| Abstract
| - We investigate a system of dense polyelectrolytes in solution. The Langevin dynamics ofthe system with linearized hydrodynamics is formulated in the functional integral formalism and atransformation made to collective coordinates. Within a dynamical random phase approximation (RPA)integration over the counterions and salt ions produces the Debye−Hückel-like screening of the Coulombinteractions with dependence on the frequency only as part of a more complicated coupling structure.We investigate the dynamics of the structure factor as well as the collective diffusion coefficient andcomment upon the viscosity of the whole system of polymers with counterions and fluid in the simplestapproximation. The coupling of the various components of the system produces nontrivial diffusivebehavior. We draw conclusions about the relationship of the three length scales in the present system,i.e., the static screening length, the hydrodynamic screening length, and the Debye length.
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