Bridging the phase-field and phase-field crystal approaches for anisotropic material systems

Bridging the phase-field and phase-field crystal approaches for anisotropic material systems
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DOI:
10.1140/epjst/e2014-02096-y
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发表时间:
2014-02
期刊:
The European Physical Journal Special Topics
影响因子:
--
通讯作者:
J. Kundin;M. Choudhary;H. Emmerich
J. Kundin;M. Choudhary;H. Emmerich
中科院分区:
其他
文献类型:
--
作者:
J. Kundin;M. Choudhary;H. Emmerich

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在本文中的振幅表示的各向异性相场晶体(APFC)模型最近提出的各向同性以及各向异性晶格系统作为一种广义模型。推导了具有弹性效应的纯物质凝固的振幅方程与标准相场模型之间的关系,从而明确了相场模型与APFC模型之间的联系。一方面,我们提出了一个计算效率更高的模型,并强调其潜力的PFC和相场模型与各向异性界面能量和动力学之间的桥梁。
In this paper the amplitude representation of the anisotropic phase-field crystal (APFC) model recently proposed as a generalized model for isotropic as well as anisotropic crystal lattice systems is developed. The relationship between the amplitude equations and the standard phase-field model for solidification of pure substances with elasticity effects is derived which provide an explicit connection between the phase-field and APFC models. On the one hand we present a computationally more efficient model and highlight its potential as a bridge between the PFC and phase-field models with anisotropic interface energies and kinetics on the other hand.