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Article: Generalized sandpile model and the characterization of the existence of self-organized criticality

TitleGeneralized sandpile model and the characterization of the existence of self-organized criticality
Authors
Issue Date1991
PublisherAmerican Physical Society. The Journal's web site is located at http://pra.aps.org
Citation
Physical Review A, 1991, v. 44 n. 10, p. 6233-6240 How to Cite?
AbstractWe consider a generalized sandpile model where the particle addition and toppling are formulated in terms of mappings. In this way, the toppling rules and toppling conditions of the system can also be completely general. Even under these extremely relaxed conditions, we can still find an if and only if condition for the existence of an absolute steady state. Moreover, such a kind of absolute steady state often exhibits self-organized criticality. Our model is a superset of both the original Bak-Tang-Wiesenfeld sandpile and the Abelian sandpile models. Finally, we shall demonstrate the importance of both the particle-addition methods and the boundary conditions to the self-organized critical phenomena of a physical system. © 1991 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/175094
ISSN
2014 Impact Factor: 2.808
2015 SCImago Journal Rankings: 1.418
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChau, HFen_US
dc.contributor.authorCheng, KSen_US
dc.date.accessioned2012-11-26T08:49:10Z-
dc.date.available2012-11-26T08:49:10Z-
dc.date.issued1991en_US
dc.identifier.citationPhysical Review A, 1991, v. 44 n. 10, p. 6233-6240en_US
dc.identifier.issn1050-2947en_US
dc.identifier.urihttp://hdl.handle.net/10722/175094-
dc.description.abstractWe consider a generalized sandpile model where the particle addition and toppling are formulated in terms of mappings. In this way, the toppling rules and toppling conditions of the system can also be completely general. Even under these extremely relaxed conditions, we can still find an if and only if condition for the existence of an absolute steady state. Moreover, such a kind of absolute steady state often exhibits self-organized criticality. Our model is a superset of both the original Bak-Tang-Wiesenfeld sandpile and the Abelian sandpile models. Finally, we shall demonstrate the importance of both the particle-addition methods and the boundary conditions to the self-organized critical phenomena of a physical system. © 1991 The American Physical Society.en_US
dc.languageengen_US
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pra.aps.orgen_US
dc.relation.ispartofPhysical Review Aen_US
dc.titleGeneralized sandpile model and the characterization of the existence of self-organized criticalityen_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/PhysRevA.44.6233en_US
dc.identifier.scopuseid_2-s2.0-35949014377en_US
dc.identifier.volume44en_US
dc.identifier.issue10en_US
dc.identifier.spage6233en_US
dc.identifier.epage6240en_US
dc.identifier.isiWOS:A1991GR73800014-
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChau, HF=7005742276en_US
dc.identifier.scopusauthoridCheng, KS=9745798500en_US

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