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On chirality and length-dependent potentials in polymer entanglements. (English) Zbl 1145.82363

Summary: The lineal structure of an entangled polymer of length \(L\) is simulated by a potential, \(V= \dot f(s)\vartheta\), where, \(\dot f = df/ds\), \(0\leqslant s\leqslant L\), and \(f(s)\) a modulating function. Entanglement probabilities calculated for two cases, (a) \(f(s)=k\cos(\nu s)\), and (b) \(f(s)=ks^p\), show a significant influence of chirality or “handedness”.

MSC:

82D60 Statistical mechanics of polymers
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