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

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

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 $h_{0}$.

Keywords: kinetic Ising model effective-field theory mean-field theory

Received: 01 September 2009
Revised: 04 September 2009
Accepted manuscript online:

PACS:	75.10.Hk	(Classical spin models)
	75.30.Kz	(Magnetic phase boundaries (including classical and quantum magnetic transitions, metamagnetism, etc.))
	75.40.Mg	(Numerical simulation studies)

Fund: 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).

Cite this article:

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

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