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Square root singularity in the viscosity of neutral colloidal suspensions at large frequencies

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Abstract

The asymptotic frequency, ω, dependence of the dynamic viscosity of neutral hard-sphere colloidal suspensions is shown to be of the formη 0A(ϕ)(ωτp)-1/2, whereA(ϕ) has been determined as a function of the volume fraction ϕ, for all concentrations in the fluid range,η 0 is the solvent viscosity, andτ p is the Péclet time. For a soft potential it is shown that, to leading order in the steepness, the asymptotic behavior is the same as that for the hard-sphere potential and a condition for the crossover behavior to 1/ωτp, is given. Our result for the hardsphere potential generalizes a result of Cichocki and Felderhof obtained at low concentrations and agrees well with the experiments of van der Werffet al. if the usual Stokes-Einstein diffusion coefficientD 0 in the Smoluchowski operator is consistently replaced by the short-time self-diffusion coefficientD s(ϕ) for nondilute colloidal suspensions.

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Authors and Affiliations

  1. I. R. I. Delft University of Technology, 2629 JB, Delft, The Netherlands

    R. Verberg & I. M. de Schepper

  2. The Rockefeller University, 10021, New York, New York

    M. J. Feigenbaum & E. G. D. Cohen

Authors
  1. R. Verberg
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  2. I. M. de Schepper
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  3. M. J. Feigenbaum
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  4. E. G. D. Cohen
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Verberg, R., de Schepper, I.M., Feigenbaum, M.J. et al. Square root singularity in the viscosity of neutral colloidal suspensions at large frequencies. J Stat Phys 87, 1037–1049 (1997). https://doi.org/10.1007/BF02181269

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  • DOI: https://doi.org/10.1007/BF02181269

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