Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition
Abstract
Here, 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. In contrast to 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.
- Authors:
-
- Alternative Energies and Atomic Energy Commission (CEA), Saclay (France). Inst. of Theoretical Physics (IPhT); Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
- Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy; Harvard Univ., Cambridge, MA (United States). School of Engineering and Applied Sciences (SEAS)
- Univ. of Pennsylvania, Philadelphia, PA (United States). Dept. of Physics and Astronomy
- Univ. of Chicago, IL (United States). Enrico Fermi Inst.
- Cornell Univ., Ithaca, NY (United States). Dept. of Physics
- Publication Date:
- Research Org.:
- Univ. of Chicago, IL (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division
- OSTI Identifier:
- 1596343
- Grant/Contract Number:
- FG02-03ER46088; FG02-05ER46199
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Statistical Physics
- Additional Journal Information:
- Journal Volume: 167; Journal Issue: 3-4; Journal ID: ISSN 0022-4715
- Publisher:
- Springer
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 36 MATERIALS SCIENCE; Granular materials; Shear jamming; Disordered solids; Finite-size scaling; Scaling theory; Jamming; Linear elasticity
Citation Formats
Baity-Jesi, Marco, Goodrich, Carl P., Liu, Andrea J., Nagel, Sidney R., and Sethna, James P. Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition. United States: N. p., 2017.
Web. doi:10.1007/s10955-016-1703-9.
Baity-Jesi, Marco, Goodrich, Carl P., Liu, Andrea J., Nagel, Sidney R., & Sethna, James P. Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition. United States. https://doi.org/10.1007/s10955-016-1703-9
Baity-Jesi, Marco, Goodrich, Carl P., Liu, Andrea J., Nagel, Sidney R., and Sethna, James P. Tue .
"Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition". United States. https://doi.org/10.1007/s10955-016-1703-9. https://www.osti.gov/servlets/purl/1596343.
@article{osti_1596343,
title = {Emergent SO(3) Symmetry of the Frictionless Shear Jamming Transition},
author = {Baity-Jesi, Marco and Goodrich, Carl P. and Liu, Andrea J. and Nagel, Sidney R. and Sethna, James P.},
abstractNote = {Here, 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. In contrast to 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.},
doi = {10.1007/s10955-016-1703-9},
journal = {Journal of Statistical Physics},
number = 3-4,
volume = 167,
place = {United States},
year = {Tue Jan 03 00:00:00 EST 2017},
month = {Tue Jan 03 00:00:00 EST 2017}
}
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Works referencing / citing this record:
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