关于相干态随时间的演化

本文用密度矩阵方法研究了相干态在时间演化过程中仍保持为相干态的充要条件.证实Glauber条件是正确的,Kauo的非议是没有根据的,Glauber条件适用于相当一般形式的哈密顿量.     

Self-assembly of lamella-forming diblock copolymers confined in nanochannels: Effect of confinement geometry

The self-assembly of symmetric diblock copolymers confined in the channels of variously shaped cross sections(regular triangles, squares, and ellipses) is investigated using a simulated annealing technique. In the bulk, the studied symmetric diblock copolymers form a lamellar structure with period LL. The geometry and surface property of the confining channels have a large effect on the self-assembled structures and the orientation of the lamellar structures. Stacked perpendicular lamellae with period LLare observed for neutral surfaces regardless of the channel shape and size, but each lamella is in the shape of the corresponding channel’s cross section. In the case of triangle-shaped cross sections, stacked parallel lamellae are the majority morphologies for weakly selective surfaces, while morphologies including a triangular-prism-shaped B-cylinder and multiple tridentate lamellae are obtained for strongly selective surfaces. In the cases of square-shaped and ellipse-shaped cross sections, concentric lamellae are the signature morphology for strongly selective surfaces, whereas for weakly selective surfaces, stacked parallel lamellae, and several types of folding lamellae are obtained in the case of square-shaped cross sections, and stacked parallel lamellae are the majority morphologies in the case of ellipse-shaped cross sections when the length of the minor axis is commensurate with the bulk lamellar period. The mean-square endto-end distance, the average contact number between different species and the surface concentration of the A-monomers are computed to elucidate the mechanisms of the formation of the different morphologies. It is found that the resulting morphology is a consequence of competition among the chain stretching, interfacial energy, and surface energy. Our results suggest that the self-assembled morphology and the orientation of lamellae can be manipulated by the shape, the size, and the surface property of the confining channels.     

双亲三嵌段共聚物PEO-PPO-PEO在水溶液中相行为的理论研究

用自洽平均场理论的谱方法研究了双亲三嵌段共聚物PEO-PPO-PEO的分子量对其在水溶液相行为的影响. 理论预测了各种溶致液晶相的稳定区域. 通过系统地改变聚合物的分子量, 我们给出了各种PEO-PPO-PEO三嵌段共聚物在水溶液中的相图. 此外, 也研究了分子量对自组装结构各组分浓度分布的影响. 发现在给定的温度下, 聚合物的分子量是体系发生相分离的一个重要驱动力. 我们的理论结果与相关的实验很好地符合.     

对称长链和近对称短链两嵌段聚合物混合体系相行为研究

利用自洽平均场理论(SCMFT)系统地研究了对称长链和近对称短链两嵌段聚合物混合体系在纳米尺度下的自组装行为.体系中具有较高聚合度的对称长链熔体处于层状相,聚合度较低的近对称短链熔体处于无序相,而其混合体系却随着两种成分的不同比例呈现出有序-无序相转变、有序-有序相转变及有序-无序两相共存等复杂的相行为,计算结果与近期类似体系的实验有着较好的吻合.同时与两种对称的两嵌段聚合物混合体系的计算结果进行了比较,得出这两种体系的异同之处.     

双嵌段共聚物混合体系形态结构及相变研究

用自洽平均场理论(SCMFT)研究了由两种不同双嵌段共聚物(diblock copolymer)组成的混合体系在纳米尺度下的自组装行为.有较高聚合度的纯diblock1熔体呈层状有序结构;有较低聚合度的纯diblock2熔体呈均匀(无序)相.SCMFT研究表明,在二者的混合体系中,当diblock1的体积分数在0·7~1·0之间时,混合体系呈现层状结构;而当diblock1的体积分数在0·4~0·6之间时,体系呈现六角排布的柱状结构.这一理论研究结论与近期报道的实验结果有较好的吻合.同时,通过混合体系单体密度分布曲线和嵌段的连接点分布曲线,从理论上分析了混合体系中单体分布的细节.