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由Flory-Huggins的柔性高分子溶液的格子模型和Lebwohl-Lasher液晶模型结合起来导出的高分子/液晶复合体系的混合自由能泛函,并引入TDGL方程以用描述体系的相分离动力学.线性化理论的计算结果表明.高分子/液晶复合体系的相分离初期行为与描述普通两元熔体的相分离初期的Cahn-Hilliard理论结果十分相似,即在Spinodal区域内,浓度涨落(即散射光强)随时间变化呈指数式增长,而散射函数的峰值位置(qm),则不随时间而改变.另外,高分子/液晶体系有两个Spinodal相区域,即各向异性Spinodal相区域和各向同性Spinodal相区域.而且,处在各向异性态的液晶能强烈地排斥柔性高分子,因而在各向异性相区域的相分离初期速度要比各向同性区域快得多,散射光强也要强得多.
The mixed free energy functional of the polymer / liquid crystal composite system derived from the lattice model of Flory-Huggins flexible polymer solution and the Lebwohl-Lasher liquid crystal model is introduced and the TDGL equation is introduced to describe the phase separation kinetics of the system. The result of linearization theory shows. The initial phase separation behavior of macromolecule / liquid crystal composite is very similar to that of Cahn-Hilliard theory, which describes the phase separation of ordinary binary melts. In the Spinodal region, the concentration fluctuation (ie, the intensity of scattered light) changes with time Exponential growth, while the scattering function of the peak position (qm), then does not change over time. In addition, the polymer / liquid crystal system has two Spinodal phase domains, namely the anisotropic Spinodal phase domain and the isotropic Spinodal phase domain. Moreover, the liquid crystal in the anisotropic state strongly repels the flexible polymer. Therefore, the initial phase separation in the anisotropic phase region is much faster than that in the isotropic region and the scattering light intensity is much stronger.