Occurrence of Kosterlitz-Thouless-Like Phase Transition in Antiferromagnetic Potts Models

1984 ◽  
Vol 53 (12) ◽  
pp. 4102-4105 ◽  
Author(s):  
Ikuo Ono
Keyword(s):  
Phase Transition ◽  
Potts Models

scholarly journals Phase transition in continuum Potts models

1996 ◽  
Vol 181 (2) ◽  
pp. 507-528 ◽  
Author(s):  
H. -O. Georgii ◽  
O. Häggström
Keyword(s):  
Phase Transition ◽  
Potts Models

scholarly journals Phase transition properties of 3D Potts models

2008 ◽  
Vol 802 (3) ◽  
pp. 421-434 ◽  
Author(s):  
Alexei Bazavov ◽  
Bernd A. Berg ◽  
Santosh Dubey
Keyword(s):  
Phase Transition ◽  
Potts Models

scholarly journals Entropy-Driven Phase Transition in Low-Temperature Antiferromagnetic Potts Models

2014 ◽  
Vol 330 (3) ◽  
pp. 1339-1394 ◽  
Author(s):  
Roman Kotecký ◽  
Alan D. Sokal ◽  
Jan M. Swart
Keyword(s):  
Phase Transition ◽  
Low Temperature ◽  
Potts Models

scholarly journals Zipf's law and phase transition

2014 ◽  
Vol 28 (11) ◽  
pp. 1450088 ◽  
Author(s):  
K. Lukierska-Walasek ◽  
K. Topolski
Keyword(s):  
Phase Transition ◽  
Zipf’S Law ◽  
Statistical Distributions ◽  
Zipf's Law ◽  
Potts Models ◽  
Fixed Domain ◽  
Zipf Law

In this paper, we describe the link between the Zipf law and statistical distributions for the Fortuin–Kasteleyn clusters in Ising as well as Potts models. From these results, it is seen that Zipf's law can be a criterion of a phase transition, but it does not determine its order. We present the corresponding histograms for fixed domain configurations.

IMPORTANCE-SAMPLING MONTE CARLO METHOD AND ENTROPY OF q-STATE POTTS MODEL

1992 ◽  
Vol 06 (18) ◽  
pp. 1121-1129
Author(s):  
HSING-MEI HUANG
Keyword(s):  
Phase Transition ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Importance Sampling ◽  
Potts Model ◽  
Continuous Phase ◽  
Entropy Function ◽  
Two Dimensional ◽  
Potts Models ◽  
Continuous Phase Transition

An importance-sampling Monte Carlo method is applied to the calculation of Γ(E), the number of states for a given energy E, and Γ(E, S), the number of states for given energy E and spin S, of antiferromagnetic two-dimensional q=2,3,4,5,6 Potts models. The entropy function is derived for various temperatures, and our results for the q=3 model show a continuous phase transition.

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