%0 Journal Article %T Power law viscoelasticity of a fractal colloidal gel %+ Laboratoire Charles Coulomb (L2C) %A Aime, Stefano %A Cipelletti, Luca %A Ramos, Laurence %Z . Réf Journal: Journal of Rheology, 62, 1429-1441 (2018) %< avec comité de lecture %Z L2C:18-149 %@ 0148-6055 %J Journal of Rheology %I American Institute of Physics %V 62 %P 1429-1441 %8 2018 %D 2018 %Z 1802.03820 %R 10.1122/1.5025622 %Z Physics [physics]/Condensed Matter [cond-mat]/Soft Condensed Matter [cond-mat.soft]Journal articles %X Power law rheology is of widespread occurrence in complex materials that are characterized by the presence of a very broad range of microstructural length and time scales. Although phenomenological models able to reproduce the observed rheological features exist, in general a well-established connection with the microscopic origin of this mechanical behavior is still missing. As a model system, this work focuses on a fractal colloidal gel. We thoroughly characterize the linear power law rheology of the sample and its age dependence. We show that at all sample ages and for a variety of rheological tests the gel linear viscoelasticity is very accurately described by a Fractional Maxwell (FM) model, characterized by a power law behavior. Thanks to a unique set-up that couples small-angle static and dynamic light scattering to rheological measurements, we demonstrate that the power law rheology observed in the linear regime originates from reversible non-affine rearrangements and discuss the possible relationship between the FM model and the microscopic structure of the gel. %G English %L hal-01889803 %U https://hal.science/hal-01889803 %~ CNRS %~ OPENAIRE %~ L2C %~ MIPS %~ UNIV-MONTPELLIER %~ ANR %~ UM-2015-2021