ADSORPTION OF POLYMERS ON A RANDOM SURFACE

We investigate the adsorption of a polymer on a planar, random surface . For this we use a generalization of de Gennes's boundary condition t o a random one, and path-integral methods. For weak randomness, the ch ain size is reduced slightly from its value in the absence of randomne ss. But as one increases the randomness or chain length, the chain siz e becomes approximately R, where R is the correlation length of the po tential. If the length or the randomness exceeds a certain critical va lue, the chain is found to collapse in the direction perpendicular to the surface, to a thickness zero, so that it becomes a two-dimensional object.