Effect of dielectric inhomogeneity in aggregation of multiple charged Nanoparticles and Polyelectrolyte

We study the structural characteristics in a system of charged nanoparticles in an oppositely charged polyelectrolyte solution, and the effect of their low dielectric constant than the solvent. We have used a hybrid computational method of combined single chain in mean field theory and the solution of general Poisson-Boltzmann equation. Charged particles experience increased repulsion in case of inhomogeneous dielectric constant leading to less aggregation in the system. In the presence of oppositely charged polymers with low dielectric constant, the behavior becomes more complex and interesting due to the interplay of electrostatic and depletion effects. We study the effect of charge of the particle and polymers, volume fraction of particle and concentration of polymer on the aggregation properties in terms of radial distribution function and cluster distribution function.