Thermodynamic Limitations of the Reptation Model |
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Authors: | Nail Fatkullin Rainer Kimmich |
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Affiliation: | 1. Kazan State University, Physics Department, 420008, Kazan, Russia/Tatarstan;2. Universität Ulm, Sektion Kernresonanzspektroskopie, 89069 Ulm, Germany |
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Abstract: | Summary: The paper deals with the question whether the tube/reptation model of polymer chain dynamics is compatible with general laws of statistical physics. Based on a relation between the mean squared fluctuation of the number of segments in a given volume element and the isothermal compressibility of the polymer system, it follows straightforwardly that the tube/reptation model predicts fluctuations larger than permitted by thermodynamics on the time scale t ≳ τR, where τR is the Rouse relaxation time. |
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Keywords: | chain dynamics fluctuations polymer melts reptation thermodynamics |
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