Volume 73, Number 3, February 2006
|Page(s)||422 - 428|
|Section||Interdisciplinary physics and related areas of science and technology|
|Published online||23 December 2005|
Scale-free cluster distributions from conserving merging-fragmentation processes
NORDITA - Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
2 Niels Bohr Institute - Blegdamsvej 17, DK-2100 Copenhagen Ø, Denmark
3 NTNU, Institutt for fysikk - N-7491 Trondheim, Norway
Accepted: 2 December 2005
We propose a dynamical scheme for the combined processes of fragmentation and merging as a model system for cluster dynamics in nature and society displaying scale-invariant properties. The clusters merge and fragment with rates proportional to their sizes, conserving the total mass. The total number of clusters grows continuously but the full time-dependent distribution can be rescaled over at least 15 decades onto a universal curve which we derive analytically. This curve includes a scale-free solution with a scaling exponent of for the cluster sizes.
PACS: 82.30.Lp – Decomposition reactions (pyrolysis, dissociation, and fragmentation) / 05.70.Jk – Critical point phenomena / 68.35.Fx – Diffusion; interface formation
© EDP Sciences, 2006
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