高等学校化学学报 ›› 1992, Vol. 13 ›› Issue (1): 129.

• 论文 • 上一篇    下一篇

无规行走链回转半径几率分布函数的计算

吴绍曾, 张程祥   

  1. 吉林大学物理系, 长春, 130023
  • 收稿日期:1990-12-31 出版日期:1992-01-24 发布日期:1992-01-24
  • 通讯作者: 吴绍曾

Calculation of the Distribution Function of the Radius of Gyration for Random Walk Chains

WU Shao-zeng, ZHANG Cheng-xiang   

  1. Department of Physics, Jilin University, Changchun, 130023
  • Received:1990-12-31 Online:1992-01-24 Published:1992-01-24

摘要: 使用无规行走模型,得到了线状分子链回转半径几率分布函数各阶矩的一般表达式。当链段数趋向无穷大时,无规行走链与Gauss链的渐近行为一致。本文还给出了无规行走链回转半径各阶矩的近似计算方法以及2阶矩、4阶矩、6阶矩与链段数关系的严格解析表达式。

关键词: 无规行走链, 回转半径, 几率分布函数

Abstract: General expressions of the moments of the distribution function of the radius of gyration for linear chains were obtained by using the random walk model.It was proved that for the long chains, the asymptotic result is the same as that of Gaussian chains.An approximation method for calculating the moments of distribution function is given and explicit expressions for the first three moments are obtained.

Key words: Random walk chain, Radius of gyration, Probability distribution function

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