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

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 thermodynam...

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Bibliographic Details
Published in:Journal of statistical physics 2017-05, Vol.167 (3-4), p.735-748
Main Authors: Baity-Jesi, Marco, Goodrich, Carl P., Liu, Andrea J., Nagel, Sidney R., Sethna, James P.
Format: Article
Language:English
Subjects:
Bulk modulus
Condensed Matter
Elastic limit
Elastic properties
Jamming
Mathematical and Computational Physics
Modulus of elasticity
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Shear stress
Soft Condensed Matter
Statistical Physics and Dynamical Systems
Symmetry
Tensors
Theoretical
Thermodynamics
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Summary: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.
ISSN:0022-4715
1572-9613
DOI:10.1007/s10955-016-1703-9