Absorbing states and elastic interfaces in random media: Two equivalent descriptions of self-organized criticality

Physical Review Letters

Volumn 98, Issue 15, 2007, Pages

  Bonachela, Juan A ^a   Chaté, Hugues ^b   Dornic, Ivan ^a,b   Muñoz, Miguel A ^a  

^a UNIVERSITY OF GRANADA   (Spain)

^b DIF   (France)

Author keywords

[No Author keywords available]

Indexed keywords

ABSORPTION; MATHEMATICAL MODELS; PHASE TRANSITIONS;

LINEAR INTERFACES; NONEQUILIBRIUM UNIVERSALITY; SANDPILE CRITICALITY; SANDPILE MODELS;

INTERFACES (MATERIALS);

EID: 34247149018     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.98.155702     Document Type: Article

References (34)

1. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987); PRLTAO 0031-9007 10.1103/PhysRevLett.59.381
2. H.J. Jensen, Self Organized Criticality (Cambridge University Press, Cambridge, England, 1998);
3. D. Dhar, Physica (Amsterdam) A263, 4 (1999). PHYADX 0378-4371 10.1016/S0378-4371(98)00493-2
4. G. Grinstein, in NATO Advanced Study Institute, Series B: Physics, edited by, A. McKane, (Plenum, New York, 1995), Vol. 344.
5. C. Tang and P. Bak, Phys. Rev. Lett. 60, 2347 (1988). PRLTAO 0031-9007 10.1103/PhysRevLett.60.2347
6. A. Vespignani, Phys. Rev. Lett. 81, 5676 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.81.5676
7. A. Vespignani Phys. Rev. E 62, 4564 (2000); PLEEE8 1063-651X 10.1103/PhysRevE.62.4564
8. R. Dickman, Braz. J. Phys. BJPHE6 0103-9733 30, 27 (2000).
9. K. Christensen, Phys. Rev. E 70, 067101 (2004). PLEEE8 1063-651X 10.1103/PhysRevE.70.067101
10. O. Narayan and A.A. Middleton, Phys. Rev. B PRBMDO 0163-1829 49, 244 (1994); 10.1103/PhysRevB.49.244
11. M. Paczuski and S. Boettcher, Phys. Rev. Lett. 77, 111 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.111
12. M.J. Alava and K.B. Lauritsen, Europhys. Lett. 53, 563 (2001). EULEEJ 0295-5075 10.1209/epl/i2001-00189-8
13. T. Nattermann, J. Phys. II 2, 1483 (1992); JPAHER 1155-4312 10.1051/jp2:1992214
14. H. Leschhorn, J. de Physique (France) 2, 1 (1997);
15. O. Narayan and D.S. Fisher, Phys. Rev. B PRBMDO 0163-1829 48, 7030 (1993). 10.1103/PhysRevB.48.7030
16. H. Leschhorn, Physica (Amsterdam) A195, 324 (1993). PHYADX 0378-4371 10.1016/0378-4371(93)90161-V
17. K. Christensen, Phys. Rev. Lett. 77, 107 (1996). PRLTAO 0031-9007 10.1103/PhysRevLett.77.107
18. G. Pruessner, Phys. Rev. E 67, 030301(R) (2003). PLEEE8 1063-651X 10.1103/PhysRevE.67.030301
19. M. Rossi, R. Pastor-Satorras, and A. Vespignani, Phys. Rev. Lett. 85, 1803 (2000). PRLTAO 0031-9007 10.1103/PhysRevLett.85.1803
20. S.S. Manna, J. Phys. A JPHAC5 0305-4470 24, L363 (1991). 10.1088/0305-4470/24/7/009
21. R. Dickman and M.A. Muñoz, Phys. Rev. E 62, 7632 (2000). PLEEE8 1063-651X 10.1103/PhysRevE.62.7632
22. J. Krug, Phys. Rev. Lett. 72, 2907 (1994); PRLTAO 0031-9007 10.1103/PhysRevLett.72.2907
23. J.M. López, Phys. Rev. Lett. 83, 4594 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.4594
24. M. Alava and M.A. Muñoz, Phys. Rev. E 65, 026145 (2002). PLEEE8 1063-651X 10.1103/PhysRevE.65.026145
25. J. Kockelkoren and H. Chaté, cond-mat/0306039.
26. I. Dornic, H. Chaté, and M.A. Muñoz, Phys. Rev. Lett. 94, 100601 (2005). PRLTAO 0031-9007 10.1103/PhysRevLett.94.100601
27. S. Lübeck, Int. J. Mod. Phys. B IJPBEV 0217-9792 18, 3977 (2004). 10.1142/S0217979204027748
28. P.K. Mohanty and D. Dhar, Phys. Rev. Lett. 89, 104303 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.104303
29. J.A. Bonachela, Phys. Rev. E PLEEE8 1063-651X 74, 050102(R) (2006). 10.1103/PhysRevE.74.050102
30. S. Morel, Phys. Rev. E 58, 6999 (1998); PLEEE8 1063-651X 10.1103/PhysRevE.58.6999
31. J.M. López and J. Schmittbuhl, Phys. Rev. E 57, 6405 (1998). PLEEE8 1063-651X 10.1103/PhysRevE.57.6405
32. R.J. Wijngaarden, Eur. Phys. J. B 50, 117 (2006). EPJBFY 1434-6028 10.1140/epjb/e2006-00063-7
33. H. Hinrichsen, Braz. J. Phys. 30, 69 (2000). BJPHE6 0103-9733 10.1590/S0103-97332000000100007
34. F. van Wijland, Phys. Rev. Lett. 89, 190602 (2002). PRLTAO 0031-9007 10.1103/PhysRevLett.89.190602