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

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

2009-02-28

arxiv.org/abs/0903.0026v1

Physics

Condensed Matter

Materials Science

9 pages, 13 figures

Scientific paper

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.

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