模型高分子环形链的构象统计理论

Configurational Statistics of Model Polymer Loop

模型高分子环形链的构象统计理论吴大诚，杜鹏，康健（成都科技大学纺织工学院，成都，６１００６５）关键词高分子构象，环形链，随机行走在前文中［１，２］我们曾较系统地讨论过模型高分子尾形链的构象统计学，假定高分子链的两端都被某一界面物理吸附或化学结合，所形...

A polymer chain in which two ends are attached at an interface boundary physically or chemically is called as a polymer loop. Based on the normal random walk(NRW)in the simple cubic lattice,the available conformational number C(N)of a model polymer loop with the chain length N can be obtained from the available conformational number of the corresponding polymer tail. It was shown that the number C (N)≈6 N/2(6лN 3) 1/2, where 6 Nis the conformational number of a free chain with the length N.The computer ''experiments'including the exact enumeration and the Monte Carlo simulation were used for the comparison with the theory. This result gives a formal reference frame to compare with the conformation of the more complicated model or the real polymer loop.