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

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dc.creatorNogawa, Tomoaki
dc.creatorHasegawa, Takehisa
dc.date2008-10-09
dc.date2009-02-09
dc.date.accessioned2026-07-07T12:53:25Z
dc.date.available2026-07-07T12:53:25Z
dc.descriptionWe 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.
dc.description4 pages, 6 figures
dc.identifierhttps://arxiv.org/abs/0810.1602
dc.identifierhttp://arxiv.org/abs/0810.1602
dc.identifierJ. Phys. A: Math. Theor. 42 (2009) 145001
dc.identifierdoi:10.1088/1751-8113/42/14/145001
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/223617
dc.subjectStatistical Mechanics
dc.subjectDisordered Systems and Neural Networks
dc.titleMonte-Carlo simulation study of the two-stage percolation transition in enhanced binary trees
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