颗粒环境非均匀性在正常颗粒生长中的作用：一种随机方法
The role of grain-environment heterogeneity in normal grain growth: a stochastic approach
摘要：
晶粒的尺寸分布是多晶固体的基本特征。在没有变形的情况下，晶粒尺寸分布由正常晶粒生长控制。由Hillert发展的正常晶粒生长的规范模型预测了与观察到的分布存在系统性差异的晶粒尺寸分布。为了解决这个问题，我们提出了一个改变的Hillert模型，占在当地环境的异质性的影响粮食。在我们的模型中，每一粒谷物的进化都是对邻近谷物的局部环境的响应，而不是对全球谷物种群的响应。每个晶粒的局部环境根据Ornstein-Uhlenbeck随机过程演化。我们的结果是一致的公认的晶粒生长动力学。至关重要的是，我们的模型表明，相对较大的颗粒的大小演变为随机行走，由于其局部环境的固有变异性。这导致了更广泛的粒度分布比Hillert模型，并表明，异质性的微观结构的演变有着至关重要的影响。
英文摘要：
The size distribution of grains is a fundamental characteristic of polycrystalline solids. In the absence of deformation, the grain-size distribution is controlled by normal grain growth. The canonical model of normal grain growth, developed by Hillert, predicts a grain-size distribution that bears a systematic discrepancy with observed distributions. To address this, we propose a change to the Hillert model that accounts for the influence of heterogeneity in the local environment of grains. In our model, each grain evolves in response to its own local environment of neighbouring grains, rather than to the global population of grains. The local environment of each grain evolves according to an Ornstein-Uhlenbeck stochastic process. Our results are consistent with accepted grain-growth kinetics. Crucially, our model indicates that the size of relatively large grains evolves as a random walk due to the inherent variability in their local environments. This leads to a broader grain-size distribution than the Hillert model and indicates that heterogeneity has a critical influence on the evolution of microstructure.
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