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

Yusuf Yüksel, Ümit Akıncı and Erol Vatansever

Physica A: Statistical Mechanics and its Applications, 2022, vol. 603, issue C

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.

Keywords: Blume–Capel model; Dynamic phase transitions; Effective-field theory; Metamagnetic anomalies (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:603:y:2022:i:c:s037843712200560x

DOI: 10.1016/j.physa.2022.127867

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