Sticky Matters: Jamming and Rigid Cluster Statistics with Attractive Particle Interactions

Koeze, Dion; Tighe, Brian P.

doi:10.1103/physrevlett.121.188002

Cited by 54 publications

(48 citation statements)

References 48 publications

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“…5b), suggesting that the particles retained some sort of sticky interactions, possibly due to residual silicone oil adhered to the surface. Even weak, attractive interactions are expected to have a significant effect on granular packings and their mechanical properties for large system sizes [86]. This hypothesis is consistent with the low packing density of cornstarch in silicone oil ( Fig.…”

Section: Primary Cracks In Different Particle Suspensionssupporting

confidence: 75%

Universal scaling of polygonal desiccation crack patterns

Lowensohn

Burton

2019

Phys. Rev. E

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Polygonal desiccation crack patterns are commonly observed in natural systems. Despite their quotidian nature, it is unclear whether similar crack patterns which span orders of magnitude in length scales share the same underlying physics. In thin films, the characteristic length of polygonal cracks is known to monotonically increase with the film thickness, however, existing theories that consider the mechanical, thermodynamic, hydrodynamic, and statistical properties of cracking often lead to contradictory predictions. Here we experimentally investigate polygonal cracks in drying suspensions of micron-sized particles by varying film thickness, boundary adhesion, packing fraction, and solvent. Although polygonal cracks were observed in most systems above a critical film thickness, in cornstarch-water mixtures, multi-scale crack patterns were observed due to two distinct desiccation mechanisms. Large-scale, primary polygons initially form due to capillary-induced film shrinkage, whereas small-scale, secondary polygons appear later due to the deswelling of the hygroscopic particles. In addition, we find that the characteristic area of the polygonal cracks, Ap, obeys a universal power law, Ap = αh 4/3 , where h is the film thickness. By quantitatively linking α with the material properties during crack formation, we provide a robust framework for understanding multi-scale polygonal crack patterns from microscopic to geologic scales. arXiv:1807.06126v2 [cond-mat.soft]

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Section: Primary Cracks In Different Particle Suspensionssupporting

confidence: 75%

Universal scaling of polygonal desiccation crack patterns

Lowensohn

Burton

2019

Phys. Rev. E

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“…Since frictional RP was devised to explore the nature of the jamming transition in frictional particle packings, this work compels us to make a rather strong claim that the rigidity transition in frictionless particle packings with purely repulsive central forces is of a different nature than the rigidity transition in frictional particle packings. In fact, the frictionless case with purely repulsive central forces may indeed be a very special case because even rigid cluster analysis of particle packings with both attractive and repulsive central forces indicates a continuous transition [47]. In frictionless packings, there are no redundant bonds, which makes the constraint counting rather straightforward.…”

Section: Discussionmentioning

confidence: 99%

Frictional Rigidity Percolation: A New Universality Class and Its Superuniversal Connections through Minimal Rigidity Proliferation

2019

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We introduce two new complementary concepts, frictional rigidity percolation and minimal rigidity proliferation, to help identify the nature of the frictional jamming transition as well as significantly broaden the scope of rigidity percolation. To probe frictional rigidity percolation, we construct rigid clusters using a (3,3) pebble game for sliding and frictional contacts first on a honeycomb lattice with next-nearest neighbors, and second on a hierarchical lattice. For both lattices, we find a continuous rigidity transition. Our numerically obtained transition exponents for frictional rigidity percolation on the honeycomb lattice are distinct from those of central-force rigidity percolation. We propose that localized motifs, such as hinges connecting rigid clusters that are allowed only with friction, could give rise to this new frictional universality class. And yet, the distinction between the exponents characterizing the spanning rigid cluster for frictional and central-force rigidity percolation is small, motivating us to look for a limit in which they are identical, i.e., a search for mechanisms of superuniversality. To achieve this goal, we construct a minimally rigid cluster generating algorithm invoking generalized Henneberg moves, dubbed minimal rigidity proliferation. For both frictional and central-force rigidity percolation, these clusters appear to be in the same universality class as connectivity percolation, suggesting superuniversality between all three transitions for such minimally rigid clusters. These combined results allow us, for the first time in rigidity percolation, to directly compare two universality classes on the same lattice and to highlight unifying and distinguishing concepts of rigidity transitions in disordered systems.

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“…The relatively few studies of sticky soft spheres that are available reveal important differences from repulsive jamming: (i) Sticky particles jam at lower packing fractions, with structural signatures reminiscent of gels [14,15]; (ii) they form shear bands under conditions where repulsive particles do not [16][17][18][19]; and (iii) most tellingly, they belong to a distinct universality class [20]. In fact, any finite attraction between particles places a system in the sticky jamming class [21].…”

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confidence: 99%

Elasticity of jammed packings of sticky disks

Koeze

Hong

Kumar

et al. 2020

Phys. Rev. Research

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Numerous soft materials jam into an amorphous solid at a high packing fraction. This nonequilibrium phase transition is best understood in a model system where particles repel when they overlap. Recently, however, it was shown that introducing any finite amount of attraction between particles changes the universality class of the transition. The properties of this "sticky jamming" class remain almost entirely unexplored. We use molecular dynamics simulations and scaling analysis to determine the shear modulus, bulk modulus, and coordination of marginal solids close to the sticky jamming point. Each observable differs not just quantitatively but also qualitatively from the purely repulsive case.

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Sticky Matters: Jamming and Rigid Cluster Statistics with Attractive Particle Interactions

Cited by 54 publications

References 48 publications

Universal scaling of polygonal desiccation crack patterns

Universal scaling of polygonal desiccation crack patterns

Frictional Rigidity Percolation: A New Universality Class and Its Superuniversal Connections through Minimal Rigidity Proliferation

Elasticity of jammed packings of sticky disks

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