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Issue 20, 2017
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Scaling description of non-local rheology

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The plastic flow of amorphous materials displays non-local effects, characterized by a cooperativity length scale ξ. We argue that these effects enter in the more general description of surface phenomena near critical points. Using this approach, we obtain a scaling relation between exponents that describe the strain rate profiles in shear driven and pressure driven flow, which we confirm both in numerical models and experimental data. We find empirically that the cooperative length follows closely the characteristic length previously extracted in homogenous bulk flows. This analysis shows that the often used mean field exponents fail to capture quantitatively the non-local effects. Our analysis also explains the unusually large finite size effects previously observed in pressure driven flows.

Graphical abstract: Scaling description of non-local rheology

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Publication details

The article was received on 01 Mar 2017, accepted on 28 Apr 2017 and first published on 08 May 2017

Article type: Paper
DOI: 10.1039/C7SM00434F
Soft Matter, 2017,13, 3794-3801

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    Scaling description of non-local rheology

    T. Gueudré, J. Lin, A. Rosso and M. Wyart, Soft Matter, 2017, 13, 3794
    DOI: 10.1039/C7SM00434F

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