Relaxation of a family of broken-bond crystal-surface models.
Relaxation of a family of broken-bond crystal-surface models.
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一系列断键晶体表面模型的松弛。
DOI：
10.1103/physreve.88.032403
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发表时间：
2013
期刊：
影响因子：
--
通讯作者：
J. Weare
中科院分区：
文献类型：
--
作者：
J. Marzuola;J. Weare
我们研究了一类晶体表面弛豫动力学蒙特卡罗模型的连续极限，这些模型包括固体对固体模型和离散高斯模型。通过计算实验和理论论证，我们能够推导出在以前的研究中确定（或几乎确定）的几个偏微分方程极限，并澄清PDE中出现的表面张力的正确选择以及导致每个PDE的正确标度制度。我们还提供了一些有趣的模型大规模行为的定性特征的初步计算调查。
We study the continuum limit of a family of kinetic Monte Carlo models of crystal surface relaxation that includes both the solid-on-solid and discrete Gaussian models. With computational experiments and theoretical arguments we are able to derive several partial differential equation limits identified (or nearly identified) in previous studies and to clarify the correct choice of surface tension appearing in the PDE and the correct scaling regime giving rise to each PDE. We also provide preliminary computational investigations of a number of interesting qualitative features of the large-scale behavior of the models.