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Introduction to the sandpile model

Author

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  • Ivashkevich, E.V.
  • Priezzhev, V.B.

Abstract

This article is based on a talk given by one of us (EVI) at the conference “StatPhys-Taipei-1997”. It overviews the exact results in the theory of the sandpile model and discusses briefly the yet unsolved problem of calculation of avalanche distribution exponents. The key ingredients include the analogy with the critical reaction–diffusion system, the spanning tree representation of height configurations and the decomposition of the avalanche process into waves of topplings.

Suggested Citation

  • Ivashkevich, E.V. & Priezzhev, V.B., 1998. "Introduction to the sandpile model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 254(1), pages 97-116.
    • Handle: RePEc:eee:phsmap:v:254:y:1998:i:1:p:97-116
    DOI: 10.1016/S0378-4371(98)00012-0
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    Cited by:

    1. Shapoval, A.B. & Shnirman, M.G., 2012. "The BTW mechanism on a self-similar image of a square: A path to unexpected exponents," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 391(1), pages 15-20.
    2. Dhar, Deepak, 1999. "The Abelian sandpile and related models," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 263(1), pages 4-25.

    More about this item

    Keywords

    Self-organized criticality; Sandpile model;

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