A Single Mobility Function for the Square-Lattice Ising Model and Its Application to Calibrated Monte Carlo Kinetics

TL;DR

This paper demonstrates that grain boundary mobility in a 2D square-lattice Ising model is independent of driving force across all temperatures, and introduces a calibration method linking Monte Carlo parameters to experimental data.

Contribution

It presents a calibration methodology for Monte Carlo simulations that directly relates parameters to measurable physical quantities, enabling accurate modeling of grain boundary kinetics.

Findings

Mobility is independent of driving force in the model.

Calibrated Monte Carlo captures sharp-interface theory predictions.

Method applies across the entire temperature range.

Abstract

Computational experiments are used to show that grain boundary mobility is independent of driving force in a two-dimensional, square-lattice Ising model with Metropolis kinetics. This is established over the entire Monte Carlo temperature range. A calibration methodology is then introduced which endows the Monte Carlo algorithm with time and length scales and allows the Monte Carlo parameters to be expressed directly in terms of experimentally measurable parameters. A comparison of results obtained for a variety of driving forces and temperature conditions indicates that such Calibrated Monte Carlo models are able to capture the grain boundary kinetics predicted by sharp-interface theory.