발간논문

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Vol.34, No.7, 929 ~ 936, 1996
Title
Research Paper - Mathematical Modeling - : Two - Dimensional Monte Carlo Simulation on Growth Kinetics of a Circular Grain in an Infinite Matrix
이효남Hyo Nam Lee, 황선근Sun Keun Hwang, 장석태Suk Tae Chang, 김병기Byung Kee Kim, 정형식Hyung Sik Chung
Abstract
A computer program for a Monte Carlo simulation of grain growth based on the Ising model was developed. The system in the model comprised of a square lattice with each lattice site having an alternative spin of two kinds, either `up` or `down`. Verification of the program confirmed a cluster forming below the critical transition temperature T_0. Starting with a two-dimensional circular grain we studied the grain growth kinetics at a given temperature. A t^(½) time dependence growth rate was found, which was in accord with the classical curvature-driven growth rate theory. Increasing the temperature resulted in a decline of the growth rate at a given Monte Carlo step that appeared as a reduction of the coefficient of the time term. This phenomenon was attributed to abnormal curvature formation at local areas of the grain boundary due to enhanced fluctuation of the lattice sites at high temperature.
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