Gendelman<i>et al.</i>Reply:

Gendelman, Oleg; Pollack, Yoav G.; Procaccia, Itamar; Sengupta, S.; Zylberg, Jacques

doi:10.1103/physrevlett.117.159802

Cited by 8 publications

(12 citation statements)

References 3 publications

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“…Such sets of constraint equations have been recognized in the literature [55,53,56] and were recently used to determine forces from the positions of jammed packings of soft disks [64]. Clearly each of these loop constraints is independent of the others, since each void polygon has distinct edges.…”

Section: Coordination and Isostaticitymentioning

confidence: 99%

Disordered contact networks in jammed packings of frictionless disks

Ramola¹,

Chakraborty²

2016

J. Stat. Mech.

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Abstract. We analyse properties of contact networks formed in packings of soft frictionless disks near the unjamming transition. We construct polygonal tilings and triangulations of the contact network that partitions space into convex regions which are either covered or uncovered. This allows us to characterize the local spatial structure of the packing near the transition using well-defined geometric objects. We construct bounds on the number of polygons and triangulation vectors that appear in such packings. We study these networks using simulations of bidispersed disks interacting via a one-sided linear spring potential. We find that several underlying geometric distributions are reproducible and display self averaging properties. We find that the total covered area is a reliable real space parameter that can serve as a substitute for the packing fraction. We find that the unjamming transition occurs at a fraction of covered area A * G = 0.446(1). We determine scaling exponents of the excess covered area as the energy of the system approaches zero E G → 0 + , and the coordination number zg approaches its isostatic value ∆Z = zg − zg iso → 0 + . We find ∆A G ∼ ∆E G 0.28(1) and ∆A G ∼ ∆Z 1.00(1) , representing new structural critical exponents. We use the distribution functions of local areas to study the underlying geometric disorder in the packings. We find that a finite fraction of order Ψ * O = 0.369(1) persists as the transition is approached.

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Section: Coordination and Isostaticitymentioning

confidence: 99%

Disordered contact networks in jammed packings of frictionless disks

Ramola¹,

Chakraborty²

2016

J. Stat. Mech.

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show abstract

“…It should be noted that these equations represent all the spatial constraints in the system, since larger loop constraints can be built by summing the constraints of the individual void polygons enclosed by such a loop. Such sets of constraint equations have been recognized in the literature [55,53,56] and were recently used to determine forces from the positions of jammed packings of soft disks [64]. Clearly each of these loop constraints is independent of the others, since each void polygon has distinct edges.…”

Section: Coordination and Isostaticitymentioning

confidence: 99%

Disordered Contact Networks in Jammed Packings of Frictionless Disks

Ramola,

Chakraborty

2016

Preprint

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We analyse properties of contact networks formed in packings of soft frictionless disks near the unjamming transition. We construct polygonal tilings and triangulations of the contact network that partitions space into convex regions which are either covered or uncovered. This allows us to characterize the local spatial structure of the packing near the transition using well-defined geometric objects. We construct bounds on the number of polygons and triangulation vectors that appear in such packings. We study these networks using simulations of bidispersed disks interacting via a one-sided linear spring potential. We find that several underlying geometric distributions are reproducible and display self averaging properties. We find that the total covered area is a reliable real space parameter that can serve as a substitute for the packing fraction. We find that the unjamming transition occurs at a fraction of covered area A * G = 0.446(1). We determine scaling exponents of the excess covered area as the energy of the system approaches zero E G → 0 + , and the coordination number zg approaches its isostatic value ∆Z = zg − zg iso → 0 + . We find ∆A G ∼ ∆E G 0.28(1) and ∆A G ∼ ∆Z 1.00(1) , representing new structural critical exponents. We use the distribution functions of local areas to study the underlying geometric disorder in the packings. We find that a finite fraction of order Ψ * O = 0.369(1) persists as the transition is approached.

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“…In compressed frictional amorphous granular media the external pressure is balanced by normal and tangential (frictional) forces acting at the contacts between the grains [1] . The forces are very inhomogeneous, with a wide distribution of magnitude, resulting in the appearance of force-chains which represent the largest forces which are percolating from wall to wall, see Fig.…”

Section: Introductionmentioning

confidence: 99%

Force distributions in frictional granular media

Akella¹,

Bandi²,

Hentschel

et al. 2018

Phys. Rev. E

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We report a joint experimental and theoretical investigation of the probability distribution functions (PDFs) of the normal and tangential (frictional) forces in amorphous frictional media. We consider both the joint PDF of normal and tangential forces together, and the marginal PDFs of normal forces separately and tangential forces separately. A maximum entropy formalism is utilized for all these cases after identifying the appropriate constraints. Excellent agreements with both experimental and simulation data are reported. The proposed joint PDF predicts giant slip events at low pressures, again in agreement with observations.

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Gendelmanet al.Reply:

Cited by 8 publications

References 3 publications

Disordered contact networks in jammed packings of frictionless disks

Disordered contact networks in jammed packings of frictionless disks

Disordered Contact Networks in Jammed Packings of Frictionless Disks

Force distributions in frictional granular media

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