随机行走高分子环形链生成几率的研究

A Study of the Generation Probability of Ring Chain of Random Walked Polymer

建立了两端都被某一不可穿透的吸附壁物理吸附或化学结合的高分子环形链在格点上随行走的物理模型，对环形链的生成几率ＰＮ进行了理论分析和计算机模拟，并讨论了环形链平均链长＜Ｎ＞与最大环形链链长Ｎｍａｘ之间的关系．结果表明，当链长Ｎ不很小时，链长为Ｎ的环形链的生成几率可近似表示为ＰＮａ·Ｎ－１．５，环形链的平均链长与最长环形链的链长近似成正比，其中α是与链模型有关的常数．

A model of ring polymer chains, whose ends are physical adsorbed or chemical combined by some impermeable walls, walk randomly on lattice is made. The generation probability P N of ring polymer chain is theoretical analyzed and computer simulated. The relation between the average ring chain length <N> and the maximum ring chain length N max  of ring polymer chain is discussed. The results show that the generation probability can be expressed approximately as P Na·N -1.5  and the average ring chain length is linear with the maximum ring chain length.