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Directed Percolation and the Golden Ratio

by: Stephan M Dammer, Silvio R Dahmen, Haye Hinrichsen
(20 Jun 2001)


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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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