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Like-charged macromolecules repel in electrolyte solutions that contain small (i.e. point-like)monovalent co- and counterions. Yet, if the mobile ions of one species are spatially extended instead ofbeing point-like, the interaction may turn attractive. This effect can be captured within the mean-fieldPoisson-Boltzmann framework if the charge distribution within the spatially extended ions is accountedfor. This has been demonstrated recently for rod-like ions. In the present work, we consider an electrolytesolution that is composed of monovalent point-like salt ions and uniformly charged spherical colloids,sandwiched between two planar like-charged surfaces. Minimization of the mean-field free energy yieldsan integral-differential equation for the electrostatic potential that we solve numerically within the linearDebye-Hückel limit. The free energy, which we calculate from the potential, indeed predicts attractive interactionsfor sufficiently large spherical colloids. We derive an approximate analytical expression for thecritical colloid size, above which attraction between like-charged surfaces starts to emerge. (doi:10.5562/cca1824

Attraction between Like Charged Surfaces Mediated by Uniformly Charged Spherical Colloids in a Salt Solution