Interfaces play an important role during phase transition and interfacial chemical reactions. In this paper, three different methods are introduced to analyze the explicit dynamics of the diffuse interface by means of phase‐field model, and these methods are based on three independent perspectives: non‐dispersive propagation of the interfacial waveform, the flux density and sources/sinks analysis of continuity equation, and the moving interfacial coordinate transformation. These theoretical derivations not only present the relationship between the diffuse interfacial velocity and the effect of driving force and interfacial curvature, but also clarify the equivalent method between the phase‐field dynamics and the sharp‐interfacial dynamics, which reveals the physical meaning of the diffuse interfacial dynamical equation from different perspectives. The present study advances the understanding of the interfacial phase transition and provides theoretical insights for the phase‐field model and numerical simulation.

中文翻译：

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相场模型中扩散界面的显式动力学

界面在相变和界面化学反应中起重要作用。本文介绍了三种不同的方法来通过相场模型分析扩散界面的显式动力学，并且这些方法基于三个独立的观点：界面波形的非分散传播，通量密度和源/ sink分析连续性方程，以及运动界面坐标变换。这些理论推导不仅给出了扩散界面速度与驱动力和界面曲率的影响之间的关系，而且阐明了相场动力学和尖锐界面动力学之间的等效方法，从而揭示了扩散的物理意义。不同角度的界面动力学方程。