Dynamic dipole and quadrupole phase transitions in the kinetic spin-1 model

TL;DR

This study investigates dynamic phase transitions in a kinetic spin-1 Ising model with bilinear and biquadratic interactions under a sinusoidal magnetic field, revealing complex phase diagrams with tricritical points and coexistence phases.

Contribution

It provides a mean-field analysis of dynamic phase transitions in the spin-1 model, highlighting the effects of biquadratic interactions on phase diagram topology and critical phenomena.

Findings

Identified six fundamental types of phase diagrams.

Discovered the presence of dynamic tricritical points depending on biquadratic interaction.

Found coexistence regions of disordered, ferromagnetic, and quadrupolar phases.

Abstract

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic field by using the Glauber-type stochastic dynamics. The nature (first- or second-order) of the transition is characterized by investigating the behavior of the thermal variation of the dynamic order parameters. The dynamic phase transitions (DPTs) are obtained and the phase diagrams are constructed in the temperature and magnetic field amplitude plane and found six fundamental types of phase diagrams. Phase diagrams exhibit one or two dynamic tricritical points depending on the biquadratic interaction (K). Besides the disordered (D) and ferromagnetic (F) phases, the FQ + D, F + FQ and F + D coexistence phase regions also exist in the system and the F and F + D phases disappear for high values of K.