%0 Journal Article %T Length scale dependence of dynamical heterogeneity in a colloidal fractal gel %+ Laboratoire des colloïdes, verres et nanomatériaux (LCVN) %A Duri, Agnes %A Cipelletti, Luca %Z Revised and improved, to appear in Europhys. Lett. %< avec comité de lecture %@ 0295-5075 %J EPL - Europhysics Letters %I European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing %V 76 %N 5 %P 972 %8 2006-12-01 %D 2006 %Z cond-mat/0606051 %R 10.1209/epl/i2006-10357-4 %K glassy dynamics %K dynamical heterogeneity %K gel %K colloids %K light scattering %Z 82.70.Dd, 64.70.Pf, 82.70.Gg, 61.43.Hv %Z Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]Journal articles %X We use time-resolved dynamic light scattering to investigate the slow dynamics of a colloidal gel. The final decay of the average intensity autocorrelation function is well described by $g_2(q,\tau)-1 \sim \exp[-(\tau/\tau_\mathrm{f})^p]$, with $\tau_\mathrm{f} \sim q^{-1}$ and $p$ decreasing from 1.5 to 1 with increasing $q$. We show that the dynamics is not due to a continuous ballistic process, as proposed in previous works, but rather to rare, intermittent rearrangements. We quantify the dynamical fluctuations resulting from intermittency by means of the variance $\chi(\tau,q)$ of the instantaneous autocorrelation function, the analogous of the dynamical susceptibility $\chi_4$ studied in glass formers. The amplitude of $\chi$ is found to grow linearly with $q$. We propose a simple --yet general-- model of intermittent dynamics that accounts for the $q$ dependence of both the average correlation functions and $\chi$. %G English %2 https://hal.science/hal-00078005v2/document %2 https://hal.science/hal-00078005v2/file/Duri_revised.pdf %L hal-00078005 %U https://hal.science/hal-00078005 %~ CNRS %~ UNIV-MONTP2 %~ LCVN %~ UNIV-MONTPELLIER %~ INRAE %~ UM1-UM2