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

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

Content
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Languages of publication
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
Year
Volume
121
Issue
5-6
Pages
1105-1107
Physical description
Dates
published
2012-05
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
YADDA identifier
bwmeta1.element.bwnjournal-article-appv121n5-6p34kz
Identifiers
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