Continuously varying exponents in a sandpile model with dissipation near surface

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dc.creatorLubeck, S.
dc.creatorDhar, D.
dc.date2000-06-30
dc.date2000-08-25
dc.date.accessioned2026-07-07T02:38:04Z
dc.date.available2026-07-07T02:38:04Z
dc.descriptionWe 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.
dc.description13 pages, 4 figures, accepted for publication in J. Stat. Phys
dc.identifierhttps://arxiv.org/abs/cond-mat/0006490
dc.identifierhttp://arxiv.org/abs/cond-mat/0006490
dc.identifierJournal of Statistical Physics 102, 1 (2001)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/16534
dc.subjectStatistical Mechanics
dc.titleContinuously varying exponents in a sandpile model with dissipation near surface
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