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

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.