Self-organized random walks and stochastic sandpile: From linear to branched avalanches

Physica A: Statistical Mechanics and its Applications

Volumn 316, Issue 1-4, 2002, Pages 135-143

  Manna, S S ^a,b   Stella, Attilio L ^a  

^a UNIVERSITY OF PADOVA   (Italy)

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

Author keywords

Avalanches; Sandpile models; Self organized criticality

Indexed keywords

CORRELATION METHODS; DIFFUSION; ENERGY TRANSFER; MATHEMATICAL MODELS;

STOCHASTIC SANDPILE;

RANDOM PROCESSES;

EID: 0037114583     PISSN: 03784371     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0378-4371(02)01497-8     Document Type: Article

References (19)

1. Bak P. How Nature Works: The Science of Self-Organized Criticality. 1996;Copernicus, New York.
2. Bak P., Tang C., Wiesenfeld K. Phys. Rev. Lett. 59:1987;381.
3. Bak P., Tang C., Wiesenfeld K. Phys. Rev. A. 38:1988;364.
4. Jensen H.J. Self-Organized Criticality. 1998;Cambridge University Press, Cambridge.
5. Dhar D. Physica A. 263:1999;4.
6. Grassberger P., Manna S.S. J. Phys. (France). 51:1990;1077.
7. Manna S.S. J. Phys. A. 24:1992;L363.
8. Milshtein E., Biham O., Solomon S. Phys. Rev. E. 58:1998;303.
9. De Menech M., Stella A.L., Tebaldi C. Phys. Rev. E. 58:1998;R2677.
10. Tebaldi C., De Menech M., Stella A.L. Phys. Rev. Lett. 83:1999;3952.
11. Lübeck S. Phys. Rev. E. 61:2000;204.
12. Chessa A., Vespignani A., Zapperi S. Comput. Phys. Commun. 121-122:1999;299.
13. Vespignani A., Dickman R., Munoz M.A., Zapperi S. Phys. Rev. E. 62:2000;4564.
14. Priezzhev V.B., Dhar D., Dhar A., Krishnamurthy S. Phys. Rev. Lett. 77:1996;5079.
15. R.R. Shcherbakov, Vl. V. Papoyan, A.M. Povolotsky, arXiv:cond-mat/9609006.
16. D. Dhar, Studying self-organized criticality with exactly solved models, arXiv:cond-mat/9909009.
17. Pólya G. Math. Ann. 83:1921;149.
18. Barber M.N., Ninham B.W. Random and Restricted Walks. 1970;Gordon and Breach, New York.
19. A. Nagar, P. Pradhan, Monte Carlo study of distribution of survival time in random walks, Poster presented in Statphys - Kolkata IV, Kolkata, 2002.