Fisher zeros and critical behavior for the Ising model on Sierpinski gasket
Abstract
In this paper, we provide a proof of the explicit formula for the partition function of the Ising model on the Sierpinski gasket. Additionally, we demonstrate the dynamic behavior of the zero distribution of the partition function when a sequence of appropriate regions is selected. Through this analysis, it is shown that the density of zeros around temperature 0 exponentially diminishes at a rate of 13n, and the pressure function approaches the logarithmic function.
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