摘要
The scaling relations among the mean end-to-end distance of polymer along the channel<R||>,the polymer length N,and the effective diameter of channel De were investigated for flexible and semi-flexible polymer chains confined in long cylindrical channels.For the flexible polymer chain,scaling relation<R||>~NDe–0.7 was found in the classic de Gennes regime at lp2/b<De<Rg with lp the persistence length,b the bond length,and Rg the radius of gyration of polymer.For the semi-flexible polymer,<R||>~NDe–1 in the transition regime lp<De<xlp(x>1)and<R|>~De–0.7 in the classic de Gennes regime at larger De>xlp were observed.The simulation results revealed that the scaling relation in the transition regime was due to the rod-like behavior of the semi-flexible polymer in the small regime lp<De<xlp.
The scaling relations among the mean end-to-end distance of polymer along the channel <R||>, the polymer length N, and the effective diameter of channel De were investigated for flexible and semi-flexible polymer chains confined in long cylindrical channels. For the flexible polymer chain, scaling relation <R||> ～ NDe–0.7 was found in the classic de Gennes regime at lp2/b < De < Rg with lp the persistence length, b the bond length, and Rg the radius of gyration of polymer. For the semi-flexible polymer, <R||> ～ NDe–1 in the transition regime lp < De < xlp（x > 1） and <R|> ～ De–0.7 in the classic de Gennes regime at larger De > xlp were observed. The simulation results revealed that the scaling relation in the transition regime was due to the rod-like behavior of the semi-flexible polymer in the small regime lp < De < xlp.
基金
financially supported by the National Natural Science Foundation of China (Nos. 21574117 and 11674277)
Zhejiang Provincial Natural Science Foundation of China (No. LY16A040004)
