Toward a microscopic description of flow near the jamming threshold

E. Lerner, G. Düring, M. Wyart

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    Abstract

    We study the relationship between microscopic structure and viscosity in non-Brownian suspensions. We argue that the formation and opening of contacts between particles in flow effectively leads to a negative selection of the contacts carrying weak forces. We show that an analytically tractable model capturing this negative selection correctly reproduces scaling properties of flows near the jamming transition. In particular, we predict that i) the viscosity η diverges with the coordination number z as η(z cz) (3+θ)/(1+θ), ii) the operator which governs flow displays a low-frequency mode that controls the divergence of viscosity, at a frequency ω min(z cz) (3+θ)/(2+2θ), and iii) the distribution of forces displays a scale f* that vanishes near jamming as f*/f(z cz) 1/(1+θ) where θ characterizes the distribution of contact forces P(f)f θ at jamming, and where z c is the Maxwell threshold for rigidity.

    Original languageEnglish (US)
    Article number58003
    JournalEPL
    Volume99
    Issue number5
    DOIs
    StatePublished - Sep 1 2012

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    ASJC Scopus subject areas

    • Physics and Astronomy(all)

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