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Article: Completely deterministic self-organized critical state of sandpile automaton models

TitleCompletely deterministic self-organized critical state of sandpile automaton models
Authors
Issue Date1991
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physleta
Citation
Physics Letters A, 1991, v. 157 n. 2-3, p. 103-106 How to Cite?
AbstractWe study the general Abelian sandpile cellular automaton model of self-organized criticality in which the toppling conditions depend on the local height. We find that under some special kind of toppling rules, the self-organized critical states become completely deterministic, that is, the evolution of the system depends only on the total number of particles added to it but is totally independent of where you drop those particles. The results is quite general and can be applied to various models of self-organized criticality. The result has a close resemblance with the study of periodic behavior of circle maps in chaos. © 1991.
Persistent Identifierhttp://hdl.handle.net/10722/175141
ISSN
2023 Impact Factor: 2.3
2023 SCImago Journal Rankings: 0.483
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChau, HFen_US
dc.contributor.authorCheng, KSen_US
dc.date.accessioned2012-11-26T08:49:23Z-
dc.date.available2012-11-26T08:49:23Z-
dc.date.issued1991en_US
dc.identifier.citationPhysics Letters A, 1991, v. 157 n. 2-3, p. 103-106en_US
dc.identifier.issn0375-9601en_US
dc.identifier.urihttp://hdl.handle.net/10722/175141-
dc.description.abstractWe study the general Abelian sandpile cellular automaton model of self-organized criticality in which the toppling conditions depend on the local height. We find that under some special kind of toppling rules, the self-organized critical states become completely deterministic, that is, the evolution of the system depends only on the total number of particles added to it but is totally independent of where you drop those particles. The results is quite general and can be applied to various models of self-organized criticality. The result has a close resemblance with the study of periodic behavior of circle maps in chaos. © 1991.en_US
dc.languageengen_US
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physletaen_US
dc.relation.ispartofPhysics Letters Aen_US
dc.titleCompletely deterministic self-organized critical state of sandpile automaton modelsen_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.scopuseid_2-s2.0-44949277383en_US
dc.identifier.volume157en_US
dc.identifier.issue2-3en_US
dc.identifier.spage103en_US
dc.identifier.epage106en_US
dc.identifier.isiWOS:A1991FZ52100004-
dc.publisher.placeNetherlandsen_US
dc.identifier.scopusauthoridChau, HF=7005742276en_US
dc.identifier.scopusauthoridCheng, KS=9745798500en_US
dc.identifier.issnl0375-9601-

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