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Time domain effects in the single‐chain dynamics of semidilute and concentrated polymer solutions
Author(s) -
Tchesskaya Tatyana Yu.
Publication year - 2007
Publication title -
journal of applied crystallography
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.429
H-Index - 162
ISSN - 1600-5767
DOI - 10.1107/s0021889806053374
Subject(s) - chain (unit) , crossover , dynamics (music) , polymer , statistical physics , correlation function (quantum field theory) , tensor (intrinsic definition) , physics , mathematics , computer science , quantum mechanics , nuclear magnetic resonance , acoustics , artificial intelligence , dielectric , pure mathematics
Single‐chain dynamics in semidilute polymer solutions is Zimm‐like on short time scales and Rouse‐like on long time scales. The crossover is due to time‐dependent screening of hydrodynamic interactions. We present a generalized Zimm theory for polymer dynamics in an elastic polymer network. We show that the coupled equations of motion of the polymer network–fluid system lead to a generalized Oseen tensor with a time‐dependent hydrodynamic screening length. The time correlation function of the Rouse modes, monomer mean‐square displacements and the single‐chain dynamical structure factor are calculated.