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arXiv 1704.07591cond-mat.mtrl-sci
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相位场晶体模型振幅展开中缺陷和界面能量的控制

Controlling the energy of defects and interfaces in the amplitude expansion of the phase-field crystal model

Marco Salvalaglio, Rainer Backofen, Axel Voigt, Ken R. Elder

摘要:

采用相场晶体(PFC)建模和相关振幅(APFC)公式的主要困难之一是调整模型参数以匹配实验量的能力。在这项工作中,我们解决的问题,调整缺陷的核心和界面能量的APFC制定。我们表明,除了一个单一的长期的自由能功能可以用来增加固-液界面和缺陷的能量在一个良好的控制方式,没有任何重大的变化,其他功能。在二维三角形和蜂窝状结构以及体心立方和面心立方晶格在三维空间中的新增加的长期的影响进行了探讨。此外,有限元法(FEM)的模型,结合网格细化计划。将有限元法和网格细化相结合来模拟具有新能量项的振幅膨胀,提供了一种控制缺陷和界面能量等微观特征的方法,同时对系统进行粗粒度检查。

英文摘要:

One of the major difficulties in employing phase field crystal (PFC) modeling and the associated amplitude (APFC) formulation is the ability to tune model parameters to match experimental quantities. In this work we address the problem of tuning the defect core and interface energies in the APFC formulation. We show that the addition of a single term to the free energy functional can be used to increase the solid-liquid interface and defect energies in a well-controlled fashion, without any major change to other features. The influence of the newly added term is explored in two-dimensional triangular and honeycomb structures as well as bcc and fcc lattices in three dimensions. In addition, a finite element method (FEM) is developed for the model that incorporates a mesh refinement scheme. The combination of the FEM and mesh refinement to simulate amplitude expansion with a new energy term provides a method of controlling microscopic features such as defect and interface energies while simultaneously delivering a coarse-grained examination of the system.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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