Directed Percolation and the Golden Ratio
Statistical Mechanics
2007-05-23 v1
Abstract
Applying the theory of Yang-Lee zeros to nonequilibrium critical phenomena, we investigate the properties of a directed bond percolation process for a complex percolation parameter p. It is shown that for the Golden Ratio p=(1(+/-)sqrt(5))/2 and for p=2 the survival probability of a cluster can be computed exactly.
Keywords
Cite
@article{arxiv.cond-mat/0106396,
title = {Directed Percolation and the Golden Ratio},
author = {Stephan M Dammer and Silvio R Dahmen and Haye Hinrichsen},
journal= {arXiv preprint arXiv:cond-mat/0106396},
year = {2007}
}
Comments
LaTeX, IOP-style, 6 pages, 4 eps figures