Static and dynamic properties of polymer brush with topological ring structures: Molecular dynamic simulation
Wan Wu-Bing1, 2, Lv Hong-Hong1, 2, Merlitz Holger1, Wu Chen-Xu1, 2, †,
       

The radius of gyration for the z direction versus grafting density for chain length N = 62. ρ* characterizes the critical density for the mushroom regime.(a) Linear polymer brushes, (b) ring polymer brushes with topological constraint value rn = 1, (c) ring polymer brushes with topological constraint value rn = 5, (d) ring polymer brushes with topological constraint value rn = 10. A larger mushroom region and smaller exponent are found as the topological constraint is enhanced.