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Generalized depletion potentials

We propose that the behaviour of asymmetric binary fluid mixtures with a large class of attractive or repulsive interparticle interactions can be understood by mapping onto effective non-additive hard-sphere models. The latter are best analysed in terms of their underlying depletion potentials which can be exactly scaled onto known additive ones. By tuning the non-additivity, a wide variety of attractive or repulsive generalized depletion potential shapes and associated phase behaviour can be `engineered', leading, for example, to two ways to stabilize colloidal suspensions by adding smaller particles.