Explicit characterization of the identity configuration in an Abelian Sandpile Model

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dc.creatorCaracciolo, Sergio
dc.creatorPaoletti, Guglielmo
dc.creatorSportiello, Andrea
dc.date2008-09-19
dc.date2008-10-05
dc.date.accessioned2026-07-07T11:45:50Z
dc.date.available2026-07-07T11:45:50Z
dc.descriptionSince the work of Creutz, identifying the group identities for the Abelian Sandpile Model (ASM) on a given lattice is a puzzling issue: on rectangular portions of Z^2 complex quasi-self-similar structures arise. We study the ASM on the square lattice, in different geometries, and a variant with directed edges. Cylinders, through their extra symmetry, allow an easy determination of the identity, which is a homogeneous function. The directed variant on square geometry shows a remarkable exact structure, asymptotically self-similar.
dc.description11 pages, 8 figures
dc.identifierhttps://arxiv.org/abs/0809.3416
dc.identifierhttp://arxiv.org/abs/0809.3416
dc.identifierJ.Phys.A41:495003,2008
dc.identifierdoi:10.1088/1751-8113/41/49/495003
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/202018
dc.subjectStatistical Mechanics
dc.subjectHigh Energy Physics - Lattice
dc.subjectMathematical Physics
dc.subjectAdaptation and Self-Organizing Systems
dc.titleExplicit characterization of the identity configuration in an Abelian Sandpile Model
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