Directed bond percolation on a square lattice. I. Analytical results
- 21 June 1984
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 17 (9) , 1853-1860
- https://doi.org/10.1088/0305-4470/17/9/020
Abstract
A rigorous mathematical formulation of directed percolation is given in terms of matrix recursion equations. The Domany-Kinzel limit is rederived in a very simple way. Expansion around this limit yields surprisingly good results for the percolation probabilities already to first order.Keywords
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