|VOLUME 75 | ISSUE 3 |
Two-dimensional site-bond percolation as an example of self-averaging system
O. A. Vasilyev
L. D. Landau Institute for Theoretical Physics RAS, 117940 Moscow, Russia
PACS: 64.60.Cn, 75.10.Hk
The Harris-Aharony for statical model criteria predicts, that if
specific heat exponent , then this model does not exhibit
self-averaging. In two-dimensional percolation
model the index .
It means, that in accordance with Harris-Aharony criteria,
this model can exhibit self-averaging properties.
We study numerically the relative variance RM and Rχ
of the probability of site to belong the "infinite" (maximum) cluster
and the mean finite cluster sizes χ.
It was shown, that
two-dimensional site-bound percolation on the square lattice, where the
bonds play role
of impurity and sites play role of statistical ensemble,
over which the averaging performed, exhibit self-averaging properties.