Cluster growth poised on the edge of break-up: Size distributions with small exponent power-laws

Ismo T Koponen, K. A Riekki

    Forskningsoutput: TidskriftsbidragArtikelVetenskapligPeer review

    Sammanfattning

    "In many naturally occurring growth processes, cluster size distributions of power-law form n(s) proportional to s(-tau) with small exponents 0 < tau < 1 are observed. We suggest here that such distributions emerge naturally from cluster growth, where size dependent aggregation is counterbalanced by size dependent break-up. The model used in the study is a simple reaction kinetic model including only monomer-cluster processes. It is shown that under such conditions power-law size distributions with small exponents are obtained. Therefore, the results suggest that the ubiquity of small exponent power-law distributions is related to the growth process, where aggregation driven cluster growth is poised on the edge of cluster break-up. (C) 2008 Elsevier B.V. All rights reserved."
    Originalspråkengelska
    TidskriftPhysica A: Statistical Mechanics and its Applications
    Volym387
    Sidor (från-till)2504-2510
    Antal sidor7
    ISSN0378-4371
    DOI
    StatusPublicerad - 2008
    MoE-publikationstypA1 Tidskriftsartikel-refererad

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