Brushes of Statistically Branched Polymers

We determine the distribution of free ends and the monomer insertion potential in the strongly-stretched limit for regularly and statistically branched polymer brushes. We find that the end density flattens in the limit of very strong branching with a concomitant enhancement of the grafting surface end density. This enhancement ensures for a wide range of parameters that a parabolic potential profile is preserved, even for large positive curvature of the brush surface. This considerably simplifies the analysis of copolymer phases.