Nucleation in two dimensional Ising system: Classical theory and computer simulation

TL;DR

This paper investigates nucleation in a 2D Ising model using Monte Carlo simulations, analyzing how nucleation time varies with magnetic field and system size, and comparing results with classical nucleation theory.

Contribution

It provides a detailed simulation-based analysis of nucleation phenomena in the 2D Ising model, validating classical nucleation theory predictions.

Findings

Logarithm of nucleation time is proportional to inverse magnetic field

Crossover field and time depend on system size

Results align with classical nucleation theory predictions

Abstract

We have studied the nucleation in the two dimensional Ising model by Monte Carlo simulation. The nucleation time has been studied as a function of the magnetic field for various system sizes. The logarithm of the nucleation time is found to be proportional to the inverse of the magnetic field.The crossover field and time are studied as a function of system size. The observed variations are consistent with the prediction of classical nucleation theory.