Bulletin of the American Physical Society
APS March Meeting 2022
Volume 67, Number 3
Monday–Friday, March 14–18, 2022; Chicago
Session N42: Network Physics of Particulate Systems IInvited Live Streamed
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Sponsoring Units: GSNP DSOFT Chair: Jeffrey Morris, City College of New York city Room: McCormick Place W-375A |
Wednesday, March 16, 2022 11:30AM - 12:06PM |
N42.00001: Nonlinear elasticity of polymer networks and hydrogels with inclusions Invited Speaker: Frederick C MacKintosh Tissues consist of cells embedded within a fibrous biopolymer network. Whereas pure reconstituted biopolymer networks typically soften under compression, various tissues such as liver, brain, and fat, are seen to stiffen under compression. We show that when a material composed of stiff inclusions embedded in a fibrous network is compressed, nonaffine rearrangements of the inclusions can induce tension within the interstitial network, leading to a crossover from a soft bending-dominated regime to a stretching-dominated regime, which occurs before and independently of jamming of the inclusions. Using a coarse-grained particle-network model, we first establish a phase diagram for compression-driven, stretching-dominated stress propagation and jamming in uniaxially compressed two- and three-dimensional systems. We then demonstrate that a more detailed computational model of stiff inclusions in a subisostatic semiflexible fiber network exhibits quantitative agreement with the predictions of our coarse-grained model as well as qualitative agreement with experiments. |
Wednesday, March 16, 2022 12:06PM - 12:42PM |
N42.00002: Mathematical analysis of force networks in granular and suspension flow Invited Speaker: Lou Kondic We will discuss interaction networks that spontaneously form in particulate-based systems. These networks, most commonly known as `force chains' in granular systems, are weighted, |
Wednesday, March 16, 2022 12:42PM - 1:18PM |
N42.00003: Attractive, confined, and stirred: patterns and cracks in particulate networks Invited Speaker: Sebastien Manneville Dilute dispersions of attractive colloids commonly self-assemble into space-spanning networks referred to as colloidal gels. With elastic moduli ranging typically from 1 Pa to 104 Pa, colloidal gels form an important class of soft solids, which applications range from food and cosmetics to construction materials as cement. One key feature of colloidal gels is the sensitivity of their microstructure to external deformation and flow. In particular, shear is known to break-up the particulate network and/or to induce aggregation and compaction of particulate clusters. |
Wednesday, March 16, 2022 1:18PM - 1:54PM |
N42.00004: Network Physics and emergence of elasticity in colloidal gels: mechanical perspectiv Invited Speaker: Safa Jamali Colloidal gels exhibit a range of rate- and time-dependent rheological behavior that are classified as thixotropic elaso-visco-plastic. This complex rheology arises from the colloidal phase dynamics, and specifically, the evolution of a particulate microstructure that forms due to attractive interactions between different particles. These forces result in thermoreversible bonds, which in turn result in space-spanning networks that govern the mechanics of colloidal gels. What is clear is that particle-level bonds give rise to clusters at the mesoscale, and that elasticity in these gels arises from a percolated network at the macroscale. Thus, understanding the physics of this particulate network is the key to controlling and designing gels with desirable properties. Thus, we borrow well-established concepts from network science to interrogate and characterize the particulate network in attractive colloidal gels. We associate each colloidal particle to a vertex, and each inter-particle bond to an edge; we then proceed to the analysis of the networks of bonds, completely unaware of the spatial coordination of the particles, and to reveal structural signatures both at local and global scales. We employ network science tools to identify colloidal clusters and coarse grain the network further. The cluster networks from gels of different energy potential show distinct features and a simple spring network made out of the clusters made was found to recover the mechanics of our colloidal gel, suggesting that the appropriate length scale for a network analysis is set by the cluster size rather than individual particles. Finally, we show that network resilience analysis made possible using a Girvan-Newman criterion shows similar features to those from the elasticity of the spring network when strength of attraction between colloids is varied. |
Wednesday, March 16, 2022 1:54PM - 2:30PM |
N42.00005: K-core analysis of jamming and shear thickening transitions Invited Speaker: Hernan A Makse We analysis the contact network features of packings near the jamming and shear thickening transitions using graph theoretical tools. We find that the 3-core is a precursor of both transitions. This k-core emerges suddenly and discontinuously around a coordination number of 3.35 in agreement with the random graph theory of k-core percolation of Pittel, Spencer and Wormald (1996). This indicates that the k-core is a useful graph feature to understand commonalities between jamming and shear thickening transitions in packings. |
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