Tomoaki Nogawa and Takehisa Hasegawa 2009 J. Phys. A: Math. Theor. 42 478002 doi:10.1088/1751-8113/42/47/478002
Reply to the comment on 'Monte Carlo simulation study of the two-stage percolation transition in enhanced binary trees'
Tomoaki Nogawa1 and Takehisa Hasegawa2
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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 (2009 J. Phys. A: Math. Theor. 42 145001) and the other in the comment to it from Baek et al (2009 J. Phys. A: Math. Theor. 42 478001). 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.
- PACS
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05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
- MSC
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82B80 Numerical methods (Monte Carlo, series resummation, etc.) (See also 65-XX, 81T80)
- Subjects
- Dates
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Issue 47 (27 November 2009)
Received 4 August 2009
Published 4 November 2009
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Reply to the comment on 'Monte Carlo simulation study of the two-stage percolation transition in enhanced binary trees'
Tomoaki Nogawa and Takehisa Hasegawa 2009 J. Phys. A: Math. Theor. 42 478002
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