Tracer diffusion in shear flow

Abstract
The Boltzmann-Lorentz equation for Maxwell molecules is used to study tracer diffusion in uniform shear flow. It is shown that some values of the mass ratio may prevent the establishment of a hydrodynamic regime. In the region where a hydrodynamic solution exists, a diffusion tensor has been derived by considering terms up to first order in the tracer concentration gradient. This tensor is a highly nonlinear function of both the shear rate and the mass ratio. A comparison with earlier results has been performed.

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