The dynamic magnetic behaviors of the Blume-Capel Ising bilayer system

TL;DR

This paper investigates the dynamic magnetic behaviors of a Blume-Capel Ising bilayer system under oscillating magnetic fields using mean field theory, revealing complex phase diagrams with tricritical and reentrant phenomena.

Contribution

It introduces a detailed mean field dynamic analysis of the Blume-Capel Ising bilayer system, highlighting dynamic phase transitions and complex phase diagram features.

Findings

Identification of dynamic phase diagrams with tricritical points

Observation of reentrant behavior in phase transitions

Detection of dynamic triple points

Abstract

The dynamic magnetic behaviors of the spin-1 Blume-Capel Ising bilayer system (BCIS) are studied in an oscillating external magnetic field on a two-layer square lattice by utilizing the mean field theory based on Glauber-type stochastic dynamics (DMFT). The dynamic equations describing the time-dependencies of the average magnetizations are obtained with the Master equation. The dynamic phases in this system are found by solving these dynamic equations. The temperature dependence of the dynamic order parameters is examined to characterize the nature (continuous or discontinuous) of the phase transitions and to obtain the dynamic phase transition points (DPT). The dynamic phase diagrams are shown for ferromagnetic / ferromagnetic, antiferromagnetic / antiferromagnetic, antiferromagnetic / antiferromagnetic interactions in the plane of the reduced temperature versus magnetic field amplitude and they display dynamic tricritical and reentrant behavior as well as the dynamic triple point.