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Metamagnetic anomalies in the kinetic Blume–Capel model with arbitrary spin

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  • Yüksel, Yusuf
  • Akıncı, Ümit
  • Vatansever, Erol

Abstract

Using the effective-field theory, we have investigated the dynamic behavior of a kinetic spin-S Blume Capel model which is an extension of the conventional kinetic Ising model with S≥1. For integer and half-integer spins, we have evaluated the dynamic phase diagrams. By introducing a constant bias field hb, we have focused on the emergence of metamagnetic anomalies in dynamic susceptibility versus bias field curves which arise for a narrow range of the bias field. For long periods, a close examination of susceptibility versus bias field data leads to a linear variation in 1/(h0−|hbpeak|)−logP curves where P is the field period. This result confirms that |hbpeak| asymptotically approaches the oscillating field amplitude h0 as 1/logP in the slow critical dynamics regime. Our calculations indicate that recent findings regarding the DPT in kinetic Ising model also extents to the kinetic Blume–Capel model with arbitrary spin.

Suggested Citation

  • Yüksel, Yusuf & Akıncı, Ümit & Vatansever, Erol, 2022. "Metamagnetic anomalies in the kinetic Blume–Capel model with arbitrary spin," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 603(C).
    • Handle: RePEc:eee:phsmap:v:603:y:2022:i:c:s037843712200560x
    DOI: 10.1016/j.physa.2022.127867
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    References listed on IDEAS

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    1. Shi, Xiaoling & Liu, Peisheng, 2019. "Metamagnetic anomalies in the kinetic Ising model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 536(C).
    2. Kaneyoshi, T. & Tucker, J.W. & Jaščur, M., 1992. "Differential operator technique for higher spin problems," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 186(3), pages 495-512.
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