"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."
|Tidskrift||Physica A: Statistical Mechanics and its Applications|
|Status||Publicerad - 2008|