Avalanche Merging and Continuous Flow in a Sandpile Model

Details Avalanche Merging and Continuous Flow in a Sandpile Model Avalanche Merging and Continuous Flow in a Sandpile Model

1999-03-10

arxiv.org/abs/cond-mat/9903157v2

Phys. Rev. Lett. 83, 572 (1999)

Physics

Condensed Matter

Statistical Mechanics

Explanations added; relation to other models

Scientific paper

10.1103/PhysRevLett.83.572

A dynamical transition separating intermittent and continuous flow is observed in a sandpile model, with scaling functions relating the transport behaviors between both regimes. The width of the active zone diverges with system size in the avalanche regime but becomes very narrow for continuous flow. The change of the mean slope, Delta z, on increasing the driving rate, r, obeys Delta z ~ r^{1/theta}. It has nontrivial scaling behavior in the continuous flow phase with an exponent theta given, paradoxically, only in terms of exponents characterizing the avalanches theta = (1+z-D)/(3-D).

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