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Low-density series expansions for directed percolation III. Some two-dimensional lattices

Iwan Jensen
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Abstract

We use very efficient algorithms to calculate low-density series for bond and site percolation on the directed triangular, honeycomb, kagomé, and $(4.8^2)$ lattices. Analysis of the series yields accurate estimates of the critical point $p_c$ and various critical exponents. The exponent estimates differ only in the $5^{th}$ digit, thus providing strong numerical evidence for the expected universality of the critical exponents for directed percolation problems. In addition we also study the non-physical singularities of the series.

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Iwan Jensen. 2004-05-21. Low-density series expansions for directed percolation III. Some two-dimensional lattices. https://doi.org/10.1088/0305-4470%2F37%2F27%2F003

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