Hydrodynamic approximations for driven dense colloidal mixtures in narrow pores

Abstract

The system of driven dense colloid mixtures is studied in one-, two- and three-dimensional geometries. We calculate the diffusion coefficients and mobilities for each particle type, including cross-terms, in a hydrodynamic limit, using a mean-field-type approximation. The set of non-linear diffusion equations are then solved. In one dimension, analytical results are possible. We show that in mixtures, the ``Brazil nut'' phenomenon, or depletion of larger particles by force of smaller ones, appears quite generically. We calculate the ratchet current and quantify the capability of sorting particles according to their size. We also indicate that the ``Brazil nut'' effect lies behind the possibility of perfect separation, where large and big particles travel in strictly opposite direction.

16 pages, 14 figures

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Cited by in corpus (3)

• Nonequilibrium protection effect and spatial localization of noise-induced fluctuations: Quasi-one-dimensional driven lattice gas with partially penetrable obstacle
• Jamming of active particles in narrow pores: Implications for ratchet effect and diffusion coefficient
• Ratchet effect and jamming in dense mixtures of active and passive colloids in narrow pores