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}
}
Web of Science
Works referenced in this record:
Jamming at zero temperature and zero applied stress: The epitome of disorder
journal, July 2003
- O’Hern, Corey S.; Silbert, Leonardo E.; Liu, Andrea J.
- Physical Review E, Vol. 68, Issue 1
Frictionless bead packs have macroscopic friction, but no dilatancy
journal, July 2008
- Peyneau, Pierre-Emmanuel; Roux, Jean-Noël
- Physical Review E, Vol. 78, Issue 1
Isostaticity at Frictional Jamming
journal, May 2013
- Papanikolaou, Stefanos; O’Hern, Corey S.; Shattuck, Mark D.
- Physical Review Letters, Vol. 110, Issue 19
Heat transport in model jammed solids
journal, February 2010
- Vitelli, Vincenzo; Xu, Ning; Wyart, Matthieu
- Physical Review E, Vol. 81, Issue 2
Topology of covalent non-crystalline solids II: Medium-range order in chalcogenide alloys and ASi(Ge)
journal, January 1981
- Phillips, J. C.
- Journal of Non-Crystalline Solids, Vol. 43, Issue 1
On the fabric tensor of polydisperse granular materials in 2D
journal, May 2004
- Madadi, Mahyar; Tsoungui, Olivier; Lätzel, Marc
- International Journal of Solids and Structures, Vol. 41, Issue 9-10
Structural Relaxation Made Simple
journal, October 2006
- Bitzek, Erik; Koskinen, Pekka; Gähler, Franz
- Physical Review Letters, Vol. 97, Issue 17
Jamming in finite systems: Stability, anisotropy, fluctuations, and scaling
journal, August 2014
- Goodrich, Carl P.; Dagois-Bohy, Simon; Tighe, Brian P.
- Physical Review E, Vol. 90, Issue 2
Disentangling the role of structure and friction in shear jamming
journal, February 2016
- Vinutha, H. A.; Sastry, Srikanth
- Nature Physics, Vol. 12, Issue 6
On the rigidity of amorphous solids
journal, January 2005
- Wyart, M.
- Annales de Physique, Vol. 30, Issue 3
Jamming in Systems Composed of Frictionless Ellipse-Shaped Particles
journal, June 2009
- Mailman, Mitch; Schreck, Carl F.; O’Hern, Corey S.
- Physical Review Letters, Vol. 102, Issue 25
A phase diagram for jammed matter
journal, May 2008
- Song, Chaoming; Wang, Ping; Makse, Hernán A.
- Nature, Vol. 453, Issue 7195
Elasticity of Floppy and Stiff Random Networks
journal, November 2008
- Wyart, M.; Liang, H.; Kabla, A.
- Physical Review Letters, Vol. 101, Issue 21
Critical jamming of frictional grains in the generalized isostaticity picture
journal, April 2010
- Henkes, S.; van Hecke, M.; van Saarloos, W.
- EPL (Europhysics Letters), Vol. 90, Issue 1
Improving the Density of Jammed Disordered Packings Using Ellipsoids
journal, February 2004
- Donev, A.
- Science, Vol. 303, Issue 5660
Force mobilization and generalized isostaticity in jammed packings of frictional grains
journal, January 2007
- Shundyak, Kostya; van Hecke, Martin; van Saarloos, Wim
- Physical Review E, Vol. 75, Issue 1
Protocol dependence of the jamming transition
journal, January 2016
- Bertrand, Thibault; Behringer, Robert P.; Chakraborty, Bulbul
- Physical Review E, Vol. 93, Issue 1
Thermal vestige of the zero-temperature jamming transition
journal, May 2009
- Zhang, Zexin; Xu, Ning; Chen, Daniel T. N.
- Nature, Vol. 459, Issue 7244
Solidlike behavior and anisotropy in rigid frictionless bead assemblies
journal, October 2008
- Peyneau, Pierre-Emmanuel; Roux, Jean-Noël
- Physical Review E, Vol. 78, Issue 4
Scaling ansatz for the jamming transition
journal, August 2016
- Goodrich, Carl P.; Liu, Andrea J.; Sethna, James P.
- Proceedings of the National Academy of Sciences, Vol. 113, Issue 35
Contact nonlinearities and linear response in jammed particulate packings
journal, August 2014
- Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review E, Vol. 90, Issue 2
Topology of covalent non-crystalline solids I: Short-range order in chalcogenide alloys
journal, October 1979
- Phillips, J. C.
- Journal of Non-Crystalline Solids, Vol. 34, Issue 2
Short-range correlations control the G / K and Poisson ratios of amorphous solids and metallic glasses
journal, January 2014
- Zaccone, Alessio; Terentjev, Eugene M.
- Journal of Applied Physics, Vol. 115, Issue 3
Excess Vibrational Modes and the Boson Peak in Model Glasses
journal, April 2007
- Xu, Ning; Wyart, Matthieu; Liu, Andrea J.
- Physical Review Letters, Vol. 98, Issue 17
Critical and noncritical jamming of frictional grains
journal, February 2007
- Somfai, Ellák; van Hecke, Martin; Ellenbroek, Wouter G.
- Physical Review E, Vol. 75, Issue 2
Solids between the mechanical extremes of order and disorder
journal, July 2014
- Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.
- Nature Physics, Vol. 10, Issue 8
Finite-Size Scaling at the Jamming Transition
journal, August 2012
- Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.
- Physical Review Letters, Vol. 109, Issue 9
Hydrostatic and Shear Behavior of Frictionless Granular Assemblies under Different Deformation Conditions
journal, January 2013
- Imole, Olukayode I.; Kumar, Nishant; Magnanimo, Vanessa
- KONA Powder and Particle Journal, Vol. 30, Issue 0
Self-organization and the physics of glassy networks
journal, November 2005
- Boolchand, P.; Lucovsky, G.; Phillips, J. C.
- Philosophical Magazine, Vol. 85, Issue 32
Excitations of ellipsoid packings near jamming
journal, July 2009
- Zeravcic, Z.; Xu, N.; Liu, A. J.
- EPL (Europhysics Letters), Vol. 87, Issue 2
Frictionless bead packs have macroscopic friction, but no dilatancy
text, January 2008
- Peyneau, Pierre-Emmanuel; Roux, Jean-Noël
- arXiv
Excitations of Ellipsoid Packings near Jamming
text, January 2009
- Zeravcic, Z.; Xu, N.; Liu, A. J.
- arXiv
Critical jamming of frictional grains in the generalized isostaticity picture
text, January 2009
- Henkes, S.; van Hecke, M.; van Saarloos, W.
- arXiv
Finite-Size Scaling at the Jamming Transition
text, January 2012
- Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.
- arXiv
Contact nonlinearities and linear response in jammed particulate packings
text, January 2014
- Goodrich, Carl P.; Liu, Andrea J.; Nagel, Sidney R.
- arXiv
Jamming in finite systems: stability, anisotropy, fluctuations and scaling
text, January 2014
- Goodrich, Carl P.; Dagois-Bohy, Simon; Tighe, Brian P.
- arXiv
Self-Organization and the Physics of Glassy Networks
text, January 2005
- Boolchand, P.; Lucovsky, G.; Phillips, J. C.
- arXiv
Excess Vibrational Modes and the Boson Peak in Model Glasses
text, January 2006
- Xu, Ning; Wyart, Matthieu; Liu, Andrea J.
- arXiv
Self-organization and the physics of glassy networks
journal, November 2005
- Boolchand, P.; Lucovsky, G.; Phillips, J. C.
- Philosophical Magazine, Vol. 85, Issue 32
A coordination-based approach to elasticity of floppy and stiff random networks
text, January 2008
- Wyart, M.; Liang, H.; Kabla, A.
- arXiv
Works referencing / citing this record:
Shear jamming and fragility in dense suspensions
journal, August 2019
- Seto, Ryohei; Singh, Abhinendra; Chakraborty, Bulbul
- Granular Matter, Vol. 21, Issue 3
Timescale divergence at the shear jamming transition
journal, December 2019
- Vinutha, H. A.; Ramola, Kabir; Chakraborty, Bulbul
- Granular Matter, Vol. 22, Issue 1
The physics of jamming for granular materials: a review
journal, November 2018
- Behringer, Robert P.; Chakraborty, Bulbul
- Reports on Progress in Physics, Vol. 82, Issue 1
Mean-field stability map of hard-sphere glasses
journal, September 2019
- Altieri, Ada; Zamponi, Francesco
- Physical Review E, Vol. 100, Issue 3
Shear jamming, discontinuous shear thickening, and fragile states in dry granular materials under oscillatory shear
journal, March 2020
- Otsuki, Michio; Hayakawa, Hisao
- Physical Review E, Vol. 101, Issue 3
Critical scaling near the yielding transition in granular media
journal, June 2018
- Clark, Abram H.; Thompson, Jacob D.; Shattuck, Mark D.
- Physical Review E, Vol. 97, Issue 6
Stress anisotropy in shear-jammed packings of frictionless disks
journal, October 2018
- Chen, Sheng; Bertrand, Thibault; Jin, Weiwei
- Physical Review E, Vol. 98, Issue 4
Characterizing the nature of the rigidity transition
journal, November 2018
- Rahbari, S. H. E.; Vollmer, J.; Park, Hyunggyu
- Physical Review E, Vol. 98, Issue 5
Force networks and jamming in shear-deformed sphere packings
journal, January 2019
- Vinutha, H. A.; Sastry, Srikanth
- Physical Review E, Vol. 99, Issue 1
Microscopic Origins of Shear Jamming for 2D Frictional Grains
journal, May 2018
- Wang, Dong; Ren, Jie; Dijksman, Joshua A.
- Physical Review Letters, Vol. 120, Issue 20
Shear-Jammed, Fragile, and Steady States in Homogeneously Strained Granular Materials
journal, October 2019
- Zhao, Yiqiu; Barés, Jonathan; Zheng, Hu
- Physical Review Letters, Vol. 123, Issue 15
A stability-reversibility map unifies elasticity, plasticity, yielding, and jamming in hard sphere glasses
journal, December 2018
- Jin, Yuliang; Urbani, Pierfrancesco; Zamponi, Francesco
- Science Advances, Vol. 4, Issue 12
Force networks and jamming in shear deformed sphere packings
text, January 2017
- Vinutha, H. A.; Sastry, Srikanth
- arXiv
A stability-reversibility map unifies elasticity, plasticity, yielding and jamming in hard sphere glasses
text, January 2018
- Jin, Yuliang; Urbani, Pierfrancesco; Zamponi, Francesco
- arXiv
Characterizing the Nature of the Yielding Transition
text, January 2018
- Rahbari, S. H. E.; Vollmer, J.; Park, Hyunggyu
- arXiv
Shear jamming and fragility in dense suspensions
text, January 2019
- Seto, Ryohei; Singh, Abhinendra; Chakraborty, Bulbul
- arXiv
Rheology of dense granular suspensions under extensional flow
journalarticle, January 2018
- Cheal, Oliver; Ness, Christopher
- Society of Rheology