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Improved Phase Diagrams of Ashkin-Teller Model

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Pawlicki P., Kamieniarz G., Kozlowski P., Dekeyser R., Rogiers J.

Acta Physica Polonica A

1997

vol. 92

issue 2

453-458

The phase diagram of the Askhin-Teller model in two dimensions is determined. Numerical calculations are performed for the simple square L × L lattice using transfer matrix technique. Exploiting finite-size scaling all unknown critical lines were obtained with good accuracy. An extended version of the Ashkin-Teller model is also considered within the molecular field renormalization group method and the critical surface for three-parameter odd-parity Hamiltonian is calculated.

On Non-Ising Phase Transitions in the 3D Standard Ashkin-Teller Model

100%

Jeziorek-Knioła D., Musiał G., Dębski L., Rogiers J., Dylak S.

Acta Physica Polonica A

2012

vol. 121

issue 5-6

1105-1107

The phase transition line near the Ising point region is studied for the 3D standard Ashkin-Teller model on a cubic lattice. This model with a multicomponent order parameter is one of the important reference points in statistical physics since it shows an interesting and complicated phase diagram. The main motivation for our study was nonuniversal behavior suggested for this line. The large-scale Monte Carlo simulations using the Binder and Challa like cumulants are performed. Accurate analysis to exclude the latent heat inherence is applied. Specific behavior of the Challa like cumulants is discovered and its interpretation is proposed. The paper is closed with preliminary conclusions concerning the continuous but non-Ising character of these phase transitions in the lower part of the mixed phase region and the possiblity of the first order on the line connecting it to the Ising point.

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2 Acta Physica Polonica A

1 2012

1 1997

2 Rogiers J.

1 Dekeyser R.

1 Dylak S.

1 Dębski L.

1 Jeziorek-Knioła D.

1 Kamieniarz G.

1 Kozlowski P.

1 Musiał G.

1 Pawlicki P.

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Improved Phase Diagrams of Ashkin-Teller Model

On Non-Ising Phase Transitions in the 3D Standard Ashkin-Teller Model