Continuously varying exponents in a sandpile model with dissipation near surface

2000/06/30 by S. Lubeck, D. Dhar
Physics and Astronomy · #cond-mat.stat-mech

paper · pdf

published as Journal of Statistical Physics 102, 1 (2001) · 13 pages, 4 figures, accepted for publication in J. Stat. Phys

arxiv created 2000/08/25 · arxiv updated 2009/11/30

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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