title: Eccentric poisson-boltzmann cell model
abstract: We solve the nonlinear Poisson-Boltzmann equation around a charged colloidal sphere in an electrolyte that is confined in a cell. The colloid has an eccentric position inside the confining sphere. This models the situation in a highly concentrated charge-stabilized colloidal suspension, where a single colloid simultaneously interacts with the whole cage of neighboring colloids. We calculate the ion density profiles, the free energy, and the osmotic pressure as a function of the shifting position. We express the total force acting on the particle as a sum of pair contributions and compare the resulting pair interaction potential law with the standard Derjaguin-Landau-Verwey-Overbeck expression.
authors.affiliation: Fakultat fur Physik, Universitat Konstanz, 78457 Konstanz, Germany.
authors.lastname: von Grunberg HH
authors.initials: L
authors.lastname: Belloni