Time dependent magnetic field effects on the $\pm J$ Ising model

TL;DR

This study explores how a time-dependent oscillating magnetic field influences the nonequilibrium phase transitions of the $ ext{±}J$ Ising model on a 2D lattice, revealing complex behaviors like reentrance and dynamic tricritical points.

Contribution

It provides a detailed analysis of the nonequilibrium phase transition phenomena in the $ ext{±}J$ Ising model under oscillating fields, highlighting novel behaviors and classification schemes.

Findings

Reentrant phenomena observed in phase diagrams.

Competition between exchange interactions affects phase transition nature.

Magnetization profiles follow Q, L, and P-type classifications.

Abstract

Nonequilibrium phase transition properties of the $\pm J$ Ising model under a time dependent oscillating perturbation are investigated within the framework of effective field theory for a two-dimensional square lattice. After a detailed analysis, it is found that the studied system exhibits unusual and interesting behaviors such as reentrant phenomena, and the competition between ferromagnetic and antiferromagnetic exchange interactions gives rise to destruct the dynamic first order phase transitions as well as dynamic tricritical points. Furthermore, according to N\'{e}el nomenclature, the magnetization profiles have been found to obey Q-type, L-type and P-type classification schemes under certain conditions. Finally, it is observed that the treatment of critical percolation with applied field amplitude strongly depends upon the frequency of time varying external field.