Nucleation in the Ising ferromagnet by a field spatially spreading in time

TL;DR

This study investigates how a spatially spreading magnetic field influences nucleation in the Ising ferromagnet, revealing that spreading fields increase nucleation time and introduce a new effective time scale, with both times decreasing as a power law.

Contribution

It introduces the concept of an effective time scale in nucleation under spatially spreading magnetic fields, supported by Monte Carlo simulations.

Findings

Nucleation time increases compared to static field case.

Clusters of negative spins grow from the center.

Both nucleation and effective times decrease as a power law with spreading rate.

Abstract

The nucleation in Ising ferromagnet has been studied by Monte Carlo simulation. Here, the magnetic field is spreading over the space in time. The nucleation time is observed to increase as compared to that in the case of static field. The clusters of negative spins is observed to grow from the center. The growth of effective magnetisation is studied with temperature and the strength of spreading magnetic field. The ratio of nucleation time and effective time is also studied with strength of spreading magnetic field. The effective time would introduce itself as a new scale of time in the case of nucleation by spatially spreading magnetic field. The effective time and the nucleation time both are observed to decrease as a power law fashion with the rate factor of spreading magnetic field.