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Article: Cellular automaton model for diffusive and dissipative systems

TitleCellular automaton model for diffusive and dissipative systems
Authors
KeywordsPhysics
Issue Date1995
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E, 1995, v. 51 n. 4, p. 3045-3051 How to Cite?
AbstractWe study a cellular automaton model which allows diffusion of energy (or equivalently any other physical quantities such as mass of a particular compound) at every lattice site after each time step. A unit amount of energy is randomly added onto a site. Whenever the local energy content of a site reaches a fixed threshold Ec1, energy will be dissipated. The dissipation of energy propagates to the neighboring sites provided that the energy contents of those sites are greater than or equal to another fixed threshold Ec2 (≤Ec1). Under such dynamics, the system evolves into three different types of states depending on the values of Ec1 and Ec2 as reflected in their dissipation size distributions, namely, localized peaks, power laws, or exponential laws. This model is able to describe the behaviors of various physical systems including the statistics of burst sizes and burst rates in type-I x-ray bursters. Comparisons between our model and the famous forest-fire model are made. © 1995 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/43173
ISSN
2004 Impact Factor: 2.352
2003 SCImago Journal Rankings: 1.360
ISI Accession Number ID

 

DC FieldValueLanguage
dc.contributor.authorChan, TCen_HK
dc.contributor.authorChau, HFen_HK
dc.contributor.authorCheng, KSen_HK
dc.date.accessioned2007-03-23T04:40:41Z-
dc.date.available2007-03-23T04:40:41Z-
dc.date.issued1995en_HK
dc.identifier.citationPhysical Review E, 1995, v. 51 n. 4, p. 3045-3051en_HK
dc.identifier.issn1063-651Xen_HK
dc.identifier.urihttp://hdl.handle.net/10722/43173-
dc.description.abstractWe study a cellular automaton model which allows diffusion of energy (or equivalently any other physical quantities such as mass of a particular compound) at every lattice site after each time step. A unit amount of energy is randomly added onto a site. Whenever the local energy content of a site reaches a fixed threshold Ec1, energy will be dissipated. The dissipation of energy propagates to the neighboring sites provided that the energy contents of those sites are greater than or equal to another fixed threshold Ec2 (≤Ec1). Under such dynamics, the system evolves into three different types of states depending on the values of Ec1 and Ec2 as reflected in their dissipation size distributions, namely, localized peaks, power laws, or exponential laws. This model is able to describe the behaviors of various physical systems including the statistics of burst sizes and burst rates in type-I x-ray bursters. Comparisons between our model and the famous forest-fire model are made. © 1995 The American Physical Society.en_HK
dc.format.extent1371281 bytes-
dc.format.extent12158 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypetext/plain-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_HK
dc.relation.ispartofPhysical Review Een_HK
dc.rightsPhysical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics). Copyright © American Physical Society.en_HK
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectPhysicsen_HK
dc.titleCellular automaton model for diffusive and dissipative systemsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1063-651X&volume=51&issue=4&spage=3045&epage=3051&date=1995&atitle=Cellular+automaton+model+for+diffusive+and+dissipative+systemsen_HK
dc.identifier.emailChau, HF: hfchau@hku.hken_HK
dc.identifier.emailCheng, KS: hrspksc@hkucc.hku.hken_HK
dc.identifier.authorityChau, HF=rp00669en_HK
dc.identifier.authorityCheng, KS=rp00675en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevE.51.3045en_HK
dc.identifier.scopuseid_2-s2.0-3743080350en_HK
dc.identifier.hkuros20478-
dc.identifier.volume51en_HK
dc.identifier.issue4en_HK
dc.identifier.spage3045en_HK
dc.identifier.epage3051en_HK
dc.identifier.isiWOS:A1995QV54000055-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChan, TC=36795662100en_HK
dc.identifier.scopusauthoridChau, HF=7005742276en_HK
dc.identifier.scopusauthoridCheng, KS=9745798500en_HK

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