具有排除体积的两维高分子链的静态标度律

Static scaling law of two-dimensional macromolecular chains with excluded volume

运用四位置模型对具有排除体积的两维高分子链进行MonteCarlo模拟和标度分析．为了提高长链的抽样效率，还提出了被称为“链段伸展法”的抽样方法．对单个自避行走（SAW）链的模拟结果表明，两维SAW链有着明显不同于无规飞行（RW）链以及三维SAW链的特点．多链体系中，排除体积效应随浓度上升而被逐渐屏蔽．两维高分子亚浓溶液中的链尺寸与溶液浓度成反比．

Two dimensional macromolecular chains with excluded volume are studied withMonte Carlo simulation based on four-site bond fluctuation model and corresponding scalinganalysis is carried out. A novel sampling method,called'segment extension method', is putforward in order to enhance the sampling effciency of long chain. A simulation for single selfavoiding walk(SAW)chain show that two-dimensional SAW chain has a quite different character with both RW chain and three-dimensional SAW chain. The excluded volume effect inthe multiple-chain system is gradually screened out with increasing the segment Concentration. The chain size in the semi-dilute solution is in inverse proportion to the segment concentration for the two-dimensional SAw chains.