On the Shape of the Tail of a Two Dimensional Sand Pile
J. J. Alonso, H. J. Herrmann
Abstract
We study the shape of the tail of a heap of granular material. A simple theoretical argument shows that the tail adds a logarithmic correction to the slope given by the angle of repose. This expression is in good agreement with experiments. We present a cellular automaton that contains gravity, dissipation and surface roughness and its simulation also gives the predicted shape.
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