Cluster persistence in one-dimensional diffusion-limited 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. & Salmi, P. E. & Alava, Mikko J. 2002. Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation. Physical Review E. Volume 66, Issue 5. 051108/1-10. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.66.051108, which has been published in final form at http://journals.aps.org/pre/abstract/10.1103/PhysRevE.66.051108.
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A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
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Date
2002
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Language
en
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051108/1-10
Series
Physical Review E, Volume 66, Issue 5
Abstract
The persistence probability, PC(t), of a cluster to remain unaggregated is studied in cluster-cluster aggregation, when the diffusion coefficient of a cluster depends on its size s as D(s)∼sγ. In the mean field the problem maps to the survival of three annihilating random walkers with time-dependent noise correlations. For γ>~0 the motion of persistent clusters becomes asymptotically irrelevant and the mean-field theory provides a correct description. For γ<0 the spatial fluctuations remain relevant and the persistence probability is overestimated by the random walk theory. The decay of persistence determines the small size tail of the cluster size distribution. For 0<γ<2 the distribution is flat and, surprisingly, independent of γ.Description
Keywords
cluster-cluster aggregation, persistence
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Citation
Hellén, E. K. O. & Salmi, P. E. & Alava, Mikko J. 2002. Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation. Physical Review E. Volume 66, Issue 5. 051108/1-10. ISSN 1539-3755 (printed). DOI: 10.1103/physreve.66.051108.