Critical Behavior in Percolation Processes
1970; American Physical Society; Volume: 2; Issue: 1 Linguagem: Inglês
10.1103/physrevb.2.162
ISSN0556-2805
Autores Tópico(s)Random Matrices and Applications
ResumoThe Monte Carlo percolation-probability data of Frisch et al. are analyzed under the assumption that $R(p)$, the probability that a given site (bond) belongs to an infinite cluster as a function of the probability $p$ of site (bond) occupation, has the asymptotic behavior $R(p)\ensuremath{\sim}{(p\ensuremath{-}{p}_{c})}^{\ensuremath{\beta}}$, as $p\ensuremath{\rightarrow}{p}_{c}^{+}$, where ${p}_{c}$ is the critical percolation probability. The estimated values of $\ensuremath{\beta}$ for various lattices are tabulated.
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