Directed Percolation and the Golden Ratio

Physics – Condensed Matter – Statistical Mechanics

Scientific paper

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

Scientific paper

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.

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