Force-Extension Curve of an Entangled Polymer Chain:A Superspace Approach  

作　　者：Huan Gong Jian-Feng Li Hong-Dong Zhang An-Chang Shi 

机构地区：[1]The State Key Laboratory of Molecular Engineering of Polymers,Department of Macromolecular Science,Fudan University,Shanghai 200433,China [2]School of Computer Science and Technology,Fudan University,Hamilton,Ontario Canada L8S 4M1 [3]Department of Physics and Astronomy,Mc Master University,Shanghai 200433,China

出　　处：《Chinese Journal of Polymer Science》2021年第11期1345-1350,共6页高分子科学（英文版）

基　　金：financial support from the National Natural Science Foundation of China(Nos.21534002 and 21973018);the Natural Sciences and Engineering Research Council(NSERC)of Canada。

摘　　要：The statistical mechanics of an ideal polymer chain entangled with static topological constraints is studied using a superspace approach,in which the probability distribution of the polymer is obtained as solutions of the Fokker-Planck equation in a superspace with an inner structure characterized by the n-generator free group.The theory predicts that the force-extension curve of the polymer under the topological constraints has the generic form F=kl+Z/l,where l is an effective extension.Aside from the elastic term that is linear in l,the forceextension curve contains a universal term of the form Z/l.The magnitude of this topological term is determined by the topological charge number Z,which characterizes the topological nature of the static constraints.The theoretical results are further verified by a scaling analysis based on a blob model of the chain conformations.

关 键 词：Topological constraints Probability distribution Polymer entanglement 

分 类 号：TQ317[化学工程—高聚物工业]