Emergent SO(3) symmetry of the frictionless shear jamming transition

M. Baity-Jesi, C.P. Goodrich, A.J. Liu, S.R. Nagel, J.P. Sethna, Journal of Statistical Physics 167 (2017) 735–748.

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Journal Article | Published | English
Author
Baity-Jesi, Marco; Goodrich, Carl PeterIST Austria ; Liu, Andrea J.; Nagel, Sidney R.; Sethna, James P.
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.
Publishing Year
Date Published
2017-01-03
Journal Title
Journal of Statistical Physics
Volume
167
Issue
3-4
Page
735-748
IST-REx-ID

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Baity-Jesi M, Goodrich CP, Liu AJ, Nagel SR, Sethna JP. Emergent SO(3) symmetry of the frictionless shear jamming transition. Journal of Statistical Physics. 2017;167(3-4):735-748. doi:10.1007/s10955-016-1703-9
Baity-Jesi, M., Goodrich, C. P., Liu, A. J., Nagel, S. R., & Sethna, J. P. (2017). Emergent SO(3) symmetry of the frictionless shear jamming transition. Journal of Statistical Physics. Springer Nature. https://doi.org/10.1007/s10955-016-1703-9
Baity-Jesi, Marco, Carl Peter Goodrich, Andrea J. Liu, Sidney R. Nagel, and James P. Sethna. “Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition.” Journal of Statistical Physics. Springer Nature, 2017. https://doi.org/10.1007/s10955-016-1703-9.
M. Baity-Jesi, C. P. Goodrich, A. J. Liu, S. R. Nagel, and J. P. Sethna, “Emergent SO(3) symmetry of the frictionless shear jamming transition,” Journal of Statistical Physics, vol. 167, no. 3–4. Springer Nature, pp. 735–748, 2017.
Baity-Jesi M, Goodrich CP, Liu AJ, Nagel SR, Sethna JP. 2017. Emergent SO(3) symmetry of the frictionless shear jamming transition. Journal of Statistical Physics. 167(3–4), 735–748.
Baity-Jesi, Marco, et al. “Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition.” Journal of Statistical Physics, vol. 167, no. 3–4, Springer Nature, 2017, pp. 735–48, doi:10.1007/s10955-016-1703-9.

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