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

Baity-Jesi, Marco; Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.; Sethna, James P.

doi:10.1007/s10955-016-1703-9

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

Journal Article · Tue Jan 03 00:00:00 EST 2017 · Journal of Statistical Physics

DOI:https://doi.org/10.1007/s10955-016-1703-9· OSTI ID:1596343

Baity-Jesi, Marco ^[1]; Goodrich, Carl P. ^[2]; Liu, Andrea J. ^[3]; Nagel, Sidney R. ^[4]; Sethna, James P. ^[5]

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

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.

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Research Organization:: Univ. of Chicago, IL (United States); Univ. of Pennsylvania, Philadelphia, PA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), Basic Energy Sciences (BES) (SC-22). Materials Sciences & Engineering Division

Grant/Contract Number:: FG02-03ER46088; FG02-05ER46199

OSTI ID:: 1596343

Journal Information:: Journal of Statistical Physics, Vol. 167, Issue 3-4; ISSN 0022-4715

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 28 works

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

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