Nonequilibrium phase transition in the kinetic Ising model: Existence of tricritical point and stochastic resonance

TL;DR

This paper investigates the dynamic phase transition in the two-dimensional kinetic Ising model under a sinusoidal magnetic field, revealing a tricritical point and the role of stochastic resonance in the transition.

Contribution

It demonstrates the existence of a tricritical point separating continuous and discontinuous transitions in the kinetic Ising model with a time-varying field.

Findings

Discontinuous transition at high field amplitudes.

Continuous transition at low field amplitudes.

Transition linked to stochastic resonance.

Abstract

The dynamic phase transition has been studied in the two dimensional kinetic Ising model in presence of a time varying (sinusoidal) magnetic field by Monte Carlo simulation. The nature (continuous or discontinuous) of the transition is characterized by studying the distribution of the order parameter and the temperature variation of the fourth order cumulant. For the higher values of the field amplitude, the transition observed is discontinuous and it is continuous for lower values of the field amplitude, indicating the existence of a tricritical point (separating the nature of the transition) on the phase boundary. The transition is observed to be a manifestation of stochastic resonance.