Directed percolation, fractal roots and the Lee–Yang theorem

P.f Arndt, S.r Dahmen and H Hinrichsen

Physica A: Statistical Mechanics and its Applications, 2001, vol. 295, issue 1, 128-131

Abstract: In the directed percolation model we consider the probability p of having an open bond as a complex parameter. We show that the roots of the survival probability PN(p) for a square lattice of N rows distribute themselves in a fractal manner in the complex p-plane. These roots have an accumulation point on the real axis which coincides with the critical probability pc=0.6447.

Keywords: Phase transitions; Percolation model; Complex Analysis (search for similar items in EconPapers)
Date: 2001
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:295:y:2001:i:1:p:128-131

DOI: 10.1016/S0378-4371(01)00064-4

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