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Zeros of the Potts Model Partition Function on Sierpinski Graphs

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 نشر من قبل Shu-Chiuan Chang
 تاريخ النشر 2012
  مجال البحث فيزياء
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We calculate zeros of the $q$-state Potts model partition function on $m$th-iterate Sierpinski graphs, $S_m$, in the variable $q$ and in a temperature-like variable, $y$. We infer some asymptotic properties of the loci of zeros in the limit $m to infty$ and relate these to thermodynamic properties of the $q$-state Potts ferromagnet and antiferromagnet on the Sierpinski gasket fractal, $S_infty$.



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