Individual Entanglements in a Simulated Polymer Melt

Physics – Condensed Matter

Scientific paper

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latex, 12 pages, 7 figures, postscript file available at http://arnold.uchicago.edu/~ebn/

Scientific paper

10.1103/PhysRevE.53.1816

We examine entanglements using monomer contacts between pairs of chains in a Brownian-dynamics simulation of a polymer melt. A map of contact positions with respect to the contacting monomer numbers (i,j) shows clustering in small regions of (i,j) which persists in time, as expected for entanglements. Using the ``space''-time correlation function of the aforementioned contacts, we show that a pair of entangled chains exhibits a qualitatively different behavior than a pair of distant chains when brought together. Quantitatively, about 50% of the contacts between entangled chains are persistent contacts not present in independently moving chains. In addition, we account for several observed scaling properties of the contact correlation function.

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