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Kinetic mixed Ising system in the presence of a periodically varying external magnetic field: effective-field theory with Glauber-type stochastic dynamic for the magnetic properties

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Abstract

By using the effective-field theory based on the Glauber-type stochastic dynamics, we discuss the dynamic magnetic properties of the mixed-spin (3/2, 2) configuration in an oscillating magnetic field on the interpenetrating square lattices. The dynamic magnetic hysteresis cycles are given for different values of crystal-field, temperature and angular frequency. The dynamic phase diagrams are depicted to better understand the effect of the physical parameters on the phase transitions of the system. The system can present interesting dynamic magnetic features, which come from competition among several parameters. Finally, we plot the coercive field and remanent magnetization of the system under the influences of physical parameters.

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Authors and Affiliations

  1. Department of Physics, Erciyes University, 38039, Kayseri, Turkey

    Mehmet Ertaş

  2. Department of Physics, Bozok University, 66200, Yozgat, Turkey

    Ümüt Temizer

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  1. Mehmet Ertaş
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  2. Ümüt Temizer
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Correspondence to Ümüt Temizer.

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Appendix

Appendix

The Van der Waerden coefficients \(A\left( \alpha \right)\), \(B\left( \alpha \right)\), \(C\left( \alpha \right)\) and \(D\left( \alpha \right)\) for spin-2 in Eq. 2 and \(K\left( \alpha \right)\), \(L\left( \alpha \right)\), \(M\left( \alpha \right)\) and \(N\left( \alpha \right)\) for spin-3/2 in Eq. (3) are

$$ A\left( \alpha \right) = \frac{1}{6}\left[ {8\sinh \left( \alpha \right) - \sinh \left( {2\alpha } \right)} \right],{\kern 1pt} \quad K\left( \alpha \right) = \frac{1}{8}\left[ {9\cosh \left( {\frac{\alpha }{2}} \right) - \cosh \left( {\frac{3\alpha }{2}} \right)} \right], $$
$$ B\left( \alpha \right) = \frac{1}{12}\left[ {16\cosh \left( \alpha \right) - \cosh \left( {2\alpha } \right) - 15} \right],\quad L\left( \alpha \right) = \frac{1}{12}\left[ {27\sinh \left( {\frac{\alpha }{2}} \right) - \sinh \left( {\frac{3\alpha }{2}} \right)} \right], $$
$$ C\left( \alpha \right) = \frac{1}{6}\left[ {\sinh \left( {2\alpha } \right) - 2\sinh \left( \alpha \right)} \right],\;{\text{and}}\quad M\left( \alpha \right) = \frac{1}{2}\left[ { - \cosh \left( {\frac{\alpha }{2}} \right) + \cosh \left( {\frac{3\alpha }{2}} \right)} \right], $$
$$ D\left( \alpha \right) = \frac{1}{12}\left[ {\cosh \left( {2\alpha } \right) - 4\cosh \left( \alpha \right) + 3} \right],\quad N\left( \alpha \right) = \frac{1}{3}\left[ { - 3\sinh \left( {\frac{\alpha }{2}} \right) + \sinh \left( {\frac{3\alpha }{2}} \right)} \right]. $$

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Ertaş, M., Temizer, Ü. Kinetic mixed Ising system in the presence of a periodically varying external magnetic field: effective-field theory with Glauber-type stochastic dynamic for the magnetic properties. Eur. Phys. J. Plus 137, 1202 (2022). https://doi.org/10.1140/epjp/s13360-022-03394-z

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