Julia sets and Yang-Lee zeros of the Potts model on bethe lattices

作者: Ruben Ghulghazaryan , Nerses Ananikyan , Tore M. Jonassen

DOI: 10.1007/3-540-44860-8_9

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摘要: Box counting fractal dimensions of Julia sets the Q-state ferromagnetic Potts model on Bethe lattices are studied. It is shown that circles centered at origin for values magnetics field corresponding to Yang-Lee zeros partition function. Also, magnetic from Mandelbrot-like set complex plane simply connected closed Jordan curves and outsides a Cantor set. Moreover, it dimension value zero function alocal minimum as field.

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