEVA   (Switzerland)

Author keywords

[No Author keywords available]

Indexed keywords

CRACK PROPAGATION; EQUATIONS OF MOTION; HARMONIC ANALYSIS; INTERFACES (MATERIALS); LOADS (FORCES); PROBABILITY DISTRIBUTIONS; RANDOM PROCESSES; STATISTICS;

CRITICAL FORCE; CRITICAL THRESHOLD; ELASTIC SYSTEMS; VARIABLES;

ELASTICITY;

EID: 19644373739     PISSN: 00319007     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevLett.93.125701     Document Type: Article

References (35)

1. S. Lemerle et al., Phys. Rev. Lett. 80, 849 (1998).
2. T. Tybell, P. Paruch, T. Giamarchi, and J. M. Triscone, Phys. Rev. Lett. 89, 097601 (2002).
3. S. Moulinet, A. Rosso, W. Krauth, and E Rolley, Phys. Rev. E 69, 035103R (2004).
4. E. Bouchaud, J.P. Bouchaud, D. S. Fisher, S. Ramanathan, and J. R. Rice, J. Mech. Phys. Solids 50, 1703 (2002).
5. G. Grüner, Rev. Mod Phys. 60, 1129 (1988).
6. G. Blatter et al., Rev. Mod Phys. 66, 1125 (1994).
7. R. Chitra, T. Giamarchi, and P. Le Doussal, Phys. Rev. B 65, 035312 (2001).
8. P. Chauve, P. Le Doussal, and K. J. Wiese, Phys. Rev. Lett. 86, 1785 (2001).
9. A. A. Middleton and D. S. Fisher, Phys. Rev. B 47, 3530 (1993).
10. T. Nattermann, S. Stepanow, L. H. Tang, and H. Leschhorn, J. Phys. II (France) 2, 1483 (1992).
11. O. Narayan and D. S. Fisher, Phys. Rev. B 48, 7030 (1993).
12. O. Narayan and D. S. Fisher, Phys. Rev. B 46, 11520 (1992).
13. P. Le Doussal, K. J. Wiese, and P. Chauve, Phys. Rev. B 66, 174201 (2002).
14. S. Coles, An Introduction to the Statistical Modeling of Extreme Values (Springer, London, 2001).
15. J. Galambos, The Asymptotic Theory of Extreme Order Statistics (Krieger, Malabar, 1987).
16. J.-P. Bouchaud and M. Mézard, J. Phys. A 30, 7997 (1997).
17. D. Carpentier and P. Le Doussal, Phys. Rev. E 63, 026110 (2001).
18. P. Le Doussal and C. Monthus, Physica A (Amsterdam) 317, 140 (2003).
19. G. Györgyi, P. C. W. Holdsworth, B. Portelli, and Z. Rácz, Phys. Rev. E 68, 056116 (2003).
20. D. S. Dean and S. N. Majumdar, Phys. Rev. E 64, 046121 (2001).
21. A. A. Moreira, J. S. Andrade, and L. A. N. Amaral, Phys. Rev. Lett. 89, 268703 (2002).
22. A. A. Middleton, Phys. Rev. Lett. 68, 670 (1992).
23. A. Rosso and W. Krauth, Phys. Rev. B 65, 012202 (2002).
24. We recall that the Gumbel distribution is given by (π/√6)g(x) exp[-g(x)], where g(x) = exp(-xπ/√6 - γ) and γ is Euler's constant.
25. A. Rosso and W. Krauth, Phys. Rev. E 65, R025101 (2002).
26. A. Rosso, A. K. Hartmann, and W. Krauth, Phys. Rev. E 67, 021602 (2003).
27. J. T. Chayes, L. Chayes, D. S. Fisher, and T. Spencer, Phys. Rev. Lett. 57, 2999 (1986).
28. F. Pázmándi, R. T. Scalettar, and G. T. Zimányi, Phys. Rev. Lett. 79, 5130 (1997).
29. H. Leschhorn and L. Tang, Phys. Rev. Lett. 70, 2973 (1993).
30. S. Ramanathan and D. S. Fisher, Phys. Rev. B 58, 6026 (1998).
31. R. Skoe, D. Vandembroucq, and S. Roux, Int. J. Mod. Phys. C 13, 751 (2002); D. Vandembroucq, R. Skoe, and S. Roux, cond-mat/0311485.
32. R. Skoe, D. Vandembroucq, and S. Roux, Int. J. Mod. Phys. C 13, 751 (2002); D. Vandembroucq, R. Skoe, and S. Roux, cond-mat/0311485.
33. J.-C. Baret, D. Vandembroucq, and S. Roux, Phys. Rev. Lett. 89, 195506 (2002).
34. A. Rosso, W. Krauth, P. Le Doussal, J. Vannimenus, and K. J. Wiese, Phys. Rev. E 68, 036128 (2003).
35. T. Antal, M. Droz, G. Györgyi, and Z. Rácz, Phys. Rev. E 65, 046140 (2001).