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Precise calculation of the threshold of various directed percolation models on a square lattice

Danyel J. B. Soares·Jose S. Andrade Jr.·Hans J. Herrmann
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Abstract

Using Monte Carlo simulations on different system sizes we determine with high precision the critical thresholds of two families of directed percolation models on a square lattice. The thresholds decrease exponentially with the degree of connectivity. We conjecture that $p_{c}$ decays exactly as the inverse of the coodination number.

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Danyel J. B. Soares, Jose S. Andrade Jr., Hans J. Herrmann. 2005-03-16. Precise calculation of the threshold of various directed percolation models on a square lattice. https://doi.org/10.1088/0305-4470%2F38%2F21%2Fl06

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