SCALING PROPERTIES OF STRONG AVALANCHES IN SAND-PILE

Alexander Shapoval and M. G. Shnirman ()
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M. G. Shnirman: International Institute of Earthquake Prediction Theory, Warshavkoye shosse, 79, kor. 2, Moscow, Russia

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 02, 341-348

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.

Keywords: Sand-pile; distribution; finite-size scaling (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105007145

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