Dissipative Abelian sandpiles and random walks

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

Volumn 63, Issue 3, 2001, Pages

  Vanderzande, C ^a   Daerden, F ^a  

^a HASSELT UNIVERSITY   (Belgium)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL METHODS; CORRELATION METHODS; EIGENVALUES AND EIGENFUNCTIONS; MATHEMATICAL MODELS; MOLECULAR STRUCTURE; RANDOM PROCESSES;

ABELIAN SANDPILE; EUCLIDEAN LATTICES; SIERPINSKI GASKETS;

MOLECULAR DYNAMICS;

EID: 0035276038     PISSN: 1063651X     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevE.63.030301     Document Type: Article

References (31)

1. P. Bak, Phys. Rev. Lett. 59, 381 (1987).
2. P. Bak, Phys. Rev. A 38, 364 (1988).
3. H. Jensen, Self-organized Criticality (Cambridge University Press, Cambridge, England, 1998).
4. P. Bak, How Nature Works (Springer-Verlag, Berlin, 1996).
5. Z. Olami, Phys. Rev. Lett. 68, 1224 (1992).
6. B. Drossel and F. Schwabl, Phys. Rev. Lett. 69, 1629 (1992).
7. P. Bak and K. Sneppen, Phys. Rev. Lett. 71, 4083 (1993).
8. S. Zapperi, Phys. Rev. B 58, 6353 (1998).
9. V. Frette, Nature (London) 397, 49 (1996).
10. J. Socolar, Phys. Rev. E 47, 2366 (1993);
11. Phys. Rev. EP. Grassberger, 49, 2436 (1994);
12. A. Middleton and C. Tang, Phys. Rev. Lett. 74, 742 (1995).
13. H.-M. Broker and P. Grassberger, Phys. Rev. E 56, 3944 (1997);
14. Phys. Rev. EM. Chabanol and V. Hakim, 56, R2343 (1997).
15. J. de Carvalho and C. Prado, Phys. Rev. Lett. 84, 4006 (2000).
16. D. Dhar, Phys. Rev. Lett. 64, 1613 (1990).
17. S.N. Majumdar and D. Dhar, Physica A 185, 129 (1992).
18. V.B. Priezzhev, J. Stat. Phys. 74, 955 (1994).
19. D. Dhar and S.S. Manna, Phys. Rev. E 49, 2684 (1994).
20. E.V. Ivashkevich, Physica A 209, 347 (1994).
21. V.B. Priezzhev, J. Stat. Phys. 98, 667 (2000).
22. P. Ghaffari, Phys. Rev. E 56, 6702 (1997).
23. T. Tsuchiya and M. Katori, Phys. Rev. E 61, 1183 (2000).
24. M. Katori (unpublished).
25. M. De Menech, Phys. Rev. E 58, 2677 (1998);
26. C. Tebaldi, Phys. Rev. Lett. 83, 3952 (1999);
27. M. de Menech and A.L. Stella, Phys. Rev. E 62, R4528 (2000).
28. N. Van Kampen, Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1984).
29. G. Weiss and S. Havlin, J. Stat. Phys. 37, 17 (1984).
30. A. Vespignani and S. Zapperi, Phys. Rev. Lett. 78, 4739 (1997).
31. A. Vespignani, Phys. Rev. Lett. 81, 5676 (1998).