基于Potts q态模型的多晶材料晶粒生长蒙特卡罗模拟研究

P. Rajendra, K. Phaneesh
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引用次数: 0

摘要

蒙特卡罗模拟方法目前已广泛应用于材料科学和工程领域,用于研究晶粒生长的二维动力学。本文综述了用蒙特卡罗模拟方法对晶粒生长动力学、晶粒尺寸和晶粒分布的研究进展。取向的初始分布是随机选择的,系统的演化是为了减少不同晶体取向的最近邻对的数量。监测微观结构的时间演变,以产生晶粒尺寸和形状的时间依赖性。本文以Metropolis算法编写计算机模拟代码为例,介绍了用MATLAB软件编写的二维ISING和POTTS Q-States模型模拟微观结构演变的两个代码。蒙特卡罗模拟方法目前已广泛应用于材料科学和工程领域,用于研究晶粒生长的二维动力学。本文综述了用蒙特卡罗模拟方法对晶粒生长动力学、晶粒尺寸和晶粒分布的研究进展。取向的初始分布是随机选择的,系统的演化是为了减少不同晶体取向的最近邻对的数量。监测微观结构的时间演变,以产生晶粒尺寸和形状的时间依赖性。本文以Metropolis算法编写计算机模拟代码为例,介绍了用MATLAB软件编写的二维ISING和POTTS Q-States模型模拟微观结构演变的两个代码。
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The Monte Carlo simulation of grain growth in polycrystalline material using Potts Q-state model-a perspective
The Monte Carlo simulation method is now widely applied to materials science and engineering to the study of the kinetics of grain growth in two dimensions. This review Survey includes the grain growth kinetics, Grain Size and Grain Distribution by Monte Carlo simulation method. The initial distribution of orientations is chosen at random and the system evolves so as to reduce the number of nearest neighbor pairs of unlike crystallographic orientation. The temporal evolution of the microstructure is monitored to yield the time dependence of the size and shapes of the grains. A procedure incorporating the Metropolis algorithm which helps in developing the code for computer simulation is given as examples, two codes written using MATLAB software to simulate microstructure evolution using 2D ISING and POTTS Q-States Model would be demonstrated.The Monte Carlo simulation method is now widely applied to materials science and engineering to the study of the kinetics of grain growth in two dimensions. This review Survey includes the grain growth kinetics, Grain Size and Grain Distribution by Monte Carlo simulation method. The initial distribution of orientations is chosen at random and the system evolves so as to reduce the number of nearest neighbor pairs of unlike crystallographic orientation. The temporal evolution of the microstructure is monitored to yield the time dependence of the size and shapes of the grains. A procedure incorporating the Metropolis algorithm which helps in developing the code for computer simulation is given as examples, two codes written using MATLAB software to simulate microstructure evolution using 2D ISING and POTTS Q-States Model would be demonstrated.
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