scholarly journals Splitting the voter Potts model critical point

2003 ◽  
Vol 67 (5) ◽  
Author(s):  
Michel Droz ◽  
Antonio L. Ferreira ◽  
Adam Lipowski
Keyword(s):  
Critical Point ◽  
Potts Model

Pseudo-Hamiltonians for the Potts model at the critical point

1972 ◽  
Vol 41 (4) ◽  
pp. 357-358 ◽  
Author(s):  
M.J. Stephen ◽  
L. Mittag
Keyword(s):  
Critical Point ◽  
Potts Model

CRITICAL POINT OF THE KAGOME POTTS MODEL: A HISTOGRAM MONTE CARLO RENORMALIZATION GROUP DETERMINATION

1994 ◽  
Vol 08 (07) ◽  
pp. 455-459 ◽  
Author(s):  
CHIN-KUN HU ◽  
JAU-ANN CHEN ◽  
F. Y. WU
Keyword(s):  
Monte Carlo ◽  
Renormalization Group ◽  
Critical Point ◽  
Potts Model ◽  
Group Method ◽  
Renormalization Group Method ◽  
Kagome Lattice ◽  
Kagomé Lattice ◽  
Monte Carlo Renormalization Group

The histogram Monte Carlo renormalization group method proposed by Hu is used to determine the critical point of the q-state Potts model on the Kagome lattice. Our results are compared with the predictions of conjectures by Wu and Tsallis.

Star-Star Relation for the Potts Model

1997 ◽  
Vol 11 (01n02) ◽  
pp. 51-56 ◽  
Author(s):  
C. King ◽  
F. Y. Wu
Keyword(s):  
Critical Point ◽  
Potts Model ◽  
Unsolved Problem ◽  
Kagome Lattice ◽  
Dual Transformation ◽  
Kagomé Lattice ◽  
Special Limit ◽  
Transformation Relation

A star-star transformation is introduced for the Potts model as a generalization of the Onsager star-triangle relation. By considering a special limit of the star-star relation, we deduce a dual transformation relation for the Potts model on the 3-12 lattice. We also obtain numerical bounds on the critical point of the Potts model on the kagomé lattice, a long unsolved problem.

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