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arXiv 1002.3185cond-mat.mtrl-sci
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结构相变的有效相场晶体模拟的自由能泛函

Free energy functionals for efficient phase field crystal modeling of structural phase transformations

Michael Greenwood, Nikolas Provatas, Jörg Rottler

摘要:

相场晶体(PFC)方法已成为一种很有前途的技术,用于在介观时间尺度上模拟具有原子级分辨率的材料。该方法在数值上比经典的密度泛函理论(CDFT)更有效,但其单模自由能泛函只能导致具有三角形(2D)或BCC(3D)对称性的晶格。通过返回到一个更接近的近似的CDFT自由能功能,我们开发了一个系统的建设两个粒子的直接关联函数,允许广泛的一类晶体结构的研究。这种结构检查平面间距,晶格对称性,平面原子密度和晶格晶胞中的原子振动幅度,并提供温度和各向异性表面能的控制参数。这种新方法的力量是由两个结构相变的例子证明。

英文摘要:

The phase field crystal (PFC) method has emerged as a promising technique for modeling materials with atomistic resolution on mesoscopic time scales. The approach is numerically much more efficient than classical density functional theory (CDFT), but its single mode free energy functional only leads to lattices with triangular (2D) or BCC (3D) symmetries. By returning to a closer approximation of the CDFT free energy functional, we develop a systematic construction of two-particle direct correlation functions that allow the study of a broad class of crystalline structures. This construction examines planar spacings, lattice symmetries, planar atomic densities and the atomic vibrational amplitude in the unit cell of the lattice and also provides control parameters for temperature and anisotropic surface energies. The power of this new approach is demonstrated by two examples of structural phase transformations.

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