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Thermodynamic Limitations of the Reptation Model
Authors:Nail Fatkullin  Rainer Kimmich
Affiliation:1. Kazan State University, Physics Department, 420008, Kazan, Russia/Tatarstan;2. Universität Ulm, Sektion Kernresonanzspektroskopie, 89069 Ulm, Germany
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.
Keywords:chain dynamics  fluctuations  polymer melts  reptation  thermodynamics
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