Depinning of a domain wall in the 2d random-field Ising model

European Physical Journal B

Volumn 3, Issue 4, 1998, Pages 485-496

  Drossel, B ^a   Dahmen, K ^b  

^a UNIVERSITY OF MANCHESTER   (United Kingdom)

^b HARVARD UNIVERSITY   (United States)

Author keywords

05.70.Ln Nonequilibrium thermodynamics, irreversible processes; 47.55.Lh Flows through porous media; 75.60.Ch Domain walls and domain structure

Indexed keywords

COMPUTER SIMULATION; MAGNETIC FIELDS; MATHEMATICAL MODELS; RANDOM PROCESSES;

DEPINNING; RANDOM-FIELD ISING MODEL;

MAGNETIC DOMAINS;

EID: 0031620580     PISSN: 14346028     EISSN: None     Source Type: Journal    
DOI: 10.1007/s100510050339     Document Type: Article

References (35)

1. T. Nattermann, Theory of the Random Field Ising Model, to appear in Spin Glasses and Random Fields, edited by P. Young (World Scientific, Singapore, 1997).
2. H. Ji, M.O. Robbins, Phys. Rev. A 44, 2538 (1991).
3. N. Martys, M.O. Robbins, M. Cieplak, Phys. Rev. B 44, 12294 (1991).
4. T. Nattermann, S. Stepanow, L.H. Tang, H. Leschhorn, J. Phys. II France 2, 1483 (1992).
5. O. Narayan, D.S. Fisher, Phys. Rev. B 48, 7030 (1993).
6. H. Leschhorn, T. Nattermann, S. Stepanow, L.-H. Tang, Ann. Physik, 6, 1 (1997).
7. H. Ji, M.O. Robbins, Phys. Rev. B 46, 14 519 (1992).
8. B. Koiller, H. Ji, M.O. Robbins, Phys. Rev. B 46, 5258 (1992).
9. B. Koiller, H. Ji, M.O. Robbins, Phys. Rev. B 45, 7762 (1992).
10. G. Aeppli, R. Bruinsma, J. Magn. Magn. Mat. 54, 25 (1986).
11. O. Perković, K.A. Dahmen, J.P. Sethna, Phys. Rev. Lett. 75, 4528 (1995), and preprint cond-mat/9609072 (1996).
12. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
13. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
14. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
15. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
16. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
17. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
18. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
19. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
20. O. Narayan, D.S. Fisher, Phys. Rev. Lett. 68, 3615 (1992); Phys. Rev. B 46, 11520 (1992); Phys. Rev. B 48, 7030 (1993) (CDW); C. Myers, J.P. Sethna, Phys. Rev. B 47, 11171 (1993), and Phys. Rev. B 47, 11194 (1993) (CDW); O. Narayan, A.A. Middleton, Phys. Rev. B 49, 244 (1994) (CDW); D. Cule, T. Hwa, Phys. Rev. Lett. 77, 278 (1996) (earthquakes); D.S. Fisher, K. Dahmen, S. Ramanathan, Y. Ben-Zion, Phys. Rev. Lett. 78, 4885 (1997) (earthquakes); D. Ertaş, M. Kardar, Phys. Rev. E 49, R2532 (1994) (contact lines).
21. S. Zapperi, Pierre Cizeau, G. Durin, H. E. Stanley, Phys. Rev. Lett. 79, 4669 (1997).
22. M.O. Robbins, private communication.
23. L.-H. Tang, M. Kardar, D. Dhar, Phys. Rev. Lett. 74, 920 (1995).
24. c = 0 needs not necessarily be true for a lower critical dimension. The Kosterlitz Thouless transition [25], for example occurs at the lower critical dimension at a nonzero critical temperature.
25. D. Stauffer, A. Aharony, Introduction to percolation theory, revised second edition (Taylor & Francis, London, Bristol, PA 1994).
26. 0 in [19].
27. R. Blossey, T. Kinoshita, J. Dupont-Roc, Physica A 248, 247 (1998).
28. J. Blease, J.W. Essam, C.M. Place, Phys. Lett. A 57, 199 (1976).
29. A.J. Bray, M.A. Moore, J. Phys. C 18, L927 (1985).
30. K. Dahmen, J.P. Sethna, Phys. Rev. B 53, 14 872 (1996); Phys. Rev. Lett. 71, 3222 (1993); K. Dahmen, Ph.D. thesis, Cornell University, 1995.
31. K. Dahmen, J.P. Sethna, Phys. Rev. B 53, 14 872 (1996); Phys. Rev. Lett. 71, 3222 (1993); K. Dahmen, Ph.D. thesis, Cornell University, 1995.
32. K. Dahmen, J.P. Sethna, Phys. Rev. B 53, 14 872 (1996); Phys. Rev. Lett. 71, 3222 (1993); K. Dahmen, Ph.D. thesis, Cornell University, 1995.
33. J. Adler, Physica A 171, 453 (1991).
34. C.M. Chaves, B. Koiller, Physica A 218, 271 (1995).
35. J.M. Kosterlitz, D.J. Thouless, J. Phys. C, 6, 1181 (1973).