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Number of results
2015 | 127 | 2 | 327-329
Article title

Arbitrarily Weak First Order Phase Transitions in the 3D Standard Ashkin-Teller Model by MC Computer Experiments

Content
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EN
Abstracts
EN
The first order phase transition line in the vicinity of the tricritical Ising point region is studied in the 3D standard Ashkin-Teller model on a cubic lattice. The large-scale Monte Carlo computer experiments using the Binder- and Challa-like cumulants, the latter modified by Musial, are proposed and performed. Specific behavior of the Challa-Musial cumulants for weak first order phase transitions is discovered and its interpretation is proposed. The paper proves the arbitrarily weak first order character of phase transitions when approaching to the Ising point.
Keywords
EN
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
References
  • [1] J. Ashkin, E. Teller, Phys. Rev. 64, 178 (1943), doi: 10.1103/PhysRev.64.178
  • [2] C. Fan, Phys. Lett. 39A, 136 (1972), doi: 10.1016/0375-9601(72)91051-1
  • [3] P. Arnold, Y. Zhang, Nucl. Phys. B 501, 803 (1997)
  • [4] G. Musiał, Phys. Rev. B 69, 024407 (2004), doi: 10.1103/PhysRevB.69.024407
  • [5] G. Szukowski, G. Kamieniarz, G. Musiał, Phys. Rev. E 77, 031124 (2008), doi: 10.1103/PhysRevE.77.031124
  • [6] D. Jeziorek-Knioła, G. Musiał, L. Dębski, J. Rogiers, S. Dylak, Acta Phys. Pol. A 121, 1105 (2012) http://przyrbwn.icm.edu.pl/APP/PDF/121/a121z5p34.pdf
  • [7] G. Musiał, L. Dębski, G. Kamieniarz, Phys. Rev. B 66, 012407 (2002), doi: 10.1103/PhysRevB.66.012407
  • [8] M.S.S. Challa, D.P. Landau, K. Binder, Phys. Rev. B 34, 1841 (1986), doi: 10.1103/PhysRevB.34.1841
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv127n2052kz
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