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

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  • Koponen, I.T.
  • Riekki, K.A.

Abstract

In many naturally occurring growth processes, cluster size distributions of power-law form n(s)∝s−τ with small exponents 0<τ<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.

Suggested Citation

  • Koponen, I.T. & Riekki, K.A., 2008. "Cluster growth poised on the edge of break-up: Size distributions with small exponent power-laws," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(11), pages 2504-2510.
    • Handle: RePEc:eee:phsmap:v:387:y:2008:i:11:p:2504-2510
    DOI: 10.1016/j.physa.2008.01.013
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