Journal
JOURNAL OF STATISTICAL PHYSICS
Volume 167, Issue 3-4, Pages 735-748Publisher
SPRINGER
DOI: 10.1007/s10955-016-1703-9
Keywords
Granular materials; Shear jamming; Disordered solids; Finite-size scaling; Scaling theory; Jamming; Linear elasticity
Categories
Funding
- Simons Foundation [454945, 348126, 454935]
- National Science Foundation [DMR-1312160]
- ERC Grant NPRGGLASS [279950]
- US Department of Energy, Office of Basic Energy Sciences, Division of Materials Sciences and Engineering [DE-FG02-05ER46199]
- MINECO, Spain [FIS2012-35719-C02]
- FPU Program (Beca FPU) [AP-2010-1318]
- Division Of Materials Research
- Direct For Mathematical & Physical Scien [1312160] Funding Source: National Science Foundation
- European Research Council (ERC) [279950] Funding Source: European Research Council (ERC)
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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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