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Within the framework of a discrete Gaussian model, we present analyticalresults for the interaction induced by a lamellar phase between small embeddedcolloids. We consider the two limits of particles strongly adherent to theadjacent membranes and of particles impenetrable to the membranes. Our approachtakes into account the finite size of the colloids, the discrete nature of thelayers, and includes the Casimir-like effect of fluctuations, which is veryimportant for dilute phases. Monte Carlo simulations of the statisticalbehavior of the membrane-interacting colloids account semi-quantitatively,without any adjustable parameters, for the experimental data measured on silicananospheres inserted within lyotropic smectics. We predict the existence offinite-size and densely packed particle aggregates originating from thecompetition between attractive interactions between colloids in the same layerand repulsion between colloids one layer apart.

Interaction and self-assembly of membrane-binding and membrane-excluding colloids embedded in lamellar phases