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09 February 2025
 
  » arxiv » 1609.0280

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Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition
Marco Baity-Jesi ; Carl P. Goodrich ; Andrea J. Liu ; Sidney R. Nagel ; James P. Sethna ;
Date 1 Sep 2016
AbstractWe 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.
Source arXiv, 1609.0280
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