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

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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Journal of Statistical Physics, Springer Verlag, 2017, 167, pp.735 - 748. 〈10.1007/s10955-016-1703-9 〉
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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, Springer Verlag, 2017, 167, pp.735 - 748. 〈10.1007/s10955-016-1703-9 〉. 〈cea-01543253〉

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