Self-Organized Criticality in Sheared Suspensions

Corté, Laurent; Gerbode, Sharon J.; Man, Weining; Pine, David J.

doi:10.1103/physrevlett.103.248301

Cited by 37 publications

(45 citation statements)

References 16 publications

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“…As in previous reports [11,22], we find that the activity has a rheological signature. The complex viscosity Ã ¼ 0 þ i 00 of a non-Brownian suspension in a Newtonian fluid has an elastic component 00 that depends on the activity [11].…”

supporting

confidence: 91%

Transverse Alignment of Fibers in a Periodically Sheared Suspension: An Absorbing Phase Transition with a Slowly Varying Control Parameter

et al. 2011

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Shearing solutions of fibers or polymers tends to align fiber or polymers in the flow direction. Here, non-Brownian rods subjected to oscillatory shear align perpendicular to the flow while the system undergoes a nonequilibrium absorbing phase transition. The slow alignment of the fibers can drive the system through the critical point and thus promote the transition to an absorbing state. This picture is confirmed by a universal scaling relation that collapses the data with critical exponents that are consistent with conserved directed percolation.

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supporting

confidence: 91%

Transverse Alignment of Fibers in a Periodically Sheared Suspension: An Absorbing Phase Transition with a Slowly Varying Control Parameter

et al. 2011

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“…The saturation of 0 (γ 0 ,∞) for γ 0 > γ c indicates that there exists a limit to which particles can be driven to accumulate along the MCA. This limit results from a competition between collision-induced randomization [29][30][31][32][33] and advection. Thus γ c corresponds to the average strain needed to induce collisions between neighboring particles.…”

Section: Resultsmentioning

confidence: 99%

Far-from-equilibrium sheared colloidal liquids: Disentangling relaxation, advection, and shear-induced diffusion

et al. 2013

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Using high-speed confocal microscopy, we measure the particle positions in a colloidal suspension under large-amplitude oscillatory shear. Using the particle positions, we quantify the in situ anisotropy of the pair-correlation function, a measure of the Brownian stress. From these data we find two distinct types of responses as the system crosses over from equilibrium to far-from-equilibrium states. The first is a nonlinear amplitude saturation that arises from shear-induced advection, while the second is a linear frequency saturation due to competition between suspension relaxation and shear rate. In spite of their different underlying mechanisms, we show that all the data can be scaled onto a master curve that spans the equilibrium and far-from-equilibrium regimes, linking small-amplitude oscillatory to continuous shear. This observation illustrates a colloidal analog of the Cox-Merz rule and its microscopic underpinning. Brownian dynamics simulations show that interparticle interactions are sufficient for generating both experimentally observed saturations.

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“…4,13 Here the volume fraction of the clouds is free to vary. Consequently, as the cloud disperses into the surrounding fluid, the volume fraction decreases until diluting to the threshold critical value for reversibility at that strain amplitude.…”

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confidence: 99%

Clouds of particles in a periodic shear flow

Metzger

Butler

2012

Physics of Fluids

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International audienceWe have investigated the time evolution of a cloud of non-Brownian particles sub- jected to a periodic shear flow in an otherwise pure liquid at low Reynolds number. This experiment illustrates the irreversible nature of particulate systems submitted to a shear. When repeating the cycles of shear, we have found that clouds of particles progressively disperse in the flow direction until reaching a threshold critical volume fraction that depends upon the strain amplitude; this critical volume fraction coin- cides with measurements of the threshold for reversibility found from experiments on homogeneous suspensions in periodic shear. Two distinct patterns, including a “galaxy-like” shape, are observed for the evolution of the clouds and the transi- tion between the patterns is identified using a simple scaling analysis. Movies are available with the online version of the paper

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Self-Organized Criticality in Sheared Suspensions

Cited by 37 publications

References 16 publications

Transverse Alignment of Fibers in a Periodically Sheared Suspension: An Absorbing Phase Transition with a Slowly Varying Control Parameter

Transverse Alignment of Fibers in a Periodically Sheared Suspension: An Absorbing Phase Transition with a Slowly Varying Control Parameter

Far-from-equilibrium sheared colloidal liquids: Disentangling relaxation, advection, and shear-induced diffusion

Clouds of particles in a periodic shear flow

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