Title: Attractive carbon black dispersions: structural and mechanical responses to shear

Abstract: The rheological behavior of colloidal dispersions is of paramount importance in a wide range of applications, including construction materials, energy storage systems and food industry products. These dispersions consistently exhibit non-Newtonian behaviors, a consequence of intricate interplays involving colloids morphology, volume fraction, and inter-particle forces. Understanding how colloids structure under flow remains a challenge, particularly in the presence of attractive forces leading to clusters formation. In this study, we adopt a synergistic approach, combining rheology with ultra small-angle X-ray scattering (USAXS), to probe the flow-induced structural transformations of attractive carbon black (CB) dispersions and their effects on the viscosity. Our key findings can be summarized as follow. First, testing different CB volume fractions, in the high shear rate hydrodynamic regime, CB particles aggregate to form fractal clusters. Their size conforms to a power law of the shear rate, $\xi_c \propto \dot{\gamma}^{-m}$, with $m\simeq 0.5$. Second, drawing insights from the fractal structure of clusters, we compute an effective volume fraction $\phi_{\mathrm{eff}}$ and find that microstructural models adeptly account for the hydrodynamic stress contributions. We identify a critical shear rate $\dot{\gamma^*}$ and a critical volume fraction $\phi_{\mathrm{eff}}^{*}$, at which the clusters percolate to form a dynamical network.