scholarly journals Three-state anti-ferromagnetic Potts model in three dimensions: universality and critical amplitudes

1994 ◽  
Vol 210 (1-2) ◽  
pp. 217-236 ◽  
Author(s):  
Aloysius P. Gottlob ◽  
Martin Hasenbusch
Keyword(s):  
Potts Model ◽  
Three Dimensions ◽  
Critical Amplitudes

scholarly journals Disorder-driven phase transitions of the large q -state Potts model in three dimensions

2005 ◽  
Vol 70 (6) ◽  
pp. 733-739 ◽  
Author(s):  
M. T Mercaldo ◽  
J.-Ch. Anglès d'Auriac ◽  
F Iglói
Keyword(s):  
Phase Transitions ◽  
Potts Model ◽  
Three Dimensions

The random-field Potts model in three dimensions

1986 ◽  
Vol 265 (1) ◽  
pp. 1-23 ◽  
Author(s):  
Yadin Y. Goldschmidt ◽  
Gu Xu
Keyword(s):  
Random Field ◽  
Potts Model ◽  
Three Dimensions

Phase diagrams of the random-field Potts model in three dimensions

1985 ◽  
Vol 32 (3) ◽  
pp. 1876-1879 ◽  
Author(s):  
Yadin Y. Goldschmidt ◽  
Gu Xu
Keyword(s):  
Random Field ◽  
Phase Diagrams ◽  
Potts Model ◽  
Three Dimensions

FINITE TEMPERATURE ENTROPY OF THE ANTIFERROMAGNETIC POTTS MODEL

1988 ◽  
Vol 02 (06) ◽  
pp. 1495-1501 ◽  
Author(s):  
X. Y. CHEN ◽  
C. Y. PAN
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Potts Model ◽  
Finite Temperature ◽  
Three Dimensions ◽  
Universal Relation ◽  
Zero Temperature ◽  
Disorder Transition ◽  
Color Problem ◽  
Antiferromagnetic Potts Model

Monte Carlo simulation is used to deal with the finite temperature entropy of the q-state antiferromagnetic Potts model which is the extension of the general q-color problem (at zero temperature). The finite temperature entropy of the model in two and three dimensions is obtained which is consistent with the zero temperature results. A possible universal relation of the model to determine when the order-disorder transition happens is proposed.

The spin XY model. V. Moments of the spin–spin correlations in three dimensions

1980 ◽  
Vol 58 (11) ◽  
pp. 1651-1657 ◽  
Author(s):  
D. D. Betts ◽  
E. W. Grundke
Keyword(s):  
High Temperature ◽  
Three Dimensions ◽  
Transverse Spin ◽  
Xy Model ◽  
Spin Correlations ◽  
Cubic Lattices ◽  
Simple Cubic ◽  
Text Model ◽  
Critical Amplitudes

Ninth degree high temperature expansions have been obtained for all transverse spin–spin correlations of the [Formula: see text] model on the simple cubic and body centred cubic lattices. Analysis of the series for the second and fourth moments of the correlations yields the estimate of v = 0.689 ± 0.010 and estimates of critical amplitudes. No evidence for violation of hyperscaling is found.

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