Directed bond percolation on the honeycomb lattice

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, , Citation R N Onody 1990 J. Phys. A: Math. Gen. 23 L335 DOI 10.1088/0305-4470/23/7/009

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1 Inst. de Fisica e Quimica de Sao Carlos, Sao Paulo Univ., Brazil

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0305-4470/23/7/L335

Abstract

Using a transfer matrix method the authors derive a series expansion for the percolation probability on the directed honeycomb lattice. The high-density series is obtained to order q13. A Pade approximant analysis of the series has been used to estimate the percolation threshold qc and the critical exponent beta .

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