超越Mullins模型的晶粒生长，捕捉通用晶粒尺寸分布背后的复杂物理
Grain growth beyond the Mullins model, capturing the complex physics behind universal grain size distributions
摘要：
金属薄膜上的晶粒生长实验表明，晶粒结构的几何和拓扑特征是普遍的，并且与许多实验条件无关。然而，普遍的尺寸分布，被发现从标准的马林斯曲率驱动的模型的晶粒生长的定性和定量的不同，与实验表现出过量的小晶粒（称为“耳朵”）和过量的非常大的晶粒（称为“尾巴”）与模型相比。虽然已经提出了过多的扩展的马林斯模型来解释这些特征，没有一个是成功的。在这项工作中，大规模的模拟模型，解决原子尺度上的扩散时间尺度，相场晶体模型，被用来研究晶粒生长的复杂现象。计算结果与实验结果吻合较好，恢复了实验粒度分布的“耳”和“尾”特征。模拟结果还表明，虽然几何和拓扑特征是普遍的，但动态增长指数不是。
英文摘要：
Grain growth experiments on thin metallic films have shown the geometric and topological characteristics of the grain structure to be universal and independent of many experimental conditions. The universal size distribution, however, is found to differ both qualitatively and quantitatively from the standard Mullins curvature driven model of grain growth; with the experiments exhibiting an excess of small grains (termed an "ear") and an excess of very large grains (termed a "tail") compared with the model. While a plethora of extensions of the Mullins model have been proposed to explain these characteristics, none have been successful. In this work, large scale simulations of a model that resolves the atomic scale on diffusive time scales, the phase field crystal model, is used to examine the complex phenomena of grain growth. The results are in remarkable agreement with the experimental results, recovering the characteristic "ear" and "tail" features of the experimental grain size distribution. The simulations also indicate that while the geometric and topological characteristics are universal, the dynamic growth exponent is not.
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