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摘要: 将高分子自洽平均场理论和膜弹性理论结合起来研究高分子锚定流体膜体系,得到了高分子链热力学平衡浓度的分布和膜的形状.由于膜对高分子的不可穿透性,造成高分子可以实现的构象受到限制,导致高分子对膜施加不均匀的熵压,从而锚定点附近的膜弯离高分子,这些结果符合前人的理论分析和蒙特卡罗模拟的结果.此外,考察了膜和高分子链段之间的相互作用,高分子链长以及膜的弯曲刚性、张力对膜形变的影响.
Abstract: By combining the self-consistent field theory for polymers with the Helfrich elasticity theory of membrane, the polymer anchored infinite membrane is investigated. Both the density distribution of the polymer and deformation of the membrane are obtained. Close to the anchoring site,the membrane has the conical shape and bends away from the polymer due to the membrane's impenetrability to the polymer and the confined space for the polymer, which is consistent with previous theoretical results and Monte Carlo simulations. Moreover, the interaction between the membrane and polymer chain length, and the effects of bending rigidity and surface tension on the deformation of the membrane are investigated.