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arXiv 1503.06344cond-mat.mtrl-sci
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三维体心立方晶体的旋转限制生长

Rotation-limited growth of three dimensional body-centered cubic crystals

Jens M. Tarp, Joachim Mathiesen

摘要:

根据经典的晶粒生长定律,晶粒生长是由表面能的最小化驱动的,并且将继续直到单个晶粒占优势。这些定律没有考虑到晶格的各向异性和晶粒之间质量的微观重排的细节。在这里,我们考虑粗化的体心立方多晶材料在三维使用相场晶体模型。我们观察到作为淬火深度的函数,在晶粒旋转停止和生长停滞的状态与晶粒通过相邻晶粒的晶格的旋转和对齐通过聚结而迅速粗化的状态之间的交叉。我们发现,晶粒的单位体积变化的晶粒旋转遵循幂律的指数为$-1.25$。标度指数与基于位错守恒的理论考虑是一致的。

英文摘要:

According to classical grain growth laws, grain growth is driven by the minimization of surface energy and will continue until a single grain prevails. These laws do not take into account the lattice anisotropy and the details of the microscopic rearrangement of mass between grains. Here we consider coarsening of body-centered cubic polycrystalline materials in three dimensions using the phase field crystal model. We observe as function of the quenching depth, a cross over between a state where grain rotation halts and the growth stagnates and a state where grains coarsen rapidly by coalescence through rotation and alignment of the lattices of neighboring grains. We show that the grain rotation per volume change of a grain follows a power law with an exponent of $-1.25$. The scaling exponent is consistent with theoretical considerations based on the conservation of dislocations.

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