Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-10-30
J. Phys. A: Math. Theor. 42 (2009) 478002
Physics
Condensed Matter
Statistical Mechanics
5 pages, 4 figures
Scientific paper
10.1088/1751-8113/42/47/478002
We discuss the nature of the two-stage percolation transition on the enhanced binary tree in order to explain the disagreement in the estimation of the second transition probability between the one in our recent paper (J. Phys. A:Math. Theor. 42 (2009) 145001) and the one in the comment to it from Baek, Minnhagen and Kim. We point out some reasons that the finite size scaling analysis used by them is not proper for the enhanced tree due to its nonamenable nature, which is verified by some numerical results.
Hasegawa Takehisa
Nogawa Tomoaki
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