Abstract. The motion of a macromolecule in a polymer melt is considerably restricted by interchain entanglements. This paper considers the topological constraints on the motion of a chain using the Wiener integral model. Two methods are considered: (i) a pipe constraint, (ii) the exact topological invariants. A Smoluchowsky-like equation is obtained by both methods and it is found that a point r(s,t) on the chain has a correlation function ((r(s,t)-r(s,t))²) varies as mod t-t' mod ^1/4 as opposed to the mod t-t mod ^1/2 dependence of a free Rouse-like chain. The type of diffusion considered is called cooperative diffusion and is contrasted to the reptative diffusion of de Gennes.

Print publication: Issue 8 (1 August 1973)