Physics – Condensed Matter – Soft Condensed Matter
Scientific paper
2003-02-28
Phys. Rev. E 67, 011804 (2003)
Physics
Condensed Matter
Soft Condensed Matter
15 pages, 5 figures
Scientific paper
10.1103/PhysRevE.67.011804
Counterion distributions and effective electrostatic interactions between spherical macroions in polyelectrolyte solutions are calculated via second-order perturbation (linear response) theory. By modelling the macroions as continuous charge distributions that are permeable to counterions, analytical expressions are obtained for counterion profiles and effective pair interactions in solutions of star-branched and microgel macroions. The counterions are found to penetrate stars more easily than microgels, with important implications for screening of bare macroion interactions. The effective pair interactions are Yukawa in form for separated macroions, but are softly repulsive and bounded for overlapping macroions. A one-body volume energy, which depends on the average macroion concentration, emerges naturally in the theory and contributes to the total free energy.
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