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- Publisher Website: 10.1103/PhysRevE.60.5301
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- PMID: 11970399
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Article: Phase diagram of the Biham-Middleton-Levine traffic model in three dimensions
Title | Phase diagram of the Biham-Middleton-Levine traffic model in three dimensions |
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Authors | |
Keywords | Physics |
Issue Date | 1999 |
Publisher | American 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, p. 5301-5304 How to Cite? |
Abstract | We 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 Identifier | http://hdl.handle.net/10722/43273 |
ISSN | |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Chau, HF | en_HK |
dc.contributor.author | Wan, KY | en_HK |
dc.date.accessioned | 2007-03-23T04:42:38Z | - |
dc.date.available | 2007-03-23T04:42:38Z | - |
dc.date.issued | 1999 | en_HK |
dc.identifier.citation | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), 1999, v. 60 n. 5, p. 5301-5304 | - |
dc.identifier.issn | 1063-651X | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/43273 | - |
dc.description.abstract | We 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.extent | 75060 bytes | - |
dc.format.extent | 28160 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/msword | - |
dc.language | eng | en_HK |
dc.publisher | American Physical Society. The Journal's web site is located at http://pre.aps.org | en_HK |
dc.relation.ispartof | Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics) | - |
dc.rights | Copyright 1999 by The American Physical Society. This article is available online at https://doi.org/10.1103/PhysRevE.60.5301 | - |
dc.subject | Physics | en_HK |
dc.title | Phase diagram of the Biham-Middleton-Levine traffic model in three dimensions | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Chau, HF: hfchau@hku.hk | en_HK |
dc.identifier.authority | Chau, HF=rp00669 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1103/PhysRevE.60.5301 | en_HK |
dc.identifier.pmid | 11970399 | - |
dc.identifier.scopus | eid_2-s2.0-4243497533 | en_HK |
dc.identifier.hkuros | 47457 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-4243497533&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 60 | en_HK |
dc.identifier.issue | 5 | en_HK |
dc.identifier.spage | 5301 | en_HK |
dc.identifier.epage | 5304 | en_HK |
dc.identifier.isi | WOS:000083870700042 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Chau, HF=7005742276 | en_HK |
dc.identifier.scopusauthorid | Wan, KY=7102748975 | en_HK |
dc.identifier.issnl | 1063-651X | - |