Issue |
Europhys. Lett.
Volume 56, Number 6, December 2001
|
|
---|---|---|
Page(s) | 898 - 903 | |
Section | Interdisciplinary physics and related areas of science and technology | |
DOI | https://doi.org/10.1209/epl/i2001-00604-2 | |
Published online | 01 December 2003 |
Power law size distribution of supercritical random trees
Institut de Physique Théorique,
Université de Lausanne CH-1015 Dorigny-Lausanne, Switzerland
Received:
30
May
2001
Accepted:
1
October
2001
The probability distribution P(k) of the sizes k of
critical trees (branching ratio m=1)
is well known to show a power law behavior . Such behavior corresponds
to the mean-field approximation for many critical and self-organized critical
phenomena. Here
we show numerically and analytically
that also supercritical trees (branching ration m> 1)
are "critical" in that their size distribution obeys a power law k-2.
We mention some possible applications of these results.
PACS: 89.75.Da – Systems obeying scaling laws / 89.75.-k – Complex systems / 89.90.+n – Other topics in areas of applied and interdisciplinary physics
© EDP Sciences, 2001
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