IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v242y1997i1p290-298.html
   My bibliography  Save this article

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
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0378437197001246
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/S0378-4371(97)00124-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. 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.
    2. 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.
    3. 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.
    4. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Yamagata, Atsushi, 1994. "Finite-size effects in the quasi-two-dimensional Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 205(4), pages 665-676.
    2. Çelik, T. & Gündüç, Y. & Aydin, M., 1997. "Two-dimensional seven-state Potts model under external magnetic field," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 238(1), pages 353-360.
    3. 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.
    4. Ross Macdonald, J. & Ausloos, M., 1997. "Analysis of TbZn resistivity temperature derivative above the Curie point using singular fitting equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 242(1), pages 150-160.
    5. Reiter, Johannes, 1993. "Phase transitions in systems of lattice-dimers with nearest neighbor interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 196(2), pages 149-172.
    6. Yamagata, Atsushi, 1995. "Critical phenomena of the hard-sphere lattice gas on the simple cubic lattice," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 222(1), pages 119-124.
    7. Velasco, S. & White, J.A. & Güémez, J., 1996. "Spontaneous magnetization probability distribution of a mean-field finite Ising model exhibiting a tricritical point," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(1), pages 141-157.
    8. Aydin, Meral & Gündüç, Yiğit & Çelik, Tarik, 1996. "Study of cluster fluctuations in the two-dimensional q-state Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 230(3), pages 651-657.
    9. Heringa, J.R. & Blöte, H.W.J., 1996. "The simple-cubic lattice gas with nearest-neighbour exclusion: Ising universality," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 369-374.
    10. Benyoussef, A. & Ez-Zahraouy, H., 1994. "Layering transitions in Ising model thin films. A real space renormalization group analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 206(1), pages 196-206.
    11. Gündüç, Y. & Aydin, M., 1996. "Dynamics of clusters in the two-dimensional Potts model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 265-272.
    12. Nielaba, P. & Heermann, Dieter W., 1991. "Dynamical block analysis in a non-equilibrium system," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 170(3), pages 471-487.
    13. Privman, Vladimir, 1991. "Finite-size scaling: new results," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 241-246.

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:242:y:1997:i:1:p:290-298. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.