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

• Authors: D. Jeziorek-Knioła , G. Musiał , Z. Wojtkowiak
• Languages of publication: 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

75.10.Hk; 75.30.Kz; 75.40.Mg

Discipline

• 75.40.Mg: Numerical simulation studies
• 75.10.Hk: Classical spin models
• 75.30.Kz: Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.)(for ferroelectric phase transitions, see 77.80.B-; for superconductivity phase diagrams, see 74.25.Dw)

• Publisher: Institute of Physics, Polish Academy of Sciences
• Journal: Acta Physica Polonica A
• Year: 2015
• Volume: 127
• Issue: 2
• Pages: 327-329

Dates

published

2015-02

Contributors

author

D. Jeziorek-Knioła

• Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

author

G. Musiał

• Faculty of Physics, A. Mickiewicz University, Umultowska 85, 61-614 Poznań, Poland

author

Z. Wojtkowiak

• 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

Identifiers

DOI

10.12693/APhysPolA.127.327