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

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

2005-03-16

arxiv.org/abs/cond-mat/0503408v1

Physics

Condensed Matter

Statistical Mechanics

2 pages, 2 figures and 1 table

Scientific paper

10.1088/0305-4470/38/21/L06

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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