Self-organized criticality and universality in a nonconservative earthquake model

Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics

Volumn 63, Issue 3, 2001, Pages

  Lise, Stefano ^a   Paczuski, Maya ^a  

^a IMPERIAL COLLEGE LONDON   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

CONVERGENCE OF NUMERICAL METHODS; MATHEMATICAL MODELS; SEISMOLOGY;

MULTISCALING METHODS;

EARTHQUAKES;

EID: 0035278203     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.036111     Document Type: Article

References (41)

1. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987);
2. P. BakC. TangK. WiesenfeldPhys. Rev. A 38, 364 (1988).
3. For reviews, see P. Bak, How Nature Works: The Science of Self-Organized Criticality (Copernicus, New York, 1996);
4. H. J. Jensen, Self-Organized Criticality (Cambridge University Press, New York, 1998).
5. B. Gutenberg and C.F. Richter, Ann. Geofis. 9, 1 (1956).
6. P. Bak and C. Tang, J. Geophys. Res. B 94, 15 635 (1989).
7. A. Sornette and D. Sornette, Europhys. Lett. 9, 197 (1989).
8. K. Ito and M. Matsuzaki, J. Geophys. Res. B 95, 6853 (1990).
9. R. Burridge and L. Knopoff, Bull. Seismol. Soc. Am. 57, 341 (1967).
10. J.M. Carlson and J.S. Langer, Phys. Rev. Lett. 62, 2632 (1989);
11. J.M. Carlson, J.S. Langer, and B.E. Shaw, Rev. Mod. Phys. 66, 657 (1994).
12. M. de Sousa Vieira, Phys. Rev. A 46, 6288 (1992);
13. M. de Sousa Vieira, Phys. Rev. E 53, 1441 (1996);
14. Phys. Rev. EM. de Sousa Vieira, 61, 6056 (2000).
15. M. Paczuski and S. Boettcher, Phys. Rev. Lett. 77, 111 (1996).
16. H. Takayasu and M. Matsuzaki, Phys. Lett. A 131, 244 (1988).
17. H. Nakanishi, Phys. Rev. A 43, 6613 (1991).
18. Z. Olami, H.J.S. Feder, and K. Christensen, Phys. Rev. Lett. 68, 1244 (1992);
19. K. Christensen and Z. Olami, Phys. Rev. A 46, 1829 (1992);
20. K. ChristensenZ. OlamiJ. Geophys. Res. 97, 8729 (1992);
21. K. Christensen, Z. Olami, and P. Bak, Phys. Rev. Lett. 68, 2417 (1992).
22. S.L. Pepke and J.M. Carlson, Phys. Rev. E 50, 236 (1994).
23. D.L. Turcotte, Rep. Prog. Phys. 62, 1377 (1999).
24. W. Klein and J. Rundle, Phys. Rev. Lett. 71, 1288 (1993);
25. Phys. Rev. Lett.K. Christensen, 71, 1289 (1993).
26. S. Lise and H.J. Jensen, Phys. Rev. Lett. 76, 2326 (1996).
27. M.L. Chabanol and V. Hakim, Phys. Rev. E 56, 2343 (1997).
28. H.M. Broker and P. Grassberger, Phys. Rev. E 56, 3944 (1997).
29. I.M. Jánosi and J. Kerteśz, Physica A 200, 174 (1993).
30. J.E.S. Socolar, G. Grinstein, and C. Jayaprakash, Phys. Rev. E 47, 2366 (1993).
31. P. Grassberger, Phys. Rev. E 49, 2436 (1994).
32. A.A. Middleton and C. Tang, Phys. Rev. Lett. 74, 742 (1995).
33. Á. Corral, C.J. Pérez, A. Díaz-Guilera, and A. Arenas, Phys. Rev. Lett. 74, 118 (1995).
34. H. Ceva, Phys. Lett. A 245, 413 (1998).
35. T. Hwa and M. Kardar, Phys. Rev. Lett. 62, 1813 (1989);
36. Phys. Rev. Lett.G. Grinstein, D.-H. Lee, and S. Sachdev, 64, 1927 (1990).
37. M. Paczuski, Phys. Rev. E 52, 2137 (1995).
38. Throughout this work, “(Formula presented)” indicates the logarithm in base 10.
39. L.P. Kadanoff, S.R. Nagel, L. Wu, and S.M. Zhou, Phys. Rev. A 39, 6524 (1989).
40. M. De Menech, A.L. Stella, and C. Tebaldi, Phys. Rev. E 58, 2677 (1998);
41. C. Tebaldi, M. De Menech, and A.L. Stella, Phys. Rev. Lett. 83, 3952 (1999).