Persistence in cluster-cluster aggregation

dc.contributorAalto Universityen
dc.contributor.authorHellén, E. K. O.
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.description.abstractPersistence is considered in one-dimensional diffusion-limited cluster-cluster aggregation when the diffusion coefficient of a cluster depends on its size s as D(s)∼sγ. The probabilities that a site has been either empty or covered by a cluster all the time define the empty and filled site persistences. The cluster persistence gives the probability of a cluster remaining intact. The empty site and cluster persistences are universal whereas the filled site depends on the initial concentration. For γ>0 the universal persistences decay algebraically with the exponent 2/(2−γ). For the empty site case the exponent remains the same for γ<0 but the cluster persistence shows a stretched exponential behavior as it is related to the small s behavior of the cluster size distribution. The scaling of the intervals between persistent regions demonstrates the presence of two length scales: the one related to the distances between clusters and that between the persistent regions.en
dc.description.versionPeer revieweden
dc.identifier.citationHellén, E. K. O. & Alava, Mikko J. 2002. Persistence in cluster-cluster aggregation. Physical Review E. Volume 66, Issue 2. 026120/1-9. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.66.026120.en
dc.identifier.issn1539-3755 (printed)
dc.publisherAmerican Physical Society (APS)en
dc.relation.ispartofseriesPhysical Review Een
dc.relation.ispartofseriesVolume 66, Issue 2
dc.rights© 2002 American Physical Society (APS). This is the accepted version of the following article: Hellén, E. K. O. & Alava, Mikko J. 2002. Persistence in cluster-cluster aggregation. Physical Review E. Volume 66, Issue 2. 026120/1-9. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.66.026120, which has been published in final form at
dc.rights.holderAmerican Physical Society (APS)
dc.subject.keywordcluster-cluster aggregationen
dc.titlePersistence in cluster-cluster aggregationen
dc.typeA1 Alkuperäisartikkeli tieteellisessä aikakauslehdessäfi
dc.type.versionFinal published versionen
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