Self-diffusion coefficients of charged particles: Prediction of Nonlinear volume fraction dependence

Details Self-diffusion coefficients of charged particles: Prediction of Nonlinear volume fraction dependence Self-diffusion coefficients of charged particles: Prediction of Nonlinear volume fraction dependence

1997-07-28

arxiv.org/abs/cond-mat/9707282v1

Phys. Rev. E 56, 1258 (1997)

Physics

Condensed Matter

Soft Condensed Matter

8 pages, LaTeX, 3 Postscript figures included using epsf

Scientific paper

10.1103/PhysRevE.56.1258

We report on calculations of the translational and rotational short-time self-diffusion coefficients $D^t_s$ and $D^r_s$ for suspensions of charge-stabilized colloidal spheres. These diffusion coefficients are affected by electrostatic forces and many-body hydrodynamic interactions (HI). Our computations account for both two-body and three-body HI. For strongly charged particles, we predict interesting nonlinear scaling relations $D^t_s\propto 1-a_t\phi^{4/3}$ and $D^r_s\propto 1-a_r\phi^2$ depending on volume fraction $\phi$, with essentially charge-independent parameters $a_t$ and $a_r$. These scaling relations are strikingly different from the corresponding results for hard spheres. Our numerical results can be explained using a model of effective hard spheres. Moreover, we perceptibly improve the known result for $D^t_s$ of hard sphere suspensions.

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