An outline is given of the development of kinetic theories for particle segregation in collisional grain flows. Such segregation is shown to be associated with the momentum balance for each species. The simplest theory to describe segregation is based on Maxwellian velocity distributions in which the positions of centers of the colliding particles are distinguished. More refined determinations of the complete pair distribution functions result in a theory with a more complicated structure and the capacity for more accurate prediction.
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