RUS  ENG
Full version
JOURNALS // Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki // Archive

Pis'ma v Zh. Èksper. Teoret. Fiz., 2002 Volume 75, Issue 3, Pages 191–146 (Mi jetpl3157)

CONDENSED MATTER

Two-dimensional site-bond percolation as an example of self-averaging system

O. A. Vasil'ev

L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences

Abstract: The Harris-Aharony for statical model criteria predicts, that if specific heat exponent $\alpha \ge 0$, then this model does not exhibit self-averaging. In two-dimensional percolation model the index $\alpha=-\frac{1}{2}$. It means, that in accordance with Harris-Aharony criteria, this model can exhibit self-averaging properties. We study numerically the relative variance $R_{M}$ and $R_{\chi}$ of the probability of site to belong the «infinite» (maximum) cluster $M$ and the mean finite cluster sizes $\chi$. 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.

PACS: 64.60.Cn, 75.10.Hk

Received: 27.12.2001

Language: English


 English version:
Journal of Experimental and Theoretical Physics Letters, 2002, 75:3, 162–166

Bibliographic databases:


© Steklov Math. Inst. of RAS, 2025