Exact Solutions of a Model for Granular Avalanches

Details Exact Solutions of a Model for Granular Avalanches Exact Solutions of a Model for Granular Avalanches

1999-08-11

arxiv.org/abs/cond-mat/9908167v1

Physics

Condensed Matter

Statistical Mechanics

7 pages, 2 figures

Scientific paper

10.1209/epl/i2000-00311-6

We present exact solutions of the non-linear {\sc bcre} model for granular avalanches without diffusion. We assume a generic sandpile profile consisting of two regions of constant but different slope. Our solution is constructed in terms of characteristic curves from which several novel predictions for experiments on avalanches are deduced: Analytical results are given for the shock condition, shock coordinates, universal quantities at the shock, slope relaxation at large times, velocities of the active region and of the sandpile profile.

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