Evidence for universality within the classes of deterministic and stochastic sandpile models

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

Volumn 63, Issue 6, 2001, Pages

  Biham, Ofer ^a   Milshtein, Erel ^a   Malcai, Ofer ^a  

^a HEBREW UNIVERSITY OF JERUSALEM   (Israel)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; EQUIVALENCE CLASSES; MATHEMATICAL MODELS; NUMERICAL METHODS; RANDOM PROCESSES; TWO DIMENSIONAL;

BAK-TANG-WIESENFELD MODELS; DETERMINISTIC SANDPILE MODELS; MANNA MODELS; SELF ORGANIZED CRITICALITY; STOCHASTIC SANDPILE MODELS;

RELAXATION PROCESSES;

EID: 0035364485     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.061309     Document Type: Article

References (50)

1. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. Lett. 59, 381 (1987).
2. P. Bak, C. Tang, and K. Wiesenfeld, Phys. Rev. A 38, 364 (1988).
3. C. Tang and P. Bak, Phys. Rev. Lett. 60, 2347 (1988).
4. D. Dhar and R. Ramaswamy, Phys. Rev. Lett. 63, 1659 (1989).
5. T. Hwa and M. Kardar, Phys. Rev. Lett. 62, 1813 (1989).
6. D. Dhar, Phys. Rev. Lett. 64, 1613 (1990).
7. J.M. Carlson, J.T. Chayes, E.R. Grannan, and G.H. Swindle, Phys. Rev. Lett. 65, 2547 (1990).
8. G. Grinstein and D.-H. Lee, Phys. Rev. Lett. 66, 177 (1991).
9. M. Paczuski and S. Boettcher, Phys. Rev. Lett. 77, 111 (1996).
10. L.P. Kadanoff, S.R. Nagel, L. Wu, and S.-M. Zhou, Phys. Rev. A 39, 6524 (1989).
11. P. Grassberger and S.S. Manna, J. Phys. (France) 51, 1077 (1990).
12. S.S. Manna, J. Stat. Phys. 59, 509 (1990).
13. K. Christensen, H.C. Fogedby, and H.J. Jensen, J. Stat. Phys. 63, 653 (1991).
14. K. Christensen and Z. Olami, Phys. Rev. E 48, 3361 (1993).
15. S. Lübeck and K.D. Usadel, Phys. Rev. E 55, 4095 (1997).
16. S. Lübeck, Phys. Rev. E 56, 1590 (1997).
17. S.S. Manna, J. Phys. A 24, L363 (1991).
18. Y.C. Zhang, Phys. Rev. Lett. 63, 470 (1989).
19. L. Pietronero, A. Vespignani, and S. Zapperi, Phys. Rev. Lett. 72, 1690 (1994).
20. A. Vespignani, S. Zapperi, and L. Pietronero, Phys. Rev. E 51, 1711 (1995).
21. A. Diaz-Guilera, Phys. Rev. A 45, 8551 (1992).
22. A. Diaz-Guilera, Europhys. Lett. 26, 177 (1994).
23. A. Corral and A. Diaz-Guilera, Phys. Rev. E 55, 2434 (1997).
24. A. Chessa, H.E. Stanley, A. Vespignani, and S. Zapperi, Phys. Rev. E 59, R12 (1999).
25. A. Ben-Hur and O. Biham, Phys. Rev. E 53, R1317 (1996).
26. E. Milshtein, O. Biham, and S. Solomon, Phys. Rev. E 58, 303 (1998).
27. C. Tebaldi, M. De Menech, and A. Stella, Phys. Rev. Lett. 83, 3952 (1999).
28. S. Lübeck, Phys. Rev. E 61, 204 (2000).
29. R. Dickman, A. Vespignani, and S. Zapperi, Phys. Rev. E 57, 5095 (1998).
30. R. Dickman, M.A. Munoz, A. Vespignani, and S. Zapperi, Braz. J. Phys. 30, 27 (1999).
31. A. Vespignani, R. Dickman, M.A. Munoz, and S. Zapperi, e-print cond-mat/0003285.
32. D. Dhar, Physica A 263, 4 (1999).
33. D. Dhar, Physica A 270, 69 (1999).
34. O. Biham, E. Milshtein, and S. Solomon, e-print cond-mat/9805206.
35. P. Blanchard, B. Cessac, and T. Kruger, J. Stat. Phys. 98, 375 (2000).
36. H. Goldstein, Classical Mechanics (Addison-Wesley, Reading, MA, 1980).
37. E.V. Ivashkevich, J. Phys. A 27, 3643 (1994).
38. V.B. Priezzhev, D.V. Ktitarev, and E.V. Ivashkevich, Phys. Rev. Lett. 76, 2093 (1996).
39. M. Paczuski and S. Boettcher, Phys. Rev. E 56, R3745 (1997).
40. D.V. Ktitarev, S. Lübeck, P. Grassberger, and V.B. Priezzhev, Phys. Rev. E 61, 81 (2000).
41. E.V. Ivashkevich, Phys. Rev. Lett. 76, 3368 (1996).
42. E.V. Ivashkevich, A.M. Povolotsky, A. Vespignani, and S. Zapperi, Phys. Rev. E 60, 1239 (1999).
43. R. Pastor-Satorras and A. Vespignani, J. Phys. A 33, L33 (2000).
44. S. Lübeck, Phys. Rev. E 62, 6149 (2000).
45. Z. Olami, H.J.S. Feder, and K. Christensen, Phys. Rev. Lett. 68, 1244 (1992).
46. A.A. Middleton and C. Tang, Phys. Rev. Lett. 74, 742 (1995).
47. B. Tadić and D. Dhar, Phys. Rev. Lett. 79, 1519 (1997).
48. R. Pastor-Satorras and A. Vespignani, Phys. Rev. E 62, 6195 (2000).
49. V.B. Priezzhev, D. Dhar, A. Dhar, and S. Krishnamurthy, Phys. Rev. Lett. 77, 5079 (1996).
50. A.M. Povolotsky, V.B. Priezzhev, and R.R. Shcherbakov, Phys. Rev. E 58, 5449 (1998).