Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition

ORAL

Abstract

We study the shear jamming of athermal frictionless soft spheres, and find that in the thermodynamic limit, a shear-jammed state exists with different elastic properties from the isotropically-jammed state. For example, shear-jammed states can have a non-zero residual shear stress in the thermodynamic limit that arises from long-range stress-stress correlations. As a result, the ratio of the shear and bulk moduli, which in isotropically-jammed systems vanishes as the jamming transition is approached from above, instead approaches a constant. Despite these striking differences, we argue that in a deeper sense, the shear jamming and isotropic jamming transitions actually have the same symmetry, and that the differences can be fully understood by rotating the six-dimensional basis of the elastic modulus tensor.

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Authors

  • Marco Baity-Jesi

    • Institut de Physique Theorique, DRF, CEA Saclay, France

  • Carl P. Goodrich

    • School of Engineering and Applied Sciences, Harvard University, Cambridge, MA 02138, USA

  • Andrea Liu

    • University of Pennsylvania
    • Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, PA, USA
    • Department of Physics and Astronomy, University of Pennsylvania, Philadelphia, Pennsylvania 19104, USA
    • Department of Physics, University of Pennsylvania

  • Sidney R. Nagel

    • The University of Chicago
    • University of Chicago
    • Department of Physics, University of Chicago, Chicago, IL, USA
    • James Franck Institute, Enrico Fermi Institute, and Department of Physics, The University of Chicago, USA
    • James Franck Institute, University of Chicago

  • James P. Sethna

    • Cornell
    • Cornell University
    • Cornell Univ
    • Department of Physics, Cornell University, Ithaca, New York 14850, USA