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Scaling Properties Of Strong Avalanches In Sand-Pile

Author

Listed:
  • A. B. SHAPOVAL

    (International Institute of Earthquake Prediction Theory, Warshavkoye shosse, 79, kor. 2, Moscow, Russia;
    Finance Academy under the Government of the Russian Federation, Leningradsky pr., 49, Moscow, Russia)

  • M. G. SHNIRMAN

    (International Institute of Earthquake Prediction Theory, Warshavkoye shosse, 79, kor. 2, Moscow, Russia)

Abstract

We introduced strong avalanches in the two-dimensional sand-pile and investigated the distributionsF(·, L)of their size corresponding to the different system lengthsL. Being appropriately scaled, these distributions coincide. The inverse mapF-1as the function onLsets up the correspondence between the avalanches associated with differentL. As to the strong avalanches, with any fixed first argument δ, the mapF-1(δ, L)is proportional to a power function, where the exponent varies from 2 to 3 depending on δ, whileF-1(δ, L)is proportional toL2for the other avalanches.

Suggested Citation

  • A. B. Shapoval & M. G. Shnirman, 2005. "Scaling Properties Of Strong Avalanches In Sand-Pile," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(02), pages 341-348.
    • Handle: RePEc:wsi:ijmpcx:v:16:y:2005:i:02:n:s0129183105007145
    DOI: 10.1142/S0129183105007145
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