S F Edwards and J W V Grant 1973 J. Phys. A: Math. Nucl. Gen. 6 1169 doi:10.1088/0305-4470/6/8/012
S F Edwards and J W V Grant
Show affiliationsThe 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.
Issue 8 (1 August 1973)
S F Edwards and J W V Grant 1973 J. Phys. A: Math. Nucl. Gen. 6 1169
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