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Article: N-dimensional Abelian sandpile model with nearest-neighbor toppling

TitleN-dimensional Abelian sandpile model with nearest-neighbor toppling
Authors
Issue Date1993
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E, 1993, v. 47 n. 4, p. 2394-2400 How to Cite?
AbstractWe have derived an exact expression for the determinant of the toppling matrix of the Abelian sandpile model in any finite dimension with open boundary conditions. The result can also apply to the semiopen boundary cases in certain limiting cases. An analytic result can also be obtained in the thermodynamic limit where the grid size tends to infinite: namely, the total number of system configurations in the self-organized critical state follows a power law as the grid size increases. Therefore, under a uniform but random particle addition, 1/f2 instead of 1/f scaling is observed. The relation with the site percolation problem is also discussed. © 1993 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/175082
ISSN
2004 Impact Factor: 2.352
2003 SCImago Journal Rankings: 1.360
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChau, HFen_US
dc.contributor.authorCheng, KSen_US
dc.date.accessioned2012-11-26T08:49:09Z-
dc.date.available2012-11-26T08:49:09Z-
dc.date.issued1993en_US
dc.identifier.citationPhysical Review E, 1993, v. 47 n. 4, p. 2394-2400en_US
dc.identifier.issn1063-651Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/175082-
dc.description.abstractWe have derived an exact expression for the determinant of the toppling matrix of the Abelian sandpile model in any finite dimension with open boundary conditions. The result can also apply to the semiopen boundary cases in certain limiting cases. An analytic result can also be obtained in the thermodynamic limit where the grid size tends to infinite: namely, the total number of system configurations in the self-organized critical state follows a power law as the grid size increases. Therefore, under a uniform but random particle addition, 1/f2 instead of 1/f scaling is observed. The relation with the site percolation problem is also discussed. © 1993 The American Physical Society.en_US
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_US
dc.relation.ispartofPhysical Review Een_US
dc.titleN-dimensional Abelian sandpile model with nearest-neighbor topplingen_US
dc.typeArticleen_US
dc.identifier.emailChau, HF: hfchau@hku.hken_US
dc.identifier.emailCheng, KS: hrspksc@hkucc.hku.hken_US
dc.identifier.authorityChau, HF=rp00669en_US
dc.identifier.authorityCheng, KS=rp00675en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1103/PhysRevE.47.2394en_US
dc.identifier.scopuseid_2-s2.0-35949004798en_US
dc.identifier.volume47en_US
dc.identifier.issue4en_US
dc.identifier.spage2394en_US
dc.identifier.epage2400en_US
dc.identifier.isiWOS:A1993KZ50700032-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChau, HF=7005742276en_US
dc.identifier.scopusauthoridCheng, KS=9745798500en_US

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