Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation

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Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation. / Hellén, E.K.O.; Salmi, P.E.; Alava, M. J.

In: Physical Review E, Vol. 66, No. 5, 051108, 11.2002, p. 1-10.

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@article{d72db5e9bfd1451aac0bb1e5c86bb504,
title = "Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation",
abstract = "The persistence probability, P C(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 over-estimated 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.",
author = "E.K.O. Hell{\'e}n and P.E. Salmi and Alava, {M. J.}",
year = "2002",
month = "11",
doi = "10.1103/PhysRevE.66.051108",
language = "English",
volume = "66",
pages = "1--10",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "5",

}

RIS - Download

TY - JOUR

T1 - Cluster persistence in one-dimensional diffusion-limited cluster-cluster aggregation

AU - Hellén, E.K.O.

AU - Salmi, P.E.

AU - Alava, M. J.

PY - 2002/11

Y1 - 2002/11

N2 - The persistence probability, P C(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 over-estimated 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.

AB - The persistence probability, P C(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 over-estimated 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.

UR - http://www.scopus.com/inward/record.url?scp=41349095420&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.66.051108

DO - 10.1103/PhysRevE.66.051108

M3 - Article

VL - 66

SP - 1

EP - 10

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 5

M1 - 051108

ER -

ID: 14527166