Persistence in Cluster-Cluster Aggregation
Loading...
Access rights
openAccess
publishedVersion
URL
Journal Title
Journal ISSN
Volume Title
A1 Alkuperäisartikkeli tieteellisessä aikakauslehdessä
This publication is imported from Aalto University research portal.
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
View publication in the Research portal (opens in new window)
View/Open full text file from the Research portal (opens in new window)
Unless otherwise stated, all rights belong to the author. You may download, display and print this publication for Your own personal use. Commercial use is prohibited.
Authors
Date
Department
Major/Subject
Mcode
Degree programme
Language
en
Pages
Series
Physical Review E, Volume 66, issue 2, pp. 1-9
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.Description
Keywords
Other note
Citation
Hellén, E K O & Alava, M J 2002, 'Persistence in Cluster-Cluster Aggregation', Physical Review E, vol. 66, no. 2, 026120, pp. 1-9. https://doi.org/10.1103/PhysRevE.66.026120