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Concentration fluctuation effects for dynamics of polymer solutions
Author(s) -
Semenov A. N.
Publication year - 1991
Publication title -
makromolekulare chemie. macromolecular symposia
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.257
H-Index - 76
eISSN - 1521-3900
pISSN - 0258-0322
DOI - 10.1002/masy.19910440129
Subject(s) - reptation , polymer , diffusion , thermodynamics , relaxation (psychology) , amplitude , viscosity , physics , fick's laws of diffusion , statistical physics , materials science , nuclear magnetic resonance , quantum mechanics , psychology , social psychology
Dynamics of concentration fluctuation in a semidilute polymer theta‐solution in the regime of entanglements is studied theoretically. A number of relaxation modes is predicted, the largest amplitude corresponding to a reptation mode with the time , where q is the wave vector, the static correlation length, R the size of a polymer coil. A mode with a “superlong” time N 2 q −2 is predicted for . It is shown also that fluctuations of molecular field result in a substantial decrease of macromolecular curvilinear diffusion constant. The same effect gives rise to an increase of zero‐shear viscosity of the solution; the dependence of viscosity on number of links per chain, N, is much stronger than N 3 in the regime of high N.