Abstract
Within a mean-field approach and using the Glauber-type stochastic dynamics, we study the kinetics of the spin-2 Blume-Capel model in the presence of a time-varying (sinusoidal) magnetic field. We investigate the time dependence of the average order parameter and the behavior of the average order parameter in a period, which is also called the dynamic order parameter, as a function of the reduced temperature. The nature (continuous and discontinuous) of the transition is characterized by the dynamic order parameter. The dynamic phase transition points are obtained and the phase diagrams are presented in the reduced magnetic field amplitude and reduced temperature plane. The phase diagrams exhibit one dynamic tricritical point; besides a disordered and an ordered phases, there are three phase coexistence regions that are strongly dependent on the interaction parameter.
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References
T. Obokata and T. Oguchi, J. Phys. Soc. Jpn. 25, 322 (1968).
D. K. Ray and J. Sivardiére, Phys. Rev. B 18, 1401 (1978).
J. W. Tucker, J. Magn. Magn. Mater. 71, 27 (1987).
A. Lipowski and M. Suzuki, Physica A (Amsterdam) 193, 360 (1993).
M. Kolesik and L. Šamaj, Int. J. Mod. Phys. B 6, 1529 (1992).
J. A. Plascak, J. G. Moreira, and F. C. Sá Berreto, Phys. Lett. A 173, 360 (1993).
M. N. Tamashiro and S. R. A. Salinas, Physica A (Amsterdam) 211, 124 (1994).
M. Jurčišin, A. Bobák, and M. Jaščur, Physica A (Amsterdam) 224, 684 (1996).
T. Iwashita, R. Satou, T. Imada, and T. Idogaki, Physica B (Amsterdam) 284–288, 1203 (2000).
T. Kaneyoshi, M. Jaščur, and I. P. Fittipaldi, Phys. Rev. B 48, 250 (1993).
A. Elkouraychi, M. Saber, and J. W. Tucker, Physica A (Amsterdam) 271, 576 (1995).
M. Saber and J. W. Tucker, Physica A (Amsterdam) 217, 407 (1995).
H. El Mir, M. Saber, and J. W. Tucker, J. Magn. Magn. Mater. 138, 76 (1994).
W. Jiang, G.-Z. Wie, and Z.-H. Xin, Phys. Status Solidi B 225, 215 (2001).
W. Jiang, G.-Z. Wie, D. An, and Z. Qi, Chin. Phys. 11, 832 (2002).
Y.-Q. Liang, G.-Z. Wei, Q. Zang, and G.-I. Song, Chin. Phys. Lett. 21, 378 (2002).
Y.-Q. Liang, G.-Z. Wei, L.-L. Song, and S.-L. Zang, Commun. Theor. Phys. 42, 623 (2004).
O. Canko, E. Albayrak, and M. Keskin, J. Magn. Magn. Mater. 294, 63 (2005).
O. Canko and E. Albayrak, Phys. Lett. A 340, 18 (2005).
M. A. Ahrens, A. Schadschneider, and J. Zittartz, Europhys. Lett. 59, 889 (2002).
A. Erdinç, O. Canko, and E. Albayrak, Eur. Phys. J. B 52, 521 (2006).
M. Dudzinski, G. Fath, and J. Sznajd, Phys. Rev. B 59, 13764 (1999).
G. Sun, Phys. Rev. B 51, 8370 (1995).
H. Niggemann, A. Klümper, and J. Zittartz, Eur. Phys. J. B 13, 15 (2000).
M. A. Ahrens, A. Schadschneider, and J. Zittartz, Phys. Rev. B 71, 174432 (2005).
R. J. Glauber, J. Math. Phys. 4, 294 (1963).
T. Tomé and M. J. de Oliveira, Phys. Rev. A 41, 4251 (1990).
G. M. Buendía and E. Machado, Phys. Rev. E 58, 1260 (1998).
M. Keskin, O. Canko, and Ü. Temizer, Phys. Rev. E 72, 036125 (2005); M. Keskin, O. Canko, and E. Kantar, Int. J. Mod. Phys. C 17, 1239 (2006); O. Canko, Ü. Temizer, and M. Keskin, Int. J. Mod. Phys. C 17, 1717 (2006); M. Keskin, O. Canko, and Ü. Temizer, Zh. Éksp. Teor. Fiz. 131, 1073 (2007) [JETP 104, 936 (2007)]; M. Keskin, Ü. Temizer, O. Canko, and E. Kantar, Phase Transit. 80, 855 (2007).
M. Keskin, O. Canko, and B. Deviren, Phys. Rev. E 74, 011110 (2006); O. Canko, B. Deviren, and M. Keskin, J. Phys.: Condens. Matter 18, 6635 (2006); M. Keskin, O. Canko, and B. Deviren, J. Magn. Magn. Mater. 313, L1 (2006); M. Keskin, O. Canko, and M. Kirak, J. Stat. Phys. 127, 359 (2007).
M. Acharyya, Phys. Rev. E 56, 2407 (1997); A. Chatterjee and B. K. Chakrabarti, Phys. Rev. E 67, 046113 (2003).
S. W. Sides, P. A. Rikvold, and M. A. Novotny, Phys. Rev. Lett. 81, 834 (1998); Phys. Rev. E 59, 2710 (1999); G. Korniss, C. J. White, P. A. Rikvold, and M. A. Novotny, Phys. Rev. E 63, 016120 (2001); G. Korniss, P. A. Rikvold, and M. A. Novotny, Phys. Rev. E 66, 056127 (2002).
B. K. Chakrabarti and M. Acharyya, Rev. Mod. Phys. 71, 847 (1999); M. Acharyya, Int. J. Mod. Phys. C 16, 1631 (2005).
M. F. Zimmer, Phys. Rev. E 47, 3950 (1993); M. Acharyya and B. K. Chakrabarti, Phys. Rev. B 52, 6550 (1995); M. Acharyya, Phys. Rev. E 58, 179 (1998).
H. Fujisaka, H. Tutu, and P. A. Rikvold, Phys. Rev. E 63, 036109, 059903 (2001); H. Tutu and N. Fujiwara, J. Phys. Soc. Jpn. 73, 2680 (2004); E. Z. Meĭlikov, Pis’ma Zh. Éksp. Teor. Fiz. 79, 757 (2004) [JETP Lett. 79, 620 (2004)].
Q. Jiang, H. N. Yang, and G. C. Wang, Phys. Rev. B 52, 14911 (1995); W. Kleemann, T. Braun, J. Dec, and O. Petracic, Phase Transit. 78, 811 (2005); D. T. Robb, Y. H. Xu, O. Hellwing, et al., in Proceedings of Meeting of the American Physical Society (Baltimore, USA, 2006); D. T. Robb, Y. H. Xu, O. Hellwing, et al., submitted to Phys. Rev. B.
Z. A. Samoilenko, V. D. Okunev, E. I. Pushenko, et al., Inorg. Mater. 39, 836 (2003).
M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
A. S. Mikhailov and G. Ertl, Science 272, 1596 (1996).
Phase Transformations and Systems Driven Far from Equilibrium, Ed. by E. Ma, P. Bellon, M. Atzmon, and R. Tivedi (MRS, Pittsburgh, Pa, 1998), Mater. Res. Soc. Symp. Proc., Vol. 481.
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Keskin, M., Canko, O. & Ertaş, M. Kinetics of the spin-2 Blume-Capel model under a time-dependent oscillating external field. J. Exp. Theor. Phys. 105, 1190–1197 (2007). https://doi.org/10.1134/S1063776107120102
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DOI: https://doi.org/10.1134/S1063776107120102