paper

Directed Percolation and the Golden Ratio

arXiv:cond-mat/0106396

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.

LaTeX, IOP-style, 6 pages, 4 eps figures

Directed Percolation and the Golden Ratio · wovepaper