Dynamic Phase Transition in the Kinetic Spin-3/2 Blume-Capel Model: Phase Diagrams in the Temperature and Crystal-Field Interaction Plane

TL;DR

This study investigates the dynamic phase transitions of the kinetic spin-3/2 Blume-Capel model under oscillating magnetic fields, revealing complex phase diagrams with multiple critical points and phase coexistences.

Contribution

It introduces a mean-field analysis of the kinetic spin-3/2 Blume-Capel model with dynamic phase diagrams in the temperature and crystal-field plane, identifying various critical points.

Findings

Five fundamental phase diagram types identified.

Presence of dynamic double critical end point, tricritical points.

Complex phase coexistence regions observed.

Abstract

We analyze, within a mean-field approach, the stationary states of the kinetic spin-3/2 Blume-Capel model by the Glauber-type stochastic dynamics and subject to a time-dependent oscillating external magnetic field. The dynamic phase transition points are obtained by investigating the behavior of the dynamic magnetization as a function of temperature and as well as calculating the Liapunov exponent. Phase diagrams are constructed in the temperature and crystal-field interaction plane. We find five fundamental types of phase diagrams for the different values of the reduced magnetic field amplitude parameter (h) in which they present a disordered, two ordered phases and the coexistences phase regions. The phase diagrams also exhibit a dynamic double critical end point for 0<h<1.44, one dynamic tricritical point for 1.44<h<5.06 and two dynamic tricritical points for h>5.06.