Abstract
Long-time tails in the velocity autocorrelation functions of colloidal particles immersed in fluid have been predicted for some time, and recently observed in experiments using diffusing-wave spectroscopy. We compute the linear effect of finite concentration of particles on the low-frequency (${\mathrm{\ensuremath{\omega}}}^{1/2}$) correction to the mobility of one colloidal particle, and hence the effect on the long-time tails, using a reflection method. The results are consistent with general arguments for the form of long-time tails in an effective medium.
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