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Issue 4, 2016
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Spontaneous instabilities and stick-slip motion in a generalized Hébraud–Lequeux model

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Abstract

We revisit the Hébraud–Lequeux (HL) model for the rheology of jammed materials and argue that a possibly important time scale is missing from HL's initial specification. We show that our generalization of the HL model undergoes interesting oscillating instabilities for a wide range of parameters, which lead to intermittent, stick-slip flows under constant shear rate. The instability we find is akin to the synchronization transition of coupled elements that arises in many different contexts (neurons, fireflies, financial bankruptcies, etc.). We hope that our scenario could shed light on the commonly observed intermittent, serrated flows of glassy materials under shear.

Graphical abstract: Spontaneous instabilities and stick-slip motion in a generalized Hébraud–Lequeux model

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Publication details

The article was received on 02 Sep 2015, accepted on 16 Nov 2015 and first published on 16 Nov 2015


Article type: Paper
DOI: 10.1039/C5SM02216A
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Soft Matter, 2016,12, 1230-1237

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    Spontaneous instabilities and stick-slip motion in a generalized Hébraud–Lequeux model

    J. Bouchaud, S. Gualdi, M. Tarzia and F. Zamponi, Soft Matter, 2016, 12, 1230
    DOI: 10.1039/C5SM02216A

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