English

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

Statistical Mechanics 2009-11-11 v1

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 pcp_{c} decays exactly as the inverse of the coodination number.

Keywords

Cite

@article{arxiv.cond-mat/0503408,
  title  = {Precise calculation of the threshold of various directed percolation models on a square lattice},
  author = {Danyel J. B. Soares and Jose S. Andrade and Hans J. Herrmann},
  journal= {arXiv preprint arXiv:cond-mat/0503408},
  year   = {2009}
}

Comments

2 pages, 2 figures and 1 table