Topological Theory of Entanglement

Kazuyoshi Iwata · Nihon Reoroji Gakkaishi · 1984

This is a review of ten works so far done by the author. A unified molecular theory of entanglement of ring, linear and network polymers is constructed on the basis of topology of loops. Equilibrium and non-equilibrium topological distribution functions are derived and “topological second virial coefficients” of ring polymers, rigidities of network polymers, frictional coefficient of the centers of entangled linear polymers, etc. are computed and compared with experiments.

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