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Time-dependent self-diffusion in model suspensions of highly charged Brownian particles

Author

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  • Nägele, G.
  • Medina-Noyola, M.
  • Klein, R.
  • Arauz-Lara, J.L.

Abstract

A quantitative comparison is reported between the predictions of two theories of the time-dependent self-diffusion properties of suspensions of highly charged Brownian particles. The first theory, based on the overdamped N-body Fokker-Planck dynamics, involves a mode-mode coupling approximation for the time-dependent self-friction function, whereas the second one makes use of short-time conditions derived from the N-body Smoluchowski equation. In both cases, the relevant dynamic properties can be expressed in terms solely of the radial distribution function g(r). This quantity is first calculated using the rescaled mean spherical approximation (RMSA). By comparing with computer simulation results for g(r), it is found that the RMSA becomes increasingly inaccurate as the freezing transition is approached. We observe, however, that the RMSA itself provides a device to fit the simulation results for g(r). Using this procedure, the time-dependent self-diffusion coefficient, calculated from both theories, is in good agreement with Brownian dynamics simulations.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:phsmap:v:149:y:1988:i:1:p:123-163
    DOI: 10.1016/0378-4371(88)90211-7
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    Citations

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    Cited by:

    1. Nägele, Gerhard & Baur, Peter, 1997. "Long-time dynamics of charged colloidal suspensions: hydrodynamic interaction effects," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 297-336.
    2. 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.
    3. Krause, R. & Arauz-Lara, J.L. & Nägele, G. & Ruiz-Estrada, H. & Medina-Noyola, M. & Weber, R. & Klein, R., 1991. "Statics and tracer-diffusion in binary suspensions of polystyrene spheres: experiment vs. theory," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 178(2), pages 241-279.
    4. Nägale, Gerhard & Baur, Peter & Klein, Rudolf, 1996. "Non-exponential relaxation of density fluctuations in strongly interacting colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 231(1), pages 49-61.
    5. Watzlawek, M. & Nägele, G., 1997. "Short-time rotational diffusion in monodisperse charge-stabilized colloidal suspensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 235(1), pages 56-74.

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