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

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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 (4.82) 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.

Original languageEnglish
Pages (from-to)6899-6915
Number of pages17
JournalJournal of Physics A: Mathematical and General
Volume37
Issue number27
DOIs
Publication statusPublished - 9 Jul 2004
Externally publishedYes

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