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Directed percolation, fractal roots and the Lee–Yang theorem

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.
Year of publication:
2001
Authors: Arndt, P.F ; Dahmen, S.R ; Hinrichsen, H
Published in:
Physica A: Statistical Mechanics and its Applications. - Elsevier, ISSN 0378-4371. - Vol. 295.2001, 1, p. 128-131
Publisher: Elsevier
Subject: Phase transitions | Percolation model | Complex Analysis
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Type of publication: Article
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Persistent link: https://www.econbiz.de/10010872863
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