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Issue 2, 2016
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Cooperativity flows and shear-bandings: a statistical field theory approach

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Abstract

Cooperativity effects have been proposed to explain the non-local rheology in the dynamics of soft jammed systems. Based on the analysis of the free-energy model proposed by L. Bocquet, A. Colin and A. Ajdari, Phys. Rev. Lett., 2009, 103, 036001, we show that cooperativity effects resulting from the non-local nature of the fluidity (inverse viscosity) are intimately related to the emergence of shear-banding configurations. This connection materializes through the onset of inhomogeneous compact solutions (compactons), wherein the fluidity is confined to finite-support subregions of the flow and strictly zero elsewhere. The compacton coexistence with regions of zero fluidity (“non-flowing vacuum”) is shown to be stabilized by the presence of mechanical noise, which ultimately shapes up the equilibrium distribution of the fluidity field, the latter acting as an order parameter for the flow–noflow transitions occurring in the material.

Graphical abstract: Cooperativity flows and shear-bandings: a statistical field theory approach

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Publication details

The article was received on 27 Jul 2015, accepted on 12 Oct 2015 and first published on 13 Oct 2015


Article type: Paper
DOI: 10.1039/C5SM01862E
Soft Matter, 2016,12, 514-530

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    Cooperativity flows and shear-bandings: a statistical field theory approach

    R. Benzi, M. Sbragaglia, M. Bernaschi, S. Succi and F. Toschi, Soft Matter, 2016, 12, 514
    DOI: 10.1039/C5SM01862E

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