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

机译:自由能函数用于高效相场晶体建模   结构相变

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摘要

The phase field crystal (PFC) method has emerged as a promising technique formodeling materials with atomistic resolution on mesoscopic time scales. Theapproach is numerically much more efficient than classical density functionaltheory (CDFT), but its single mode free energy functional only leads tolattices with triangular (2D) or BCC (3D) symmetries. By returning to a closerapproximation of the CDFT free energy functional, we develop a systematicconstruction of two-particle direct correlation functions that allow the studyof a broad class of crystalline structures. This construction examines planarspacings, lattice symmetries, planar atomic densities and the atomicvibrational amplitude in the unit cell of the lattice and also provides controlparameters for temperature and anisotropic surface energies. The power of thisnew approach is demonstrated by two examples of structural phasetransformations.
机译:相场晶体(PFC)方法已成为一种有前途的技术,可用于在介观时标上以原子分辨率建模材料。该方法在数值上比经典的密度泛函理论(CDFT)高效得多,但是其单模自由能泛函仅会导致具有三角形(2D)或BCC(3D)对称性的晶格。通过返回CDFT自由能函数的更接近的近似值,我们开发了两个粒子直接相关函数的系统构造,从而可以研究广泛的晶体结构。该构造检查晶格的晶格中的平面间距,晶格对称性,平面原子密度和原子振动幅度,还提供了温度和各向异性表面能的控制参数。结构相变的两个例子证明了这种新方法的力量。

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