Self-organized criticality in a fibre-bundle-type model

Physica A: Statistical Mechanics and its Applications

Volumn 274, Issue 3, 1999, Pages 400-409

  Moreno, Y ^a   Gomez J B ^a   Pacheco, A F ^a  

^a UNIVERSITY OF ZARAGOZA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; PROBABILITY DISTRIBUTIONS;

FIBER BUNDLE TYPE MODEL; LOAD TRANSFER RULES; SELF ORGANIZED CRITICALITY;

STATISTICAL MECHANICS;

EID: 0342647308     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(99)00358-1     Document Type: Article

References (21)

1. Bak P., Tang C., Wiesenfeld K. Phys. Rev. Lett. 59:1987;381.
2. H.J. Jensen, Self-Organized Criticality, Cambridge University Press, Cambridge, 1998, and references therein.
3. Zapperi S., Vespignani A., Stanley H.E. Nature. 388:1997;658.
4. Gutenberg G., Richter C.F. Ann. Geophys. 9:1956;1.
5. For a review, see M. Sahimi, Rev. Mod. Phys. 65 (1993) 1393.
6. Field S., Witt J., Nori F. Phys. Rev. Lett. 74:1995;1206.
7. Clar S., Drossel B., Schwabl F. J. Phys.: Condens. Matter. 8:1996;6803.
8. Malamud B.D., Morein Y., Turcotte D.L. Science. 281:1998;1840.
9. Wilkinson D., Willemsen J.F. J. Phys. A. 16:1983;3365.
10. Bak P., Sneppen K. Phys. Rev. Lett. 71:1993;4083.
11. Olami Z., Feder H.J., Christensen K. Phys. Rev. Lett. 68:1992;1244.
12. Smith R.L., Phoenix S.L. J. Appl. Mech. 48:1981;75.
13. Sornette D. J. Phys. A: Math. Gen. 22:1989;L243.
14. See also, for example, H.J. Herrman, S. Roux (Eds.), Statistical Models for the Fracture of Disordered Media, North-Holland, Amsterdam, 1990, and references therein.
15. Newman W.I., Gabrielov A.M., Durand T.A., Phoenix S.L., Turcotte D.L. Physica D. 77:1994;200.
16. D.L. Turcotte, Fractals and Chaos in Geology and Geophysics, 2nd Edition, Cambridge University Press, Cambridge, New York, 1997.
17. Hemmer P.C., Hansen A. J. Appl. Mech. 59:1992;909.
18. Kloster M., Hansen A., Hemmer P.C. Phys. Rev. E. 56:1997;2615.
19. Lomnitz-Adler J., Knopoff L., Martinez-Mekler G. Phys. Rev. A. 45:1992;2211.
20. Vespignani A., Zapperi S. Phys. Rev. E. 57:1998;6345.
21. Lauritsen K.B., Zapperi S., Stanley H.E. Phys. Rev. E. 54:1996;2483.