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Dynamic scaling in one-dimensional cluster-cluster aggregation

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dc.contributor Aalto-yliopisto fi
dc.contributor Aalto University en
dc.contributor.author Hellén, E. K. O.
dc.contributor.author Simula, T. P.
dc.contributor.author Alava, Mikko J.
dc.date.accessioned 2015-12-02T10:02:27Z
dc.date.available 2015-12-02T10:02:27Z
dc.date.issued 2000
dc.identifier.citation 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. en
dc.identifier.issn 1539-3755 (printed)
dc.identifier.uri https://aaltodoc.aalto.fi/handle/123456789/18932
dc.description.abstract We 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.format.extent 4752-4756
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher American Physical Society (APS) en
dc.relation.ispartofseries Physical Review E en
dc.relation.ispartofseries Volume 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.subject.other Photography en
dc.title Dynamic scaling in one-dimensional cluster-cluster aggregation en
dc.type A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä fi
dc.description.version Peer reviewed en
dc.rights.holder American Physical Society (APS)
dc.contributor.school Perustieteiden korkeakoulu fi
dc.contributor.school School of Science en
dc.contributor.department Teknillisen fysiikan laitos fi
dc.contributor.department Department of Applied Physics en
dc.subject.keyword aggregation model en
dc.subject.keyword diffusion en
dc.subject.keyword ballistics en
dc.subject.keyword digital simulations en
dc.identifier.urn URN:NBN:fi:aalto-201512015462
dc.type.dcmitype text en
dc.identifier.doi 10.1103/physreve.62.4752
dc.type.version Final published version en


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