Abstract

Segregation by thermal diffusion of an intruder immersed in a sheared granular gas isanalyzed from the (inelastic) Boltzmann equation. Segregation is induced by the presenceof a temperature gradient orthogonal to the shear flow plane and parallel to gravity. Weshow that, like in analogous systems without shear, the segregation criterion yields atransition between upwards segregation and downwards segregation. The form of thephase diagrams is illustrated in detail showing that they depend sensitively onthe value of gravity relative to the thermal gradient. Two specific situations areconsidered: (i) absence of gravity and (ii) homogeneous temperature. We find thatboth mechanisms (upwards and downwards segregation) are stronger and moreclearly separated when compared with segregation criteria in systems withoutshear.

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