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

Institute for Theoretical Physics

National Cheng Kung University

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	671-675
Number of pages	5
Journal	Physics Letters A
Volume	377
Issue number	9
DOIs	https://doi.org/10.1016/j.physleta.2013.01.017
State	Published - Mar 15 2013

Keywords

Chromatic and Fisher zeros
Fractals
Potts model
Sierpinski graphs

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10.1016/j.physleta.2013.01.017

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abstract = "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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AU - Shrock, Robert

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N2 - 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.

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.

KW - Chromatic and Fisher zeros

KW - Fractals

KW - Potts model

KW - Sierpinski graphs

UR - https://www.scopus.com/pages/publications/84873117248

U2 - 10.1016/j.physleta.2013.01.017

DO - 10.1016/j.physleta.2013.01.017

M3 - Article

AN - SCOPUS:84873117248

SN - 0375-9601

VL - 377

SP - 671

EP - 675

JO - Physics Letters A

JF - Physics Letters A

IS - 9

ER -

Zeros of the Potts model partition function on Sierpinski graphs

Abstract

Keywords

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