Mean-field scenario for the athermal creep dynamics of yield-stress fluids

Abstract

We develop an elasto-plastic description for the transient dynamics prior to steady flow of athermally yielding materials. Our mean-field model not only reproduces the experimentally observed non-linear time dependence of the shear-rate response to an external shear-stress, but also allows for the determination of the different physical processes involved in the onset of the re-acceleration phase after the initial critical slowing down and a distinct well defined fluidization phase. The evidenced power-law dependence of the fluidization time on the distance of the applied to an age dependent static yield stress is not universal but strongly dependent on initial conditions.

8 pages, 4 figures

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• Deformation and flow of amorphous solids: An updated review of mesoscale elastoplastic models
• Creep dynamics of athermal amorphous materials: a mesoscopic approach
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• Orientational Memory of Active Particles in Multistate Non-Markovian Processes
• Stochastic resetting of a population of random walks with resetting-rate-dependent diffusivity
• Mean field theory of yielding under oscillatory shear
• Athermal creep deformation of ultrastable amorphous solids