Zeros of the Potts model partition function on Sierpinski graphs

Shu Chiuan Chang; Robert Shrock

doi:10.1016/j.physleta.2013.01.017

Zeros of the Potts model partition function on Sierpinski graphs

Shu Chiuan Chang
, Robert Shrock

物理學系

研究成果: Article › 同行評審

13 引文斯高帕斯（Scopus）

摘要

We calculate zeros of the q-state Potts model partition function on mth-iterate Sierpinski graphs, ^Sm, in the variable q and in a temperature-like variable, y. We infer some conjectured asymptotic properties of the loci of zeros in the limit m→infin and relate these to thermodynamic properties of the q-state Potts ferromagnet and antiferromagnet on the Sierpinski gasket fractal, ^Sinfin.

原文	English
頁（從 - 到）	671-675
頁數	5
期刊	Physics Letters, Section A: General, Atomic and Solid State Physics
卷	377
發行號	9
DOIs	https://doi.org/10.1016/j.physleta.2013.01.017
出版狀態	Published - 2013 3月 15

All Science Journal Classification (ASJC) codes

一般物理與天文學

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10.1016/j.physleta.2013.01.017

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AB - We calculate zeros of the q-state Potts model partition function on mth-iterate Sierpinski graphs, Sm, in the variable q and in a temperature-like variable, y. We infer some conjectured asymptotic properties of the loci of zeros in the limit m→infin and relate these to thermodynamic properties of the q-state Potts ferromagnet and antiferromagnet on the Sierpinski gasket fractal, Sinfin.

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Zeros of the Potts model partition function on Sierpinski graphs

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