Sandpile model on the sierpinski gasket fractal

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

Volumn 54, Issue 1, 1996, Pages 272-277

  Kutnjak Urbanc, Brigita ^a,b   Zapperi, Stefano ^a,b   Milošević, Sava ^a,b   Stanley, H Eugene ^a,b  

^a Boston University ^*  (United States)

^b UNIVERSITY OF BELGRADE   (Denmark)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0002628577     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.54.272     Document Type: Article

References (42)

1. P. Bak, C. Tang and K. Wiesenfeld, Phys. Rev. Lett.59, 381 (1987);
2. P. Bak, C. Tang and K. Wiesenfeld, Phys. Rev. A38, 364 (1988).
3. Y. C. Zhang, Phys. Rev. Lett.63, 470 (1989).
4. L. P. Kadanoff, S. R. Nagel, L. Wu and S. Zhu, Phys. Rev. A39, 6524 (1989).
5. S. S. Manna, J. Stat. Phys.59, 509 (1990);
6. S. S. Manna, Physica A179, 249 (1991).
7. V. B. Priezzhev, J. Stat. Phys.74, 955 (1994).
8. K. Christensen, H. C. Fogedby and H. J. Jensen, J. Stat. Phys.61, 653 (1991).
9. P. Grassberger and S. S. Manna, J. Phys. (Paris)51, 1077 (1990).
10. D. Dhar and R. Ramaswamy, Phys. Rev. Lett.63, 1659 (1989);
11. D. Dhar, Phys. Rev. Lett.64, 1613 (1991);
12. S. N. Majumdar and D. Dhar, Physica A185, 129 (1992).
13. L. Pietronero, A. Vespignani and S. Zapperi, Phys. Rev. Lett.72, 1690 (1994);
14. L. Pietronero, A. Vespignani and S. Zapperi, Phys. Rev. E51, 1711 (1995).
15. A. Diaz-Guilera, Phys. Rev. A45, 8551 (1992).
16. T. Hwa and M. Kardar, Phys. Rev. Lett.62, 1813 (1989).
17. D. Dhar and S. N. Majumdar, J. Phys. A23, 4333 (1990).
18. C. Tang and P. Bak, J. Stat. Phys.51, 797 (1988).
19. Y. Gefen, A. Aharony, Y. Shapir and B. B. Mandelbrot, J. Phys. A17, 435 (1984);
20. S. H. Liu, Phys. Rev. B32, 5804 (1985);
21. J. H. Luscombe and R. C. Desai, Phys. Rev. B32, 1614 (1985);
22. S. Bhattacharya, Physics Lett.112A, 51 (1985);
23. T. Stosić, B. Stosić, S. Milosević and H. E. Stanley, Phys. Rev. E49, 1009 (1994).
24. D. Cassi, Phys. Rev. Lett.68, 3631 (1992);
25. D. Cassi, Physica A191, 549 (1992)
26. D. Cassi and S. Regina, Phys. Rev. Lett.70, 1647 (1993);
27. Y. Shi and C. D. Gong, Phys. Rev. E49, 99 (1994).
28. B. Doucot, Phys. Rev. Lett.57, 1235 (1986).
29. D. Sornette and C. G. Sammis, J. Phys. (France) I5, 607 (1995);
30. W. I. Newman, D. L. Turcotte and A. M. Gabrielov, Phys. Rev. E52, 4827 (1995).
31. J. Kertész and L. B. Kiss, J. Phys. A23, L433 (1990).
32. H. J. Jensen, K. Christensen, and H. C. Fogedby, Phys. Rev. B40, R7425 (1989).
33. M. Kaufman, T. Berger, P. D. Gujrati and D. Bowman, Phys. Rev. A41, 4371 (1990).
34. D. Bessis, J. S. Geronimo and P. Moussa, J. Phys. (Paris) Lett.44, 977 (1983);
35. L. Pietronero, in Order and Chaos in Nonlinear Physical Systems, edited by S. Lundqvist, N. H. March, and M. Tosi (Plenum Publishing Corporation, New York, 1988).
36. D. Dhar, J. Math. Phys.18, 577 (1977);
37. D. Dhar, J. Math. Phys.19, 5 (1978).
38. M. Kaufman and R. B. Griffiths, Phys. Rev. B30, 244 (1984).
39. Some progress in linking the two approaches has been recently presented in E. V. Ivashkevich, Phys. Rev. Lett.75, 465 (1995).
40. J.-C. Anifrani, C. LeFloch, D. Sornette and B. Souillard, J. Phys. I (France)5, 631 (1995);
41. H. Saleur and D. Sornette, J. Phys. I (France)6, 327 (1996);
42. D. Sornette, A. Johansen and J.-P. Bouchaud, J. Phys. I (France)6, 167 (1996).