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

    ASJC Scopus subject areas

    • Physics and Astronomy(all)

    Fingerprint Dive into the research topics of 'On the density of shear transformations in amorphous solids'. Together they form a unique fingerprint.

  • 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