Heriot-Watt Mathematics Report Series
HWM00-24, 19 Oct 2000
1D Potts, Yang-Lee Edges and Chaos
B. P. Dolan and D. Johnston
Abstract
The renormalization group equation for a 1D Potts model
in field can be cast in the form of a logistic map f(x) = 4 x ( 1 -x)
with x a function of the Potts couplings K and h. Remarkably, the
"boundary of chaos" for x, i.e. x=0, is precisely the line defining
the Yang-Lee edge singularity in the K, h plane in the Potts model.
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