Polymers tethered to an inflexible line

The scaling theory discussed above for stars can also be apphed to chains grafted to a hne. Each branch or arm is again treated as a series of spherical blobs. Since the volume accessible at a radial distance r from the grafting line increases, the monomer density decreases and the size of the blobs increases with r. At a distance r from the grafting line, a cylinder of length L has piL blobs of radius (r) covering a cross-sectional area of Lr. Therefore the blob radius, 

Each blob contains monomers and the monomer density falls off as 

In the simple blob picture, the free ends are assumed to be within the last blob. Analytic solutions of the SCF equations, both for polymers in solu- 

---