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Monte Carlo analysis of the extended Ashkin-Teller model

Author

Listed:
  • Pawlicki, P.
  • Kamieniarz, G.
  • Dȩbski, L.

Abstract

Monte Carlo simulations are used to analyse the behavior of the extended Ashkin-Teller model in two dimensions from the ratio of the square of the second moment of the order parameter to its fourth moment. The critical surface in three dimensional parameter space is calculated in regions where the Ising transitions are expected. The continuity of the order parameter at the critical surface is verified by a finite size scaling analysis for both ferromagnetic and antiferromagnetic parts of the phase diagram.

Suggested Citation

  • Pawlicki, P. & Kamieniarz, G. & Dȩbski, L., 1997. "Monte Carlo analysis of the extended Ashkin-Teller model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 290-298.
    • Handle: RePEc:eee:phsmap:v:242:y:1997:i:1:p:290-298
    DOI: 10.1016/S0378-4371(97)00124-6
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    References listed on IDEAS

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    1. Binder, K., 1986. "Decay of metastable and unstable states: Mechanisms, concepts and open problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 35-43.
    2. Pawlicki, P. & Rogiers, J., 1995. "Phase diagram of a modified Ashkin-Teller model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 214(2), pages 277-286.
    3. Blöte, H.W.J. & Kamieniarz, G., 1993. "Finite-size calculations on the three-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(3), pages 455-460.
    4. Pawlicki, P. & Musial, G. & Kamieniarz, G. & Rogiers, J., 1997. "Mean field renormalization group study of a modified Ashkin-Teller model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 281-289.
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