arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 1005.4696cond-mat.mtrl-sciphysics.chem-phphysics.comp-ph
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多组元多相微结构的热力学相场模型:亚稳相存在的可能性

Thermodynamic phase-field model for microstructure with multiple components and phases: the possibility of metastable phases

Daniel A. Cogswell, W. Craig Carter

摘要:

从基本的热力学和动力学原理出发,建立了一个适用于任意数量组分和相的微结构扩散界面模型,并在变分框架内进行了形式化。该模型包括一个组成梯度能量捕获溶质捕获,因此适合于研究的现象,其中的界面宽度起着重要的作用。从均匀自由能的泰勒展开的非均匀自由能泛函的推导揭示了如何在质量约束下指定每个组分和相的界面性质。组分的扩散势被定义为远离稀溶液极限,并且使用多障碍屏障函数来约束相分数。该模型被用来模拟凝固通过形核,预熔在相界和三重结,小颗粒的内在不稳定性,溶质熔化导致不同的扩散系数在固体和液体。亚稳自由能表面的形状被发现在微观结构的演变中发挥了重要作用,并可能解释为什么有些系统在相边界和相三重连接处预熔,而其他人没有。

英文摘要:

A diffuse-interface model for microstructure with an arbitrary number of components and phases was developed from basic thermodynamic and kinetic principles and formalized within a variational framework. The model includes a composition gradient energy to capture solute trapping, and is therefore suited for studying phenomena where the width of the interface plays an important role. Derivation of the inhomogeneous free energy functional from a Taylor expansion of homogeneous free energy reveals how the interfacial properties of each component and phase may be specified under a mass constraint. A diffusion potential for components was defined away from the dilute solution limit, and a multi-obstacle barrier function was used to constrain phase fractions. The model was used to simulate solidification via nucleation, premelting at phase boundaries and triple junctions, the intrinsic instability of small particles, and solutal melting resulting from differing diffusivities in solid and liquid. The shape of metastable free energy surfaces is found to play an important role in microstructure evolution and may explain why some systems premelt at phase boundaries and phase triple junctions while others do not.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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