Persistence in Cluster-Cluster Aggregation

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Persistence in Cluster-Cluster Aggregation. / Hellén, E.K.O.; Alava, M.J.

julkaisussa: Physical Review E, Vuosikerta 66, Nro 2, 026120, 2002, s. 1-9.

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Hellén, E.K.O. ; Alava, M.J. / Persistence in Cluster-Cluster Aggregation. Julkaisussa: Physical Review E. 2002 ; Vuosikerta 66, Nro 2. Sivut 1-9.

Bibtex - Lataa

@article{653c0d56e48d4a1b836aab71778bbb4f,
title = "Persistence in Cluster-Cluster Aggregation",
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.",
keywords = "aggregation, persistence, universality, aggregation, persistence, universality, aggregation, persistence, universality",
author = "E.K.O. Hell{\'e}n and M.J. Alava",
year = "2002",
doi = "10.1103/PhysRevE.66.026120",
language = "English",
volume = "66",
pages = "1--9",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "2",

}

RIS - Lataa

TY - JOUR

T1 - Persistence in Cluster-Cluster Aggregation

AU - Hellén, E.K.O.

AU - Alava, M.J.

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

KW - aggregation

KW - persistence

KW - universality

KW - aggregation

KW - persistence

KW - universality

KW - aggregation

KW - persistence

KW - universality

U2 - 10.1103/PhysRevE.66.026120

DO - 10.1103/PhysRevE.66.026120

M3 - Article

VL - 66

SP - 1

EP - 9

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 2

M1 - 026120

ER -

ID: 3423225