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Article: Phase diagram of the Biham-Middleton-Levine traffic model in three dimensions

TitlePhase diagram of the Biham-Middleton-Levine traffic model in three dimensions
Authors
KeywordsPhysics
Issue Date1999
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E - Statistical Physics, Plasmas, Fluids, And Related Interdisciplinary Topics, 1999, v. 60 n. 5 A, p. 5301-5304 How to Cite?
AbstractWe study numerically the behavior of the Biham-Middleton-Levine traffic model in three dimensions. Our extensive numerical simulations show that the phase diagram for this model in three dimensions is markedly different from that in one and two dimensions. In addition to the full speed moving as well as the completely jamming phases, whose respective average asymptotic car speeds 〈υ〉 equal one and zero, we observe an extensive region of car densities p with a low but nonzero average asymptotic car speed. The transition from this extensive low average asymptotic car speed region to the completely jamming region is at least second order. We argue that this low speed region is a result of the formation of a spatially limited-extended percolating cluster. Thus, this low speed phase is present in the (n>3)-dimensional Biham-Middleton-Levine model as well.
Persistent Identifierhttp://hdl.handle.net/10722/43273
ISSN
2004 Impact Factor: 2.352
2003 SCImago Journal Rankings: 1.360
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChau, HFen_HK
dc.contributor.authorWan, KYen_HK
dc.date.accessioned2007-03-23T04:42:38Z-
dc.date.available2007-03-23T04:42:38Z-
dc.date.issued1999en_HK
dc.identifier.citationPhysical Review E - Statistical Physics, Plasmas, Fluids, And Related Interdisciplinary Topics, 1999, v. 60 n. 5 A, p. 5301-5304en_HK
dc.identifier.issn1063-651Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/43273-
dc.description.abstractWe study numerically the behavior of the Biham-Middleton-Levine traffic model in three dimensions. Our extensive numerical simulations show that the phase diagram for this model in three dimensions is markedly different from that in one and two dimensions. In addition to the full speed moving as well as the completely jamming phases, whose respective average asymptotic car speeds 〈υ〉 equal one and zero, we observe an extensive region of car densities p with a low but nonzero average asymptotic car speed. The transition from this extensive low average asymptotic car speed region to the completely jamming region is at least second order. We argue that this low speed region is a result of the formation of a spatially limited-extended percolating cluster. Thus, this low speed phase is present in the (n>3)-dimensional Biham-Middleton-Levine model as well.en_HK
dc.format.extent75060 bytes-
dc.format.extent28160 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_HK
dc.relation.ispartofPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topicsen_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.rightsPhysical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics). Copyright © American Physical Society.en_HK
dc.subjectPhysicsen_HK
dc.titlePhase diagram of the Biham-Middleton-Levine traffic model in three dimensionsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1063-651X&volume=60&issue=5&spage=5301&epage=5304&date=1999&atitle=Phase+diagram+of+the+Biham-Middleton-Levine+traffic+model+in+three+dimensionsen_HK
dc.identifier.emailChau, HF: hfchau@hku.hken_HK
dc.identifier.authorityChau, HF=rp00669en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevE.60.5301en_HK
dc.identifier.pmid11970399-
dc.identifier.scopuseid_2-s2.0-4243497533en_HK
dc.identifier.hkuros47457-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-4243497533&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume60en_HK
dc.identifier.issue5 Aen_HK
dc.identifier.spage5301en_HK
dc.identifier.epage5304en_HK
dc.identifier.isiWOS:000083870700042-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChau, HF=7005742276en_HK
dc.identifier.scopusauthoridWan, KY=7102748975en_HK

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