Measurements of criticality in the Olami-Feder-Christensen model

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

Volumn 66, Issue 1, 2002, Pages

  Miller, G ^a   Boulter, C J ^a  

^a HERIOT WATT UNIVERSITY   (United Kingdom)

Author keywords

[No Author keywords available]

Indexed keywords

ACCELERATION; APPROXIMATION THEORY; COMPUTER SIMULATION; GRANULAR MATERIALS; KINETIC THEORY; MATHEMATICAL MODELS; MAXWELL EQUATIONS; MIXTURES; POLYNOMIALS; RANDOM PROCESSES; RELAXATION PROCESSES;

INELASTIC HARD SPHERE MODEL (IHS); INELASTIC MIXTURES; MAXWELL MODEL; MEAN-FIELD MODEL; POLYNOMIAL EXPANSION;

ELASTICITY;

EID: 41349122838     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.66.016123     Document Type: Article

References (19)

1. An excellent review of the field is provided by H.J. Jensen, Self-Organized Criticality (Cambridge University Press, Cambridge, England, 1998).
2. An accessible introduction to the subject is given by P. Bak, How Nature Works (Oxford University Press, Oxford, 1997).
3. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987);
4. P. BakC. TangK. WiesenfeldPhys. Rev. A 38, 364 (1988).
5. T. Hwa and M. Kardar, Phys. Rev. Lett. 62, 1813 (1989);
6. S.S. Manna, L.B. Kiss, and J. Kertész, J. Stat. Phys. 61, 923 (1990).
7. Z. Olami, H.J.S. Feder, and K. Christensen, Phys. Rev. Lett. 68, 1244 (1992);
8. K. Christensen and Z. Olami, Phys. Rev. A 46, 1829 (1992).
9. R. Burridge and L. Knopoff, Bull. Seismol. Soc. Am. 57, 341 (1967).
10. H.-M. Bröker and P. Grassberger, Phys. Rev. E 56, 3944 (1997).
11. M.-L. Chabanol and V. Hakim, Phys. Rev. E 56, R2343 (1997).
12. S.T.R. Pinho and C.P.C. Prado, Eur. Phys. J. B 18, 479 (2000).
13. P. Grassberger, Phys. Rev. E 49, 2436 (1994).
14. J.X. de Carvalho and P.C. Prado, Phys. Rev. Lett. 84, 4006 (2000);
15. Phys. Rev. Lett.J.X. de CarvalhoP.C. Prado87, 039802 (2001).
16. S. Lise and H.J. Jensen, Phys. Rev. Lett. 76, 2326 (1996).
17. S.T.R. Pinho, C.P.C. Prado, and O. Kinouchi, Physica A 257, 488 (1998).
18. K. Christensen, D. Hamon, H.J. Jensen, and S. Lise, Phys. Rev. Lett. 87, 039801 (2001).
19. O. Kinouchi and C.P.C. Prado, Phys. Rev. E 59, 4964 (1999).