Dynamic scaling in one-dimensional cluster-cluster aggregation

dc.contributorAalto-yliopistofi
dc.contributorAalto Universityen
dc.contributor.authorHellén, E. K. O.
dc.contributor.authorSimula, T. P.
dc.contributor.authorAlava, Mikko J.
dc.contributor.departmentTeknillisen fysiikan laitosfi
dc.contributor.departmentDepartment of Applied Physicsen
dc.contributor.schoolPerustieteiden korkeakoulufi
dc.contributor.schoolSchool of Scienceen
dc.date.accessioned2015-12-02T10:02:27Z
dc.date.available2015-12-02T10:02:27Z
dc.date.issued2000
dc.description.abstractWe study the dynamic scaling properties of an aggregation model in which particles obey both diffusive and driven ballistic dynamics. The diffusion constant and the velocity of a cluster of size s follow D(s)∼sγ and v(s)∼sδ, respectively. We determine the dynamic exponent and the phase diagram for the asymptotic aggregation behavior in one dimension in the presence of mixed dynamics. The asymptotic dynamics is dominated by the process that has the largest dynamic exponent with a crossover that is located at δ=γ−1. The cluster size distributions scale similarly in all cases but the scaling function depends continuously on γ and δ. For the purely diffusive case the scaling function has a transition from exponential to algebraic behavior at small argument values as γ changes sign, whereas in the drift dominated case the scaling function always decays exponentially.en
dc.description.versionPeer revieweden
dc.format.extent4752-4756
dc.format.mimetypeapplication/pdfen
dc.identifier.citationHellén, E. K. O. & Simula, T. P. & Alava, Mikko J. 2000. Dynamic scaling in one-dimensional cluster-cluster aggregation. Physical Review E. Volume 62, Issue 4. 4752-4756. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.62.4752.en
dc.identifier.doi10.1103/physreve.62.4752
dc.identifier.issn1539-3755 (printed)
dc.identifier.urihttps://aaltodoc.aalto.fi/handle/123456789/18932
dc.identifier.urnURN:NBN:fi:aalto-201512015462
dc.language.isoenen
dc.publisherAmerican Physical Society (APS)en
dc.relation.ispartofseriesPhysical Review Een
dc.relation.ispartofseriesVolume 62, Issue 4
dc.rights© 2000 American Physical Society (APS). This is the accepted version of the following article: Hellén, E. K. O. & Simula, T. P. & Alava, Mikko J. 2000. Dynamic scaling in one-dimensional cluster-cluster aggregation. Physical Review E. Volume 62, Issue 4. 4752-4756. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.62.4752, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.62.4752.en
dc.rights.holderAmerican Physical Society (APS)
dc.subject.keywordaggregation modelen
dc.subject.keyworddiffusionen
dc.subject.keywordballisticsen
dc.subject.keyworddigital simulationsen
dc.subject.otherPhotographyen
dc.titleDynamic scaling in one-dimensional cluster-cluster aggregationen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.dcmitypetexten
dc.type.versionFinal published versionen
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