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中文摘要：
晶体相场方法是一种能在原子尺度和扩散时间尺度模拟材料微观结构演化的新方法，它能够自洽地耦合弹塑性形变和多重晶粒位向，并能用于模拟与此相关的很多物理现象。从晶体相场模型与经典密度泛函理论之间的关系出发，详细论述了晶体相场模型的一些新进展，包括八阶拟合晶体相场模型、双模数晶体相场模型和幅值方程模型等。还描述了晶体相场方法在异质外延、多晶凝固和位错迁移等方面的应用，并展望了其未来的应用前景。
英文摘要：
The phase-field-crystal （PFC） method is a novel approach to simulate the evolution of crystalline microstructure on atomistic length and diffusive time scales. It naturally incorporates elastic and plastic deformations and multiple crystal orientations, and can be applied to many different physical phenomena in which elasticity, plasticity, and multiple crystal orientations play a role. The connection between the PFC model and classical density functional theory （CDFT） was clarified, and new advances of the PFC model including Eighth-order-fitting PFC model, twomode PFC model and amplitude equation model were presented. The applications of PFC method on heteroepitaxy, polycrystalline solidification and dislocation migration were also described. Moreover, the current situation and research tendency of PFC method were prospected.
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