72 research outputs found
Zeros of the Potts Model Partition Function on Sierpinski Graphs
We calculate zeros of the -state Potts model partition function on
'th-iterate Sierpinski graphs, , in the variable and in a
temperature-like variable, . We infer some asymptotic properties of the loci
of zeros in the limit and relate these to thermodynamic
properties of the -state Potts ferromagnet and antiferromagnet on the
Sierpinski gasket fractal, .Comment: 6 pages, 8 figure
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