Hubert J, Cheng M, Emmerich H
Computational Materials Engineering (CME), Institute for Minerals Engineering, Center for Computational Engineering Science, Jülich-Aachen Research Alliance, RWTH Aachen University, DE-52056 Aachen, Germany.
J Phys Condens Matter. 2009 Nov 18;21(46):464108. doi: 10.1088/0953-8984/21/46/464108. Epub 2009 Oct 27.
We contribute to the more detailed understanding of the phase-field crystal model recently developed by Elder et al (2002 Phys. Rev. Lett. 88 245701), by focusing on its noise term and examining its impact on the nucleation rate in a homogeneously solidifying system as well as on successively developing grain size distributions. In this context we show that principally the grain size decreases with increasing noise amplitude, resulting in both a smaller average grain size and a decreased maximum grain size. Despite this general tendency, which we interpret based on Panfilis and Filiponi (2000 J. Appl. Phys. 88 562), we can identify two different regimes in which nucleation and successive initial growth are governed by quite different mechanisms.
我们致力于更详细地理解埃尔德等人（2002年，《物理评论快报》，第88卷，245701页）最近提出的相场晶体模型，重点关注其噪声项，并研究其对均匀凝固系统中形核率以及对连续发展的晶粒尺寸分布的影响。在此背景下，我们表明，原则上晶粒尺寸会随着噪声幅度的增加而减小，导致平均晶粒尺寸变小以及最大晶粒尺寸减小。尽管存在这种我们基于潘菲利和菲利波尼（2000年，《应用物理杂志》，第88卷，562页）所解释的总体趋势，但我们可以识别出两种不同的机制，在这两种机制中，形核和连续的初始生长受截然不同的机制支配。
