Continuously Varying Exponents in a Sandpile Model with Dissipation Near Surface |
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| Authors: | S Lübeck D Dhar |
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| Institution: | (1) Theoretische Tieftemperaturphysik, Gerhard–Mercator-Universität Duisburg, Lotharstr. 1, 47048 Duisberg, Germany;(2) Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, 400005, India |
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| Abstract: | 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 ct– . For >1 the disorder is irrelevant. For <1, it is relevant and the model is no longer critical for any nonzero c. For =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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| Keywords: | self-organized criticality directed Abelian sandpile model surface critical phenomena non-universal scaling behavior |
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