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Estimation of bond percolation thresholds on the Archimedean lattices

Robert Parviainen

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We give accurate estimates for the bond percolation critical probabilities on seven Archimedean lattices, for which the critical probabilities are unknown, using an algorithm of Newman and Ziff.


PACS

05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

MSC

60K35 Interacting random processes; statistical mechanics type models; percolation theory (See also 82B43, 82C43)

82B20 Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs

82B43 Percolation (See also 60K35)

Subjects

Statistical physics and nonlinear systems

Dates

Issue 31 (3 August 2007)

Received 27 April 2007, in final form 14 June 2007

Published 19 July 2007



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