Low-density series expansions for directed percolation III. Some two-dimensional lattices
Iwan Jensen
Abstract
We use very efficient algorithms to calculate low-density series for bond and site percolation on the directed triangular, honeycomb, kagomé, and (4.82) lattices. Analysis of the series yields accurate estimates of the critical point pc and various critical exponents. The exponent estimates differ only in the 5th 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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