Classical path analysis of end-grafted dendrimers: Dendrimer forest

I consider a brush consisting of dendritic polymer end-grafted by its initi al segment to a flat, impenetrable surface, in both the molten and solvated cases. The parabolic profile of linear grafted brushes is maintained, but the distribution of the free tips is quite different from the linear brush case. In particular, free ends are comparatively buried in the brush or "fo rest" layer compared to linear chains, an effect which is magnified by goin g to higher and higher generations. There is no appreciable tendency for de ndritic arms to fold backward into the layer, however. The results of the c lassical path analysis compare favorably to lattice self-consistent-field c alculations on the same systems.