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Nonlocal diffusion models: Application to rapid solidification of binary mixtures

机译:非局部扩散模型:在快速固化二元混合物中的应用

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摘要

Various theoretical treatments and models for nonlocal diffusion are briefly reviewed and discussed. The nonlocal effects arise in far from equilibrium processes, which involve extremely fast heat and mass transfer at very small time and length scales. With only diffusive dynamics, the nonlocal models result in a set of transfer equations of parabolic type with an infinite velocity of diffusive disturbances. With the wavelike dynamics, the models lead to a set of transfer equations of hyperbolic type with a finite velocity of diffusive disturbances. Rapid solidification of binary alloys has been used to illustrate the influence of the nonlocal diffusion effects on solute partitioning at the phase interface.
机译:简要回顾和讨论了各种非局部扩散的理论方法和模型。非局部效应远非平衡过程产生,它涉及到在非常短的时间和长度范围内极快的热量和质量传递。仅具有扩散动力学,非局部模型会导致一组抛物线型传递方程组,其扩散扰动速度是无限的。利用波状动力学,模型得出了具有有限扩散速度的双曲型传递方程组。二元合金的快速凝固已被用来说明非局部扩散效应对相界面上溶质分配的影响。

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