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Article: A class of lattice continuous models of self-organized criticality

TitleA class of lattice continuous models of self-organized criticality
Authors
Issue Date1994
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa
Citation
Physica A: Statistical Mechanics and its Applications, 1994, v. 208 n. 2, p. 215-231 How to Cite?
AbstractUnlike the conventional case of using cellular automata, we use a system of differential equations to study the self-organized criticality of physical systems. We see that it is not uncommon for some physical quantities, such as power loss, of the system to exhibit 1/f scaling in our new model. Comparison with the original models self-organized criticality (SOC) is also discussed. By means of stochastic lattice differential equations, we can also examine the behavior of the system when the particle addition rate is comparable to the particle dissipation rate which is not allowed by the original models of SOC. Finally, we shall formulate a set of equations using these continuous models to describe a recent experiment done on real sandpiles.
Persistent Identifierhttp://hdl.handle.net/10722/80759
ISSN
2015 Impact Factor: 1.785
2015 SCImago Journal Rankings: 0.738

 

DC FieldValueLanguage
dc.contributor.authorChau, HF-
dc.contributor.authorCheng, KS-
dc.date.accessioned2010-09-06T08:09:57Z-
dc.date.available2010-09-06T08:09:57Z-
dc.date.issued1994-
dc.identifier.citationPhysica A: Statistical Mechanics and its Applications, 1994, v. 208 n. 2, p. 215-231-
dc.identifier.issn0378-4371-
dc.identifier.urihttp://hdl.handle.net/10722/80759-
dc.description.abstractUnlike the conventional case of using cellular automata, we use a system of differential equations to study the self-organized criticality of physical systems. We see that it is not uncommon for some physical quantities, such as power loss, of the system to exhibit 1/f scaling in our new model. Comparison with the original models self-organized criticality (SOC) is also discussed. By means of stochastic lattice differential equations, we can also examine the behavior of the system when the particle addition rate is comparable to the particle dissipation rate which is not allowed by the original models of SOC. Finally, we shall formulate a set of equations using these continuous models to describe a recent experiment done on real sandpiles.-
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physa-
dc.relation.ispartofPhysica A: Statistical Mechanics and its Applications-
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in [Journal title]. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in PUBLICATION, [VOL#, ISSUE#, (DATE)] DOI#-
dc.titleA class of lattice continuous models of self-organized criticality-
dc.typeArticle-
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0378-4371&volume=208&spage=215&epage=231&date=1994&atitle=A+class+of+Lettin+continuous+models+of+S.O.C.en_HK
dc.identifier.emailCheng, KS: hrspksc@hkucc.hku.hk-
dc.identifier.authorityCheng, KS=rp00675-
dc.identifier.doi10.1016/0378-4371(94)00025-5-
dc.identifier.scopuseid_2-s2.0-43949157016-
dc.identifier.hkuros3291-
dc.identifier.volume208-
dc.identifier.issue2-
dc.identifier.spage215-
dc.identifier.epage231-
dc.publisher.placeNetherlands-

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