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Qualititative Analysis of Interface Behavior under First Phase Transition

机译:第一相变过程中界面行为的定性分析

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At present there is no explanation of the nature of interface instability upon first order phase transitions. The well-known theory of concentration overcooling under directed crystallization of solutions and Mullins-Sekerka instability cannot account for the diversified liquid component redistribution during solid state transition. In [1-3], within the framework of the nonequilibrium mass transfer problem, it has been shown that there are regimes of the interface instability, which differ from the known ones [4-6]. Moreover, the instability theory of works [1-3] demonstrates a complete experimental agreement of the dependence of eutectic pattern period on interface velocity. However, it is difficult to explain interface instability within the framework of a general setting of the mass-transfer problem. This paper is de-voted to qualitative analysis of the phenomena that are responsible for interface instability. The phenomena are connected by a single equation. Qualitative analysis revealed a variety of different conditions responsible for instability of flat interface stationary movement upon phase transition. The type of instability depends on system parameters. It is important that interface instability in the asymptotic case of quasi-equilibrium problem setting is qualitatively different from interface instability in the case of nonequilibrium problem setting.
机译:目前,尚无关于一阶相变时界面不稳定性质的解释。溶液定向结晶下的浓度过冷和Mullins-Sekerka不稳定性的众所周知的理论不能解释固态转变过程中液体组分的重新分布。在[1-3]中,在非平衡传质问题的框架内,已经表明存在界面不稳定的状态,这与已知的不同[4-6]。此外,工作[1-3]的不稳定性理论证明了共晶模式周期对界面速度的依赖性的完全实验一致性。但是,很难在传质问题的一般设置框架内解释界面不稳定性。本文致力于定性分析导致界面不稳定的现象。现象由一个方程式连接。定性分析表明,相变后平面界面固定运动不稳定的各种不同条件。不稳定的类型取决于系统参数。重要的是,在拟均衡问题设置的渐近情况下的接口不稳定性与在非均衡问题设置情况下的接口不稳定性在质量上有所不同。

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