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An extension of the renormalized Jellium model which allows to studycolloidal suspensions containing trivalent counterions is proposed. The theoryis based on a modified Poisson-Boltzmann equation which incorporates theeffects of counterion correlations near the colloidal surfaces using a newboundary condition. The renormalized charges, the counterion density profiles,and osmotic pressures can be easily calculated using the modified renormalizedJellium model. The results are compared with the ones obtained using thetraditional Wigner-Seitz (WS) cell approximation also with a new boundarycondition. We find that while the thermodynamic functions obtained within therenormalized Jellium model are in a good agreement with their WS counterpart,the effective charges predicted by the two theories can be significantlydifferent.

The renormalized Jellium model of colloidal suspensions with multivalent counterions