Effect of next-nearest neighbor interactions on the dynamic order parameter of the Kinetic Ising model in an oscillating field

TL;DR

This study investigates how next-nearest neighbor interactions influence the dynamic phase transition and metastable lifetime in a two-dimensional kinetic Ising model under an oscillating magnetic field, revealing an interaction-induced transition from deterministic to stochastic behavior.

Contribution

It introduces the effect of next-nearest neighbor interactions on the dynamic phase transition and metastable lifetime in the kinetic Ising model, highlighting an interaction-induced transition.

Findings

Identification of a transition from zero to non-zero dynamic order parameter due to NNN interactions.

Demonstration that metastable lifetime depends on additional interactions beyond size, field, and temperature.

Evidence of an interaction-induced transition from deterministic to stochastic states.

Abstract

We study the effects of next-nearest neighbor (NNN) interactions in the two-dimensional ferromagnetic kinetic Ising model exposed to an oscillating field. By tuning the interaction ratio (p = JNNN/JNN) of the NNN (JNNN) to the nearest-neighbor (NN) interaction (JNN) we find that the model undergoes a transition from a regime in which the dynamic order parameter Q is equal to zero to a phase in which Q is not equal to zero. From our studies we conclude that the model can exhibit an interaction induced transition from a deterministic to a stochastic state. Furthermore, we demonstrate that the systems' metastable lifetime is sensitive not only to the lattice size, external field amplitude, and temperature (as found in earlier studies) but also to additional interactions present in the system.