在具有扩散对比度的相场模型中实现真实的界面动力学
Achieving realistic interface kinetics in phase field models with a diffusional contrast
摘要：
相场模型是处理自由边界问题的有力工具。对于涉及扩散的相变，非守恒相场的演化与守恒扩散场的演化相耦合。引入这两个场之间的动力学交叉耦合[E. A.布雷纳湾Boussinot，Phys. Rev. E { \bf 86}，060601（R）（2012）]，我们解决了当考虑相之间的扩散对比时界面动力学的现实描述的长期存在的问题。使用的情况下，一个纯物质的固化，我们展示了如何消除在界面处的温度跳跃，并恢复完全平衡的边界条件。我们通过数值模拟证实了我们的结果。
英文摘要：
Phase field models are powerful tools to tackle free boundary problems. For phase transformations involving diffusion, the evolution of the non conserved phase field is coupled to the evolution of the conserved diffusion field. Introducing the kinetic cross coupling between these two fields [E. A. Brener, G. Boussinot, Phys. Rev. E {\bf 86}, 060601(R) (2012)], we solve the long-standing problem of a realistic description of interface kinetics when a diffusional contrast between the phases is taken into account. Using the case of the solidification of a pure substance, we show how to eliminate the temperature jump at the interface and to recover full equilibrium boundary conditions. We confirm our results by numerical simulations.
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