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