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Persistence in cluster-cluster aggregation
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© 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 http://journals.aps.org/pre/abstract/10.1103/PhysRevE.66.026120.
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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en
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026120/1-9
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Physical Review E, Volume 66, Issue 2
Abstract
Persistence 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.
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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.