Critical states in a dissipative sandpile model

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

Volumn 60, Issue 5, 1999, Pages R5005-R5008

  Manna, S S ^a,b   Chakrabarti, A D ^b   Cafiero, R ^a  

^a PSL RESEARCH UNIVERSITY   (France)

^b S N BOSE NATIONAL CENTRE FOR BASIC SCIENCES   (India)

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ARTICLE;

EID: 0000841126     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.60.R5005     Document Type: Article

References (26)

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. P. Bak, How Nature Works: The Science of Self-Organized Criticality (Copernicus, New York, 1996).
4. D. Dhar, Physica A 263, 4 (1999).
5. D. Dhar, Phys. Rev. Lett. 64, 1613 (1990).
6. L.P. Kadanoff, S.R. Nagel, L. Wu, and S. Zhou, Phys. Rev. A 39, 6524 (1989).
7. S.S. Manna, Physica A 179, 249 (1991)
8. P. Grassberger and S.S. Manna, J. Phys. (Paris) 51, 1077 (1990).
9. T. Hwa and M. Kardar, Phys. Rev. Lett. 62, 1813 (1989)
10. Phys. Rev. Lett.G. Grinstein, D.H. Lee, and S. Sachdev, 64, 1927 (1990).
11. P. Bak and C. Tang, J. Geophys. Res. 94, 15 635 (1989).
12. B. Gutenberg and C.F. Richter, Ann. Geophys. (C.N.R.S.) 9, 1 (1956).
13. S.S. Manna, L.B. Kiss, and J. Kertesz, J. Stat. Phys. 61, 923 (1990).
14. Similar to H.J.S. Feder and J. Feder, Phys. Rev. Lett. 66, 2669 (1991);the dissipative ASM is defined on a square lattice as: If (Formula presented) and (Formula presented) M.S. Bourzutschky, Caltech. Ph.D. thesis, California Institute of Technology, 1993 (unpublished);C.H. Bennet (unpublished);D. Dhar, J. Krug, S.S. Manna, and E.J. Speer (unpublished).
15. A.A. Ali, Phys. Rev. E 52, R4595 (1995).
16. Z. Olami, H.J.S. Feder, and K. Christensen, Phys. Rev. Lett. 68, 1244 (1992).
17. J.E.S. Socolar, G. Grinstein, and C. Jayprakash, Phys. Rev. E 47, 2366 (1993).
18. P. Grassberger, Phys. Rev. E 49, 2436 (1994)
19. A. Vespignani and S. Zapperi, Phys. Rev. Lett. 78, 4793 (1997)
20. A. VespignaniS. ZapperiPhys. Rev. E 57, 6345 (1998).
21. A.A. Middleton and C. Tang, Phys. Rev. Lett. 74, 742 (1995).
22. M-L. Chabanol and V. Hakim, Phys. Rev. E 56, R2343 (1997)
23. S. Lise and H.J. Jensen, Phys. Rev. Lett. 76, 2326 (1996).
24. D. Dhar and R. Ramaswamy, Phys. Rev. Lett. 63, 1659 (1989).
25. S.S. Manna, J. Phys. A 24, L363 (1991).
26. J.X. Carvalho and C.P.C. Prado, e-print cond-mat/9908264.