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

Marco Baity-Jesi (1, 2) , Carl P. Goodrich (1, 3) , Andrea J. Liu (1) , Sidney R. Nagel (4) , James P. Sethna (5)

1 Department of Physics and Astronomy [Philadelphia]
2 IPHT - Institut de Physique Théorique - UMR CNRS 3681
3 SEAS - Harvard John A. Paulson School of Engineering and Applied Sciences
4 James Franck Institute
5 Department of Physics [Ithaca]

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.

Mots clés: Finite-size scaling; Disordered solids; Shear jamming; Jamming; Scaling theory; Granular materials; Linear elasticity

Domaines: Matière Molle [cond-mat.soft]

Marco Baity-Jesi, Carl P. Goodrich, Andrea J. Liu, Sidney R. Nagel, James P. Sethna. Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition. Journal of Statistical Physics, 2017, 167, pp.735 - 748. ⟨10.1007/s10955-016-1703-9⟩. ⟨cea-01543253⟩