FORC Analysis of homogeneous nucleation in the two-dimensional kinetic Ising model

TL;DR

This paper applies the FORC method to a 2D kinetic Ising model, revealing nearly deterministic reversal dynamics via homogeneous nucleation, and compares results with KJMA theory and Monte Carlo simulations.

Contribution

It demonstrates the application of the FORC method to a homogeneous nucleation scenario in the 2D kinetic Ising model, highlighting differences from disordered systems and suggesting extensions to KJMA theory.

Findings

FORC diagrams differ from previous disordered system studies.

Good agreement between KJMA theory and Monte Carlo simulations.

Reversal dynamics are nearly deterministic due to homogeneous nucleation.

Abstract

The first-order reversal curve (FORC) method is applied to the two-dimensional kinetic Ising model. For the system size and magnetic field chosen, the system reverses by the homogeneous nucleation and growth of many droplets. This makes the dynamics of reversal nearly deterministic, in contrast to the strongly disordered systems previously studied by the FORC method. Consequently, the FORC diagrams appear different from those obtained in previous studies. The Kolmogorov-Johnson-Mehl-Avrami (KJMA) theory of phase transformation by nucleation and growth is applied to the system. Reasonable agreement with the Monte Carlo simulations is found, and the FORC method suggests how the KJMA theory could be extended.