On Site Percolation on Correlated Simple Cubic Lattice
Yuriy Yu. Tarasevich, Elena N. Manzhosova (Institute for Physics, and Mathematics, Astrakhan State University, Russia)

TL;DR
This paper investigates site percolation on a correlated simple cubic lattice with anti-site disorder, estimating the percolation threshold, analyzing cluster size distribution, and discussing potential applications to double 1:1 perovskites.
Contribution
It introduces a model of correlated bi-colored cubic lattice with anti-site disorder and estimates the percolation threshold and cluster distributions.
Findings
Percolation threshold estimated for the correlated lattice
Cluster size distribution obtained
Discussion on application to double 1:1 perovskites
Abstract
We consider site percolation on a correlated bi-colored simple cubic lattice. The correlated medium is constructed from a strongly alternating bi-colored simple cubic lattice due to anti-site disordering. The percolation threshold is estimated. The cluster size distribution is obtained. A possible application to the double 1:1 perovskites is discussed.
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