Journal of Statistical Physics

, Volume 59, Issue 1–2, pp 509–521 | Cite as

Large-scale simulation of avalanche cluster distribution in sand pile model

  • S. S. Manna
Short Communications


The avalanche cluster distribution of the sand pile model of self-organized criticality is studied on the square lattice. A vectorized multispin coding algorithm is developed for this study with three bits per site. The exponents characterizing the size and the lifetime of the avalanches are slightly different from the previous estimates.

Key words

Self-organized criticality BTW model avalanche cluster distribution multispin coding method 


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  1. 1.
    B. Mandelbrot,The Fractal Geometry of Nature (Freeman, San Francisco, 1982).Google Scholar
  2. 2.
    P. Dutta and P. M. Horn,Rev. Mod. Phys. 53:497 (1981).Google Scholar
  3. 3.
    P. Bak, C. Tang, and K. Wiesenfeld,Phys. Rev. Lett. 59:381 (1987);Phys. Rev. A 38:364 (1988); C. Tang and P. Bak,Phys. Rev. Lett. 60:2347 (1988); P. Bank and K. Chen,Physica D 38:5 (1989).Google Scholar
  4. 4.
    Y.-C. Zhang,Phys. Rev. Lett. 63:470 (1989).Google Scholar
  5. 5.
    T. Hwa and M. Kardar,Phys. Rev. Lett. 62:1813 (1989).Google Scholar
  6. 6.
    L. P. Kadnoff, S. R. Nagel, L. Wu, and S.-M. Zhou,Phys. Rev. A 39:6524 (1989).Google Scholar
  7. 7.
    D. Dhar and R. Ramaswamy,Phys. Rev. Lett. 63:1659 (1989).Google Scholar
  8. 8.
    D. Stauffer,Introduction to Percolation Theory (Taylor and Francis, London, 1985).Google Scholar
  9. 9.
    J. Kertesz, Private communication.Google Scholar
  10. 10.
    J. A. M. S. Duarte, Private communication.Google Scholar
  11. 11.
    J. Burke, Private communication.Google Scholar
  12. 12.
    D. Dhar, Private communication.Google Scholar
  13. 13.
    D. Dhar, Preprint.Google Scholar

Copyright information

© Plenum Publishing Corporation 1990

Authors and Affiliations

  • S. S. Manna
    • 1
  1. 1.HLRZc/o KFA JulichJulich 1Federal Republic of Germany

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