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2012 | 121 | 5-6 | 1105-1107
Article title

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

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EN
Abstracts
EN
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.
Keywords
Contributors
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
  • Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland
author
  • Instituut voor Theoretische Fysica, Katholieke Universiteit Leuven, Celestijnenlaan 200D, 3001 Leuven, Belgium
author
  • Faculty of Educational Studies, A. Mickiewicz University, Szamarzewskiego 89, 60-568 Poznań, Poland
References
  • 1. J. Ashkin, E. Teller, Phys. Rev. 64, 178 (1943)
  • 2. C. Fan, Phys. Lett. 39A, 136 (1972)
  • 3. G. Musiał, J. Rogiers, Phys. Status Solidi B 243, 335 (2006)
  • 4. G. Szukowski, G. Kamieniarz, G. Musiał, Phys. Rev. E 77, 031124 (2008)
  • 5. G. Musiał, Phys. Rev. B 69, 024407 (2004)
  • 6. P. Arnold, Y. Zhang, Nucl. Phys. B 501, 803 (1997)
  • 7. M.S.S. Challa, D.P. Landau, K. Binder, Phys. Rev. B 34, 1841 (1986)
  • 8. G. Musiał, L. Dębski, G. Kamieniarz, Phys. Rev. B 66, 012407 (2002)
  • 9. G. Musiał, Phys. Status Solidi B 236, 486 (2003)
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n5-6p34kz
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