Pair interactions in polyelectrolyte-nanoparticle systems: Influence of dielectric inhomogeneities and the partial dissociation of polymers and nanoparticles

摘要: We study the effective pair interactions between two charged spherical particles in polyelectrolyte solutions using polymer self-consistent field theory. In a recent [V. Pryamitsyn and V. Ganesan, Macromolecules 47, 6095 (2015)], we considered model which possess fixed charge density, polymers contain prespecified amount of dissociated charges and, dielectric constant solution was assumed to be homogeneous space independent concentration. this article, present results extending our earlier situations either or both particle partially dissociable groups. Additionally, also consider case when depends on local concentration particle's is lower than that solvent. For each case, quantify polymer-mediated as function concentrations degree dissociation particles. Consistent with previous study, observe interparticle consist short-range attraction long-range repulsion. The partial dissociablity seen have strong influence strength repulsive portion interactions. Rendering permittivity inhomogeneous has an even stronger effect changes qualitative nature some parametric ranges.