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Monte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees

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 نشر من قبل Tomoaki Nogawa
 تاريخ النشر 2009
  مجال البحث فيزياء
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We perform Monte-Carlo simulations to study the Bernoulli ($p$) bond percolation on the enhanced binary tree which belongs to the class of nonamenable graphs with one end. Our numerical results show that the system has two different percolation thresholds $p_{c1}$ and $p_{c2}$. All the points in the intermediate phase $(p_{c1} < p < p_{c2})$ are critical and there exist infinitely many infinite clusters in the intermediate phase. In this phase the corresponding fractal exponent continuously increases with $p$ from zero to unity.



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