Continuously Varying Exponents in a Sandpile Model with Dissipation Near Surface
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چکیده
We consider the directed Abelian sandpile model in the presence of sink sites whose density ft at depth t below the top surface varies as c t . For χ > 1 the disorder is irrelevant. For χ < 1, it is relevant and the model is no longer critical for any nonzero c. For χ = 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.
منابع مشابه
0 Continuously varying exponents in a sandpile model with dissipation near surface
We consider the directed Abelian sandpile model in the presence of sink sites whose density ft at depth t below the top surface varies as c t . For χ > 1 the disorder is irrelevant. For χ < 1, it is relevant and the model is no longer critical for any nonzero c. For χ = 1 the exponents of the avalanche distributions depend continuously on the amplitude c of the disorder. We calculate this depen...
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تاریخ انتشار 2001