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Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field

Cilt: 3 Sayı: 1 29 Mayıs 2025
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Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field

Öz

The dynamic phase transition (DPT) temperatures and the dynamic phase diagrams are obtained for spin-1/2 Ising system under the presence of a time-dependent oscillating external magnetic field using the method that was purposed by Meijer and Edwards [ANNALS of PHYSICS, 54, 240 (1969)] within the framework of the Bethe or constant coupling theory. The time variation of magnetization is investigated to find the phases in the system. Thermal behavior of the average magnetization is studied to characterize the nature (continuous and discontinuous) of transitions and to obtain the dynamic phase transition temperatures. The DPT temperatures are found always a second-order; hence there can be no tricritical point separating lines of first- and second-order dynamic phase transitions. This result agrees with the dynamic Monte-Carlo (MC) simulations of a two-dimensional kinetic spin-1/2 Ising model in an oscillating external magnetic field.

Anahtar Kelimeler

Bethe Approximation, Dynamic phase transitions, Dynamic Phase Diagrams

Kaynakça

  1. Acharyya, M. (1999). Nonequilibrium phase transition in the kinetic Ising model: Existence of a tricritical point and stochastic resonance, Phys. Rev. E, 59, 218. Doi: 10.1103/PhysRevE.59.218.
  2. Acharyya, M., & Chakrabarti, B.K. (1995). Response of Ising systems to oscillating and pulsed fields: Hysteresis, ac, and pulse susceptibility, Phys. Rev. B, 52, 6550. Doi: 10.1103/PhysRevB.52.6550.
  3. Chakrabarti, B.K., & Acharyya, M. (1999). Dynamic transitions and hysteresis, Rev. Mod. Phys., 71, 847. Doi: 10.1103/RevModPhys.71.847.
  4. Fujiwara, N., Kobayashi, T., & Fujisaka, H. (2007). Dynamic phase transition in a rotating external field, Phys. Rev. E 75, 026202., Doi: 10.1103/PhysRevE.75.026202.
  5. Gedik, N., Yang, D.S., Logvenov, G., Bozovic, I & Zewail, A.H. (2007). Nonequilibrium phase transitions in cuprates observed by ultrafast electron crystallography, Science, 316 (5823), 425-429. Doi: 10.1126/science.1138834.
  6. Glauber, R.J. (1963). Time-dependent statistics of the Ising model, J. Math. Phys., 4, 294-307, Doi: 10.1063/1.1703954.
  7. Jang, H., Azhari, M., & Yu, U. (2024). Monte Carlo study for the thermodynamic and dynamic phase transitions in the spin-S Ising model on Sierpiński carpet, Journal of Stat. Mech., vol. 2024, pp. 013201, January 2024, doi: 10.1088/1742-5468/ad0a91.
  8. Jiang, F.L., Shi, X.L., & Liu, P.S. (2023). Dynamic magnetic properties and phase diagrams of Fe4N system, Int. J. Mod. Phys. B, 37 (17), 2350166., Doi: 10.1142/S0217979223501667.
  9. Jiang, Q., Yang, H.N., & Wang, G.C. (1995). Scaling and dynamics of low- frequency hysteresis loops in ultrathin Co films on a Cu (001) surface, Phys. Rev. B 52, 14911., Doi: 10.1103/PhysRevB.52.14911.
  10. Kantar, E. (2017). Dynamic magnetic behaviors in the Ising-type nanowire with core-shell single-ion anisotropies under a time-dependent oscillating external magnetic field, Chin. J. Phys., 55(5), 1808-1820., Doi: 10.1016/j.cjph.2017.06.013.

Kaynak Göster

APA
Temizer, Ü. (2025). Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field. Bozok Journal of Science, 3(1), 34-41. https://doi.org/10.70500/bjs.1681654
AMA
1.Temizer Ü. Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field. BJS. 2025;3(1):34-41. doi:10.70500/bjs.1681654
Chicago
Temizer, Ümüt. 2025. “Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field”. Bozok Journal of Science 3 (1): 34-41. https://doi.org/10.70500/bjs.1681654.
EndNote
Temizer Ü (01 Mayıs 2025) Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field. Bozok Journal of Science 3 1 34–41.
IEEE
[1]Ü. Temizer, “Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field”, BJS, c. 3, sy 1, ss. 34–41, May. 2025, doi: 10.70500/bjs.1681654.
ISNAD
Temizer, Ümüt. “Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field”. Bozok Journal of Science 3/1 (01 Mayıs 2025): 34-41. https://doi.org/10.70500/bjs.1681654.
JAMA
1.Temizer Ü. Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field. BJS. 2025;3:34–41.
MLA
Temizer, Ümüt. “Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field”. Bozok Journal of Science, c. 3, sy 1, Mayıs 2025, ss. 34-41, doi:10.70500/bjs.1681654.
Vancouver
1.Ümüt Temizer. Dynamic behavior of the spin-1/2 Ising Model in an oscillating external magnetic field. BJS. 01 Mayıs 2025;3(1):34-41. doi:10.70500/bjs.1681654