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• W2015596747 abstract "A generalization of the classical monomer site-bond percolation problem is studied in which linear $k$-uples of nearest neighbor sites (site $k$-mers) and linear $k$-uples of nearest neighbor bonds (bond $k$-mers) are independently occupied at random on a square lattice. We called this model the site-bond percolation of polyatomic species or $k$-mer site-bond percolation. Motivated by considerations of cluster connectivity, we have used two distinct schemes (denoted as $Sensuremath{cap}B$ and $Sensuremath{cup}B$) for $k$-mer site-bond percolation. In $Sensuremath{cap}B(Sensuremath{cup}B)$, two points are said to be connected if a sequence of occupied sites and (or) bonds joins them. By using Monte Carlo simulations and finite-size scaling theory, data from $Sensuremath{cap}B$ and $Sensuremath{cup}B$ are analyzed in order to determine the critical curves separating the percolating and nonpercolating regions." @default.
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• W2015596747 date "2005-12-30" @default.
• W2015596747 modified "2023-10-06" @default.
• W2015596747 title "Site-bond percolation of polyatomic species" @default.
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• W2015596747 doi "https://doi.org/10.1103/physreve.72.066129" @default.
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