Kinetic Ising model in a time-dependent oscillating external magnetic field: effective-field theory

doi:10.1088/1674-1056/19/5/050518

中国物理B ›› 2010, Vol. 19 ›› Issue (5): 50518-050518.doi: 10.1088/1674-1056/19/5/050518

Kinetic Ising model in a time-dependent oscillating external magnetic field: effective-field theory

OsmanCanko¹, MustafaKeskin¹, BayramDeviren²

(1)Department of Physics, Erciyes University, 38039 Kayseri, Turkey; (2)Institute of Science, Erciyes University, 38039 Kayseri, Turkey;Department of Physics, Nevsehir University, 50300 Nevsehir, Turkey

收稿日期:2009-09-01 修回日期:2009-09-04 出版日期:2010-05-15 发布日期:2010-05-15
基金资助:
Project supported by the Scientific and Technological Research Council of Turkey (T\"{U}B\.{I}TAK) (Grant No.~107T533) and the Erciyes University Research Funds (Grant Nos.~FBA-06-01 and FBD-08-593).

Kinetic Ising model in a time-dependent oscillating external magnetic field: effective-field theory

Bayram Deviren^a)b), Osman Canko^c), and Mustafa Keskin^c)^†

^a Institute of Science, Erciyes University, 38039 Kayseri, Turkey; ^b Department of Physics, Nevsehir University, 50300 Nevsehir, Turkey; ^cDepartment of Physics, Erciyes University, 38039 Kayseri, Turkey

Received:2009-09-01 Revised:2009-09-04 Online:2010-05-15 Published:2010-05-15
Supported by:
Project supported by the Scientific and Technological Research Council of Turkey (T\"{U}B\.{I}TAK) (Grant No.~107T533) and the Erciyes University Research Funds (Grant Nos.~FBA-06-01 and FBD-08-593).

摘要/Abstract

摘要： Recently, Shi {\it et al.} [2008 {\it Phys. Lett.} A {\bf372} 5922] have studied the dynamical response of the kinetic Ising model in the presence of a sinusoidal oscillating field and presented the dynamic phase diagrams by using an effective-field theory (EFT) and a mean-field theory (MFT). The MFT results are in conflict with those of earlier work of Tom\'{e} and de Oliveira, [1990 {\it Phys. Rev.} A {\bf41} 4251]. We calculate the dynamic phase diagrams and find that our results are similar to those of earlier work of Tom\'{e} and de Oliveira; hence the dynamic phase diagrams calculated by Shi {\it et al.} are incomplete within both theories, except the low values of frequencies for the MFT calculation. We also investigate the influence of external field frequency ($\omega$) and static external field amplitude ($h_{0})$ for both MFT and EFT calculations. We find that the behaviour of the system strongly depends on values of $\omega$ and $h_{0}$.

Abstract: Recently, Shi et al. [2008 Phys. Lett. A 372 5922] have studied the dynamical response of the kinetic Ising model in the presence of a sinusoidal oscillating field and presented the dynamic phase diagrams by using an effective-field theory (EFT) and a mean-field theory (MFT). The MFT results are in conflict with those of earlier work of Tomé and de Oliveira, [1990 Phys. Rev. A 41 4251]. We calculate the dynamic phase diagrams and find that our results are similar to those of earlier work of Tomé and de Oliveira; hence the dynamic phase diagrams calculated by Shi et al. are incomplete within both theories, except the low values of frequencies for the MFT calculation. We also investigate the influence of external field frequency ($\omega$) and static external field amplitude ($h_{0})$ for both MFT and EFT calculations. We find that the behaviour of the system strongly depends on values of $\omega$ and $h_{0}$.

Key words: kinetic Ising model, effective-field theory, mean-field theory

中图分类号: (Classical spin models)

75.10.Hk

75.30.Kz (Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.)) 75.40.Mg (Numerical simulation studies)

BayramDeviren, OsmanCanko, MustafaKeskin. Kinetic Ising model in a time-dependent oscillating external magnetic field: effective-field theory[J]. 中国物理B, 2010, 19(5): 50518-050518.

Bayram Deviren, Osman Canko, and Mustafa Keskin. Kinetic Ising model in a time-dependent oscillating external magnetic field: effective-field theory[J]. Chin. Phys. B, 2010, 19(5): 50518-050518.

参考文献 25b

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Kinetic Ising model in a time-dependent oscillating external magnetic field: effective-field theory

Kinetic Ising model in a time-dependent oscillating external magnetic field: effective-field theory

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