Publikation: Intermolecular structure factors of macromolecules in solution : integral equation results
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The intermolecular structure of semidilute polymer solutions is studied theoretically. The low-density limit of a generalized Ornstein Zernicke integral equation approach to polymeric liquids is considered. Scaling laws for the dilute-to-semidilute crossover of the random-phase approximation (RPA)-like structure are derived for the intermolecular structure factor on large distances when intermolecular excluded volume is incorporated at the microscopic level. This leads to a nonlinear equation for the excluded volume interaction parameter. For macromolecular size-mass scaling exponents n above a spatial-dimension dependent value, vc= 2/d, meanfield-like density scaling is recovered, but for v
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FUCHS, Matthias, M. MÜLLER, 1999. Intermolecular structure factors of macromolecules in solution : integral equation results. In: Physical Review E. 1999, 60(2), pp. 1921-1929. Available under: doi: 10.1103/PhysRevE.60.1921BibTex
@article{Fuchs1999Inter-9081,
year={1999},
doi={10.1103/PhysRevE.60.1921},
title={Intermolecular structure factors of macromolecules in solution : integral equation results},
number={2},
volume={60},
journal={Physical Review E},
pages={1921--1929},
author={Fuchs, Matthias and Müller, M.}
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<dcterms:abstract xml:lang="eng">The intermolecular structure of semidilute polymer solutions is studied theoretically. The low-density limit of a generalized Ornstein Zernicke integral equation approach to polymeric liquids is considered. Scaling laws for the dilute-to-semidilute crossover of the random-phase approximation (RPA)-like structure are derived for the intermolecular structure factor on large distances when intermolecular excluded volume is incorporated at the microscopic level. This leads to a nonlinear equation for the excluded volume interaction parameter. For macromolecular size-mass scaling exponents n above a spatial-dimension dependent value, vc= 2/d, meanfield-like density scaling is recovered, but for v</dcterms:abstract>
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