Continuously varying exponents in a sandpile model with dissipation near surface

S. Lubeck; D. Dhar

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arXiv · cond-mat/0006490

Continuously varying exponents in a sandpile model with dissipation near surface

S. Lubeck·D. Dhar

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Abstract

We consider the directed Abelian sandpile model in the presence of sink sites whose density f_t at depth t below the top surface varies as c~1/t^chi. For chi>1 the disorder is irrelevant. For chi<1, it is relevant and the model is no longer critical for any nonzero c. For chi=1 the exponents of the avalanche distributions depend continuously on the amplitude c of the disorder. We calculate this dependence exactly, and verify the results with simulations.

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S. Lubeck, D. Dhar. 2000-08-25. Continuously varying exponents in a sandpile model with dissipation near surface. https://arxiv.org/abs/cond-mat/0006490

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