作为软凝聚物质的膜和泡及其力学

《Mechanics of membrances and vesicles as soft matter》aims at continuing of the theoretical research of ampliphilic membrances of our nation, and struggling for keeping the pioneering level in some respects. After a lengthy analysis, we found that there is a family of shapes involved an analytical solution to the Helfrich theory, previously obtained by Prof. Ou-Yang Zhong-can. Moreover, a new experimentally testable result is yielded. A relation is established between the membrane theory and the classical string theory, and presented all possible cylindrical configurations of classical string with rigidity. In polymers, not only the helical configuration, but also the bistable helices, are ubiquitous. However, no existing theory can give two energy minima, to account for this phenomena. After generalizing the Helfrich theory of elastic filament, we uccessfully explain the co-existance of the bistable helices. Besides, the fund is utilized to support the studies of quantum mechanics. The Fejér average of classical quantity is construced to match the classical limit of the quantum-mechanical ncertaintyrelation.

由双亲分子组成的脂质双层流体膜和泡是软凝聚物质的重要组成，以往对轴对称泡的研究都局限于不完善的方程，我们将从由我国学者导出的完善的轴对称泡方程出发用数值方法求可能的解及相图．我们创造了一种跳跃方法并用计算机找到了奇异形状的膜，这方面的工作我们将深入下去．另外我们将结合最新的实验结果研究光镊下柱状膜的动力学行为．