快速定向凝固的毛细波描述
Capillary-Wave Description of Rapid Directional Solidification
摘要：
将最近提出的二元合金凝固的毛细波描述推广到包括定向凝固过程。对于一类模型系统的一个普遍的色散关系的平面稳态凝固前沿的不稳定的本征模式，重新调整以前已知的稳定性考虑。此外，我们建立了一个微分方程的振荡运动的平面界面，提供了一个极限环的情况下形成的溶质带，并考虑到Mullins-Sekerka不稳定性，带状结构。
英文摘要：
A recently introduced capillary-wave description of binary-alloy solidification is generalized to include the procedure of directional solidification. For a class of model systems a universal dispersion relation of the unstable eigenmodes of a planar steady-state solidification front is derived, which readjusts previously known stability considerations. We, moreover, establish a differential equation for oscillatory motions of a planar interface that offers a limit-cycle scenario for the formation of solute bands, and, taking into account the Mullins-Sekerka instability, of banded structures.
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