Counterion distributions and effective electrostatic interactions between spherical macroions in polyelectrolyte solutions are calculated via second-order perturbation (linear response) theory. By modeling 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.
Counterion penetration and effective electrostatic interactions in solutions of polyelectrolyte stars and microgels.
Published 2003 in Physical review. E, Statistical, nonlinear, and soft matter physics
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- Publication year
2003
- Venue
Physical review. E, Statistical, nonlinear, and soft matter physics
- Publication date
2003-01-28
- Fields of study
Medicine, Physics, Chemistry
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- External record
- Source metadata
Semantic Scholar, PubMed
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