| Issue |
Europhys. Lett.
Volume 73, Number 3, February 2006
|
|
|---|---|---|
| Page(s) | 422 - 428 | |
| Section | Interdisciplinary physics and related areas of science and technology | |
| DOI | https://doi.org/10.1209/epl/i2005-10403-9 | |
| Published online | 23 December 2005 | |
Scale-free cluster distributions from conserving merging-fragmentation processes
1
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
Corresponding authors: borg@nbi.dk mhjensen@nbi.dk mathies@nbi.dk polesen@nbi.dk
Received:
15
September
2005
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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