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Self-diffusion in dispersions of charged colloidal spheres by generalized hydrodynamics

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  • Bergenholtz, J.
  • Wagner, N.J.

Abstract

The generalized hydrodynamics formalism for the collective and single particle suspension dynamics is solved for dispersions of strongly interacting particles as a function of surface charge. Both collective and single particle properties are compared to results from large-scale Brownian dynamics simulations, enabling the evaluation of the viscoelastic and short-time approximations for the memory functions. Unlike the short-time approximation, the viscoelastic approximation yields good predictions for time-integrated properties, such as shear viscosity and self-diffusion. However, the simplified dynamics inherent in the viscoelastic ansatz are found to be too crude to fully capture the time-evolution of the dynamic structure. At high surface charge the viscoelastic ansatz results in a critical slowing of the self and collective dynamics similar to observations near the ideal glass transition. This behavior is attributed to the self and collective dynamics similar to observations near the ideal glass transition. This behavior is attributed to the self-consistent nature of the solution for the dynamics.

Suggested Citation

  • Bergenholtz, J. & Wagner, N.J., 1997. "Self-diffusion in dispersions of charged colloidal spheres by generalized hydrodynamics," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 34-47.
    • Handle: RePEc:eee:phsmap:v:235:y:1997:i:1:p:34-47
    DOI: 10.1016/S0378-4371(96)00326-3
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    References listed on IDEAS

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    1. Nägele, G. & Medina-Noyola, M. & Klein, R. & Arauz-Lara, J.L., 1988. "Time-dependent self-diffusion in model suspensions of highly charged Brownian particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 149(1), pages 123-163.
    2. Osborn, C. Tim & Liacuna, Felix & Linsenbigler, Michael, 1992. "Conservation Reserve Programs: Enrollment Statistics for Signup Periods, 1-11 and Fiscal Years 1990-92," Statistical Bulletin 154773, United States Department of Agriculture, Economic Research Service.
    3. Denis Segrestin, 1988. "Commentaires de Denis Segrestin," Revue Économique, Programme National Persée, vol. 39(1), pages 181-186.
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