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SCIENCE CHINA Physics, Mechanics & Astronomy, Volume 62 , Issue 10 : 107006(2019) https://doi.org/10.1007/s11433-019-9401-x

Concentrated suspensions of Brownian beads in water: dynamic heterogeneities through a simple experimental technique

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  • ReceivedJan 31, 2019
  • AcceptedMar 27, 2019
  • PublishedJun 19, 2019
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Abstract


References

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  • Figure 1

    (Color online) For a sample at volume fraction, $\Phi=0.71$, (a), (b) two frames of a portion of a sample separated by a time-lag, $\Delta~t$=10 s. (c) The resulting differential frame and (d) the square of this latter (color-scales as indicated). (e) Sequence of square differential frames at different times-lags, $\Delta~t$, as indicated (color-scale as in panel (d)). (f) Average intensity variance of differential frames, $V$, as a function of the lag-time $\Delta~t$. The dashed line indicates the long time plateau $V_{\infty}$. (g) For samples at different volume fractions, $\Phi=0.65,~0.71,~0.77,~0.79$ (from left to right): DVA dynamic order parameter, $Q(\Delta~t)$. Solid lines are Kohlrausch-Williams-Watts fit to the late decay. (h) Dynamic susceptibility, $\chi_4$, as function of the time-lag $\Delta~t$. (i) Relaxation time, $\tau$, and the time corresponding the maximum susceptibility, $\Delta~t^*$, as a function of $\Phi$. $\tau$ is fitted by a power-law $\propto~(\Phi_c-\Phi)^{-\gamma}$ (solid line), with $\gamma=2.5\pm0.2$. Inset: maximum dynamic susceptibility, $\chi_4^*$, as a function of the volume fraction, $\Phi$. The solid line is a power-law $~\propto~(\Phi_c-\Phi)^{-\alpha}$, with $\alpha=0.9\pm0.1$. Adapted from ref. [27]under a Creative Commons Attribution 4.0 International License.

  • Figure A2

    (Color online) ACII (solid line) and DVA (dashed line) dynamic order parameter as a function of $\Delta~t$ and for volume fractions, $\phi=0.65$, $0.71$ and $0.79$, from left to right, respectively.