On the density of shear transformations in amorphous solids

Jie Lin, Alaa Saade, Edan Lerner, Alberto Rosso, Matthieu Wyart

    Research output: Contribution to journalArticle

    Abstract

    We study the stability of amorphous solids, focussing on the distribution P(x) of the local stress increase x that would lead to an instability. We argue that this distribution behaves as , where the exponent θ is larger than zero if the elastic interaction between rearranging regions is non-monotonic, and increases with the interaction range. For a class of finite-dimensional models we show that stability implies a lower bound on θ, which is found to lie near saturation. For quadrupolar interactions these models yield for d = 2 and in d = 3 where d is the spatial dimension, accurately capturing previously unresolved observations in atomistic models, both in quasi-static flow and after a fast quench. In addition, we compute the Herschel-Buckley exponent in these models and show that it depends on a subtle choice of dynamical rules, whereas the exponent θ does not.

    Original languageEnglish (US)
    Article number26003
    JournalEPL
    Volume105
    Issue number2
    DOIs
    StatePublished - Jan 2014

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    shear
    exponents
    interactions
    saturation

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Cite this

    Lin, J., Saade, A., Lerner, E., Rosso, A., & Wyart, M. (2014). On the density of shear transformations in amorphous solids. EPL, 105(2), [26003]. https://doi.org/10.1209/0295-5075/105/26003

    On the density of shear transformations in amorphous solids. / Lin, Jie; Saade, Alaa; Lerner, Edan; Rosso, Alberto; Wyart, Matthieu.

    In: EPL, Vol. 105, No. 2, 26003, 01.2014.

    Research output: Contribution to journalArticle

    Lin, J, Saade, A, Lerner, E, Rosso, A & Wyart, M 2014, 'On the density of shear transformations in amorphous solids', EPL, vol. 105, no. 2, 26003. https://doi.org/10.1209/0295-5075/105/26003
    Lin J, Saade A, Lerner E, Rosso A, Wyart M. On the density of shear transformations in amorphous solids. EPL. 2014 Jan;105(2). 26003. https://doi.org/10.1209/0295-5075/105/26003
    Lin, Jie ; Saade, Alaa ; Lerner, Edan ; Rosso, Alberto ; Wyart, Matthieu. / On the density of shear transformations in amorphous solids. In: EPL. 2014 ; Vol. 105, No. 2.
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