Analytic results for the percolation transitions of the enhanced binary tree

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Analytic results for the percolation transitions of the enhanced binary tree.

Percolation for a planar lattice has a single percolation threshold, whereas percolation for a negatively curved lattice displays two separate thresholds. The enhanced binary tree (EBT) can be viewed as a prototype model displaying two separate percolation thresholds. We present an analytic result for the EBT model which gives two critical percolation threshold probabilities, p(c1) = 1/2 square...

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ژورنال

عنوان ژورنال: Physical Review E

سال: 2010

ISSN: 1539-3755,1550-2376

DOI: 10.1103/physreve.82.011113