Nonlinear Pattern Formation during Phase Separation and Its Scaling

相分离现象是扩散相变的一种，是材料科学中的一个基础知识，也是至今尚未解决的问题。在本研究中，非线性模式的形成已主要研究在相分离的中间阶段。在1995年，中子和X射线小角散射测量被用来获得Al-Zn，Al-Li和Fe基合金的结构因子。通过实验数据与Langer非线性理论的比较，阐明了非线性相分离的机理。1996年，为了将我们的研究应用于工业材料，我们利用计算机软件Thermo Calc，对Al-Zn-Mg和Fe-Cr-Mo合金中的驱动力和相关系进行了研究。采用时间标度法和结构标度法对结构因子的变化进行了相分离动力学分析。

Phenomenon of phase separation, which is one of diffusional phase transformations, is a basic knowledge in materials science and includes still unsolved problems. In the present study, the nonlinear pattern formation has been mainly investigated during the intermediate stage of phase separation. In 1995, both neutron and X-ray small angle scattering measurements were carried out to obtain the structure factor for Al-Zn, Al-Li and Fe based alloys. The mechanism of nonlinear phase separation has been elucidated by comparing the experimental data with the Langer's nonlinear theory. In 1996, In order to apply our consideration to the industrial materials, the driving force and phase relation were made clear in Al-Zn-Mg and Fe-Cr-Mo alloys by using the computer soft "Thermo Calc". Kinetics of phase separation were analyzed by applying time scaling as well as structure scaling to the change of structure factors.