Analysis of a dissipative model of self-organized criticality with random neighbors

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

Volumn 56, Issue 3, 1997, Pages R2343-R2346

  Chabanol, Marie Line ^a   Hakim, Vincent ^a  

^a LABORATOIRE DE PHYSIQUE STATISTIQUE   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001171761     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.56.R2343     Document Type: Article

References (16)

1. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A 38, 364 (1988); PLRAANG. Grinstein in Scale Invariance, Interfaces and Criticality, Vol. 344 of NATO Advanced Study Institute, Series B: Physics, edited by A. McKane et al. (Plenum Press, New York, 1995).
2. T. Hwa and M. Kardar, Phys. Rev. Lett. 62, 1813 (1989); PRLTAO
3. G. Grinstein, D. H. Lee, and S. Sachdev, 64, 1927 (1990).
4. J. M. Carlson et al., Phys. Rev. Lett. 65, 2547 (1990).PRLTAO
5. B. Drossel and F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992); PRLTAO
6. B. Drossel, S. Clar, and F. Schwabl, 71, 3739 (1993).
7. P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993).PRLTAO
8. Z. Olami, H. J. S. Feder, and K. Christensen, Phys. Rev. Lett. 68, 1244 (1992); PRLTAO
9. K. Christensen and Z. Olami, Phys. Rev. A 46, 1829 (1992).PLRAAN
10. R. Burridge and L. Knopoff, Bull. Seismol. Soc. Am. 57, 341 (1967); BSSAAP
11. J. M. Carlson and J. S. Langer, Phys. Rev. Lett. 62, 2632 (1989).PRLTAO
12. J. E. S. Socolar, G. Grinstein, and C. Jayaprakash, Phys. Rev. E 47, 2366 (1993); PLEEE8
13. P. Grassberger, 49, 2436 (1994);
14. A. A. Middleton and C. Tang, Phys. Rev. Lett. 74, 742 (1995).PRLTAO
15. S. Lise and H. J. Jensen, Phys. Rev. Lett. 76, 2326 (1996).PRLTAO
16. A plot of the obtained (Formula presented) vs (Formula presented) is well fitted by a straight line of slope (Formula presented) close to the expected (Formula presented). A more precise test would require solutions of Eqs. (5) and (7) for values of (Formula presented) closer to (Formula presented) than ours.