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

Cited by 58 publications

(62 citation statements)

References 32 publications

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“…3 (a) exhibits two branches, one with close to zero stress and one with finite stress when Z N R ≥ 6, above the isostatic contact number. The re-entrant finite stress regime with Z N R ≥ 6 at high strain amplitudes corresponds to shear jamming, explored in great detail for frictional granular packings [7,12,13,[55][56][57][58], but also as a possibility in recent times for frictionless packings [10,17,53]. Our results open a novel route to generating unjammed pack- ings above the isotropic jamming point φ J , which can shear jam upon the application of shear.…”

Section: Unjamming and Shear Jamming Above The Isotropic Jammingmentioning

confidence: 84%

Unified phase diagram of reversible–irreversible, jamming, and yielding transitions in cyclically sheared soft-sphere packings

Das

Vinutha

Sastry

2020

Proc. Natl. Acad. Sci. U.S.A.

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Self-organization, and transitions from reversible to irreversible behaviour, of interacting particle assemblies driven by externally imposed stresses or deformation is of interest in comprehending diverse phenomena in soft matter. They have been investigated in a wide range of systems, such as colloidal suspensions, glasses, and granular matter. In different density and driving regimes, such behaviour is related to yielding of amorphous solids, jamming, and memory formation, etc. How these phenomena are related to each other has not, however, been much studied. In order to obtain a unified view of the different regimes of behaviour, and transitions between them, we investigate computationally the response of soft sphere assemblies to athermal cyclic shear deformation over a wide range of densities and amplitudes of shear deformation. Cyclic shear deformation induces transitions from reversible to irreversible behaviour in both unjammed and jammed soft sphere packings. Well above isotropic jamming density (φ J ), this transition corresponds to yielding. In the vicinity of the jamming point, up to a higher density limit we designate φ cyc J , an unjammed phase emerges between a localised, absorbing phase, and a diffusive, irreversible phase. The emergence of the unjammed phase signals the shifting of the jamming point to higher densities as a result of annealing, and opens a window where shear jamming becomes possible for frictionless packings. Below φ J , two distinct localised states, termed point and loop reversibile, are observed. We characterise in detail the different regimes and transitions between them, and obtain a unified density-shear amplitude phase diagram. arXiv:1907.08503v1 [cond-mat.soft]

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Section: Unjamming and Shear Jamming Above The Isotropic Jammingmentioning

confidence: 84%

Unified phase diagram of reversible–irreversible, jamming, and yielding transitions in cyclically sheared soft-sphere packings

Das

Vinutha

Sastry

2020

Proc. Natl. Acad. Sci. U.S.A.

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“…Furthermore, the theory has been extended to hard sphere with a short range attraction [33], to investigate a peculiar two-step yielding transition that characterizes colloidal systems [34]. These predictions, obtained in the mean-field d → ∞ limit, have been partially confirmed by extensive numerical simulations in d = 3 [35][36][37][38][39] and experiments on a granular material in d = 2 [40].…”

Section: Introductionmentioning

confidence: 83%

Mean-field stability map of hard-sphere glasses

Altieri

Zamponi

2019

Phys. Rev. E

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The response of amorphous solids to an applied shear deformation is an important problem, both in fundamental and applied research. To tackle this problem, we focus on a system of hard spheres in infinite dimensions as a solvable model for colloidal systems and granular matter. The system is prepared above the dynamical glass transition density, and we discuss the phase diagram of the resulting glass under compression, decompression, and shear strain, expanding on previous results [P.Urbani and F.Zamponi, Phys.Rev.Lett. 118, 038001 (2017)]. We show that the solid region is bounded by a "shear jamming" line, at which the solid reaches close packing, and a "shear yielding" line, at which the solid undergoes a spinodal instability towards a liquid, flowing phase. Furthermore, we characterize the evolution of these lines upon varying the glass preparation density. This work aims to provide a general overview on yielding and jamming phenomena in hard sphere systems by a systematic exploration of the phase diagram.

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“…However, whether the shear stress and pressure scale equivalently with shear rate is not at all an obvious fact. According to Peynneau and Roux [36] and more recently by Baity et al [37] a finite stress anisotropy, δp ∝ p xx − p yy , gives rise to a small rotation of principal axes of of the stress tensor from those given by the strain tensor. This gives rise to distinct scaling of the shear stress and pressure when there is a stress anisotropy in the system; this usually happens at high shear rates.…”

Section: Hunt For φJmentioning

confidence: 96%

Characterizing the nature of the rigidity transition

2018

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Particulate matter, such as foams, emulsions, and granular materials, attain rigidity in a dense regime: the rigid phase can yield when a threshold force is applied. The rigidity transition in particulate matter exhibits bona fide scaling behavior near the transition point. However, a precise determination of exponents describing the rigidity transition has raised much controversy. Here, we pinpoint the causes of the controversies. We then establish a conceptual framework to quantify the critical nature of the yielding transition. Our results demonstrate that there is a spectrum of possible values for the critical exponents for which, without a robust framework, one cannot distinguish the genuine values of the exponents. Our approach is two-fold: (i) a precise determination of the transition density using rheological measurements and (ii) a matching rule that selects the critical exponents and rules out all other possibilities from the spectrum. This enables us to determine exponents with unprecedented accuracy and resolve the long-standing controversy over exponents of jamming. The generality of the approach paves the way to quantify the critical nature of many other types of rheological phase transitions such as those in oscillatory shearing.

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

Cited by 58 publications

References 32 publications

Unified phase diagram of reversible–irreversible, jamming, and yielding transitions in cyclically sheared soft-sphere packings

Unified phase diagram of reversible–irreversible, jamming, and yielding transitions in cyclically sheared soft-sphere packings

Mean-field stability map of hard-sphere glasses

Characterizing the nature of the rigidity transition

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