Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2004-05-14
Physics
Condensed Matter
Soft Condensed Matter
9 pages, 9 figures (2 figures added in the revise version)
Scientific paper
10.1063/1.1797193
A self-consistent mode-coupling theory is presented for the viscosity of solutions of charged rod-like polymers. The static structure factor used in the theory is obtained from polymer integral equation theory; the Debye-H\"{u}ckel approximation is inadequate even at low concentrations. The theory predicts a non-monotonic dependence of the reduced excess viscosity, $\eta_R$, on concentration from the behaviour of the static structure factor in polyelectrolyte solutions. The theory predicts that the peak in $\eta_R$ occurs at concentrations slightly lower than the overlap threshold concentration, $c^\ast$. The peak height increases dramatically with increasing molecular weight and decreases with increased concentrations of added salt. The position of the peak, as a function of concentration divided by $c^\ast$ is independent of salt concentration or molecular weight. The predictions can be tested experimentally.
Bagchi Biman
Miyazaki Kunimasa
Yethiraj Arun
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