Statics and dynamics in spherical poly-electrolytes

Statics and dynamics of globular poly-electrolytes are studied in the framework of the primitive model. All particle, poly-ions and ions, are taken explicitly into account and are considered as charged hard-spheres. In the first part A, the equilibrium and structural properties are calculated with the hyper-netted chain integral equation. The strong accumulation of counterions near the poly-ion surface is studied in terms of condensation. In the large charge regime, the primitive model leads to a liquid-gas like phase separation. The theoretical scattering spectra improve the results of the classical one-component model. Specific applications are presented for micellar solutions. Some improvements of the HNC equation are discussed. In the second part B, the diffusional modes are calculated with the multi-component Smoluchowski equation or with the normal modes macroscopic theory. The non-instantaneous diffusion of ions decreases the velocity of macromolecules, especially at low salinity. The hydrodynamic interactions in concentrated solutions are studied with the screened Navier-Stokes equation. Lastly, the ionic relaxation around colloids is discussed qualitatively. (author)