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Thermodynamic Limitations of the Reptation Model
Author(s) -
Fatkullin Nail,
Kimmich Rainer
Publication year - 2006
Publication title -
macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 1022-1360
DOI - 10.1002/masy.200650508
Subject(s) - reptation , thermodynamics , statistical physics , compressibility , isothermal process , tube (container) , physics , polymer , materials science , nuclear magnetic resonance , composite material
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 ≳ τ R , where τ R is the Rouse relaxation time.