Dynamic scaling for aggregation of clusters

T. Vicsek, Fereydoon Family

Research output: Contribution to journalArticle

457 Citations (Scopus)

Abstract

The model of cluster growth by diffusion-limited aggregation of clusters is studied in two dimensions and the cluster size distribution ns (t) is determined as a function of the cluster size s and the time t. A dynamic scaling function of the form ns (t)∼t-ws-τf (stz) is proposed and is shown to lead to the scaling relation w=(2-τ)z among the critical exponents. The simulation results support this scaling law.

Original languageEnglish
Pages (from-to)1669-1672
Number of pages4
JournalPhysical Review Letters
Volume52
Issue number19
DOIs
Publication statusPublished - 1984

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scaling
scaling laws
exponents
simulation

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  • Physics and Astronomy(all)

Cite this

Dynamic scaling for aggregation of clusters. / Vicsek, T.; Family, Fereydoon.

In: Physical Review Letters, Vol. 52, No. 19, 1984, p. 1669-1672.

Research output: Contribution to journalArticle

Vicsek, T. ; Family, Fereydoon. / Dynamic scaling for aggregation of clusters. In: Physical Review Letters. 1984 ; Vol. 52, No. 19. pp. 1669-1672.
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