Continuously varying exponents in a sandpile model with dissipation near surface

Details Continuously varying exponents in a sandpile model with dissipation near surface Continuously varying exponents in a sandpile model with dissipation near surface

2000-06-30

arxiv.org/abs/cond-mat/0006490v2

Journal of Statistical Physics 102, 1 (2001)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 4 figures, accepted for publication in J. Stat. Phys

Scientific paper

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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