Condensed Matter


Theory of Tracer Diffusion in Concentrated Hard-Sphere Suspensions

Authors: S. S. L. Peppin

A phenomenological theory of diffusion and cross-diffusion of tracer particles in con- centrated hard-sphere suspensions is developed within the context of Batchelor's theory of multicomponent diffusion. Expressions for the diffusion coeffcients as functions of the host particle volume fraction are obtained up to the close-packing limit. In concen- trated systems the tracer diffusivity decreases because of the reduced pore space available for diffusion. Tracer diffusion, and segregation during sedimentation, ceases at a critical trapping volume fraction. The tracer diffusivity can be modelled by a Stokes-Einstein equation with an effective viscosity that depends on the pore size. The tracer cross- diffusion coeffcient increases near the glass transition and diverges in the close-packed limit.

Comments: 20 Pages.

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[v1] 2019-05-16 09:45:07

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