Article
Physics, Fluids & Plasmas
Jack R. Dale, James D. Sartor, R. Cameron Dennis, Eric I. Corwin
Summary: A spatial distribution is considered hyperuniform if local density fluctuations disappear at long length scales. Recent research has shown that jammed systems exhibit complex behaviors instead of disordered hyperuniformity at long lengths. By using Voronoi tessellation and rescaling transformations, hyperuniform, mechanically stable packings can be iteratively generated in simulations. These packings display atypical mechanical properties, particularly in low-frequency phononic excitations.
Article
Physics, Fluids & Plasmas
Joseph M. Monti, Ishan Srivastava, Leonardo E. Silbert, Jeremy B. Lechman, Gary S. Grest
Summary: This study calculates the static structure factors of large-scale, mechanically stable, jammed packings of frictionless spheres and disks with broad size dispersity. The analysis of the power-law behavior of the structure factors reveals that in three dimensions, the structural fractal dimension (df) is approximately 2.0 for -beta values between 2.5 and 3.8, allowing the collapse of structure factors onto a universal curve. In two dimensions, the fractal dimension (df) ranges from 1.0 to 1.34 for -beta values between 2.1 and 2.9. Additionally, the fractal behavior persists even after removing rattler particles, indicating that the long-wavelength structural properties of the packings are controlled by the large particle backbone conferring mechanical rigidity to the system.
Article
Physics, Multidisciplinary
Paolo Rissone, Eric Corwin, Giorgio Parisi
Summary: By analyzing the density-density correlation weighted function, this study investigates the influence of weak forces and Delta Z fluctuations on the large-scale behavior of three-dimensional systems of hard spheres at jamming. The complex structure of density-density correlations is found to exhibit anomalous long-range decay, supporting the hypothesis of randomly jammed packings of spherical particles driven by weak forces and Delta Z fluctuations.
PHYSICAL REVIEW LETTERS
(2021)
Article
Physics, Multidisciplinary
James D. Sartor, Sean A. Ridout, Eric Corwin
Summary: This letter explores the mean-field theory of jamming and its accuracy in different dimensions, showing that the predictions of mean field theory are exact in low dimensions. This suggests that the infinite dimensional limit is not necessary to obtain these results.
PHYSICAL REVIEW LETTERS
(2021)
Article
Multidisciplinary Sciences
Sean A. Ridout, Jason W. Rocks, Andrea J. Liu
Summary: In frictionless jammed packings, localized physics dominates in low dimensions, but loses relevance as dimensions increase. Using machine learning, this study finds that a local structural variable, softness, correlates with rearrangements in different dimensions, providing direct evidence that local structure plays an important role in higher dimensions.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2022)
Article
Multidisciplinary Sciences
Yuliang Jin, Hajime Yoshino
Summary: The concept of jamming has attracted great research interest due to its broad relevance in soft-matter and its connection to sphere packing and optimization problems. The study shows that amorphous jammed states of frictionless spheres can be extended from a fixed density jamming-point to a jamming-plane that spans density and shear strain axes. The jamming-plane can be divided into reversible-jamming and irreversible-jamming regimes, reflecting the escape from metastable glass basins.
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA
(2021)
Article
Physics, Fluids & Plasmas
Shiyun Zhang, Weiwei Jin, Dong Wang, Ding Xu, Jerry Zhang, Mark D. Shattuck, Corey S. O'Hern
Summary: Negative shear moduli can be found in jammed packings of repulsive, frictionless disks under strain-controlled isotropic compression. We conducted computational studies to analyze the contributions of these negative shear moduli to the mechanical response of the packings. Our findings reveal different scaling relations and probability distributions for positive and negative shear moduli, and highlight the development of long-ranged spatial correlations in the packings.
Article
Engineering, Chemical
Wei Deng, Lufeng Liu, Ye Yuan, Shuixiang Li
Summary: Comparing the mechanical properties of granular material in different packing states, this study found that the bulk modulus first increases and then decreases with the aspect ratio, and is positively correlated with packing density. The structural stability increases with aspect ratio, and friction improves both bulk modulus and structural stability simultaneously. These findings can guide the design of granular materials in engineering applications.
Article
Physics, Fluids & Plasmas
Andy L. Zhang, Sean A. Ridout, Celia Parts, Aarushi Sachdeva, Cacey S. Bester, Katharina Vollmayr-Lee, Brian C. Utter, Ted Brzinski, Amy L. Graves
Summary: The presence of fixed particles in soft or granular matter systems plays an important role in tuning the threshold volume fraction and force network near jamming. This research investigates the effect of fixed pins on the geometrical role of a scaffolding system, revealing that the jamming threshold is lowered by the presence of pins. Additionally, the presence of pins alters the network of forces, resulting in both weaker and stronger forces becoming more abundant.
Article
Chemistry, Physical
Sebastian Rocks, Robert S. Hoy
Summary: Motivated by the recent observation of liquid glass in suspensions of ellipsoidal colloids, this study examines the structure of jammed two-dimensional ellipse packings over a wide range of particle aspect ratios. The study determines the jamming densities to high precision and identifies empirical analytic formulae that predict the densities accurately. The study also investigates the local structural order of the packings and finds unusual nearest-neighbor shells as well as a previously-unreported short-range order.
Article
Physics, Fluids & Plasmas
Ryotaro Koshoji, Mitsuaki Kawamura, Masahiro Fukuda, Taisuke Ozaki
Summary: Through an unbiased random search approach, 12 putative densest binary sphere packings have been discovered, leading to an updated phase diagram. It was found that in the small radius range, multiple structures compete with each other for high packing fraction, achieved by introducing distortion or combining a few local dense structural units.
Article
Materials Science, Multidisciplinary
Juan C. Petit, Matthias Sperl
Summary: We studied the local structural changes in asymmetric bidisperse granular packings along the jamming transitions. The packing's local structure was evaluated using contact orientational order (Q) over tilde (l), which quantifies the contribution of each contact configuration (Large-Large, Small-Small, Large-Small, Small-Large) in the jammed structure. The results showed that bidisperse packings exhibited local HCP and FCC structures, suggesting an inherent local structural order in the jammed structure of bidisperse systems. These findings are important for understanding the strength of bidisperse granular packings based on the arrangement of particles.
Article
Chemistry, Physical
Dong Wang, John D. Treado, Arman Boromand, Blake Norwick, Michael P. Murrell, Mark D. Shattuck, Corey S. O'Hern
Summary: This study investigates the structural, vibrational, and mechanical properties of jammed packings of deformable particles with shape degrees of freedom in three dimensions. The results show that the presence or absence of bending energy in deformable particles leads to different vibrational modes, with significant contributions from shape degrees of freedom to the particles' properties.
Article
Chemistry, Physical
Giorgio Cinacchi
Summary: This work describes the derivation of a random contact equation to predict the packing fraction of a dense disordered state of elongate particles. The derivation is based on the compressibility equation and the pair-correlation function, and the predicted results are compared to experimental data.
JOURNAL OF CHEMICAL PHYSICS
(2022)
Article
Physics, Multidisciplinary
James D. Sartor, Eric I. Corwin
Summary: The study reveals that excess contacts in amorphous systems of soft particles can prevent mechanical equilibrium, and defect contacts can be uniquely identified by examining the boundaries of the force network ensemble. In simulations near the jamming limit, this identification is almost always correct, and defect contacts are broken when the system is decompressed.
PHYSICAL REVIEW LETTERS
(2022)
Article
Computer Science, Theory & Methods
Yoav Kallus
DISCRETE & COMPUTATIONAL GEOMETRY
(2015)
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Mathematics
Yoav Kallus
GEOMETRY & TOPOLOGY
(2015)
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Yoav Kallus
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Yoav Kallus, Woeden Kusner
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(2016)
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Yoav Kallus
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Multidisciplinary Sciences
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NATURE COMMUNICATIONS
(2017)
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Yoav Kallus
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(2014)
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Yoav Kallus
GEOMETRIAE DEDICATA
(2014)
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Physics, Fluids & Plasmas
Yoav Kallus, Salvatore Torquato
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Mathematics
Yoav Kallus, Dan Romik
ADVANCES IN MATHEMATICS
(2018)
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Computer Science, Theory & Methods
Alexei Andreanov, Yoav Kallus
DISCRETE & COMPUTATIONAL GEOMETRY
(2020)
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Multidisciplinary Sciences
Andrew Berdahl, Christa Brelsford, Caterina De Bacco, Marion Dumas, Vanessa Ferdinand, Joshua A. Grochow, Laurent Hebert-Dufresne, Yoav Kallus, Christopher P. Kempes, Artemy Kolchinsky, Daniel B. Larremore, Eric Libby, Eleanor A. Power, Caitlin A. Stern, Brendan D. Tracey
SCIENTIFIC REPORTS
(2019)
Review
Physics, Fluids & Plasmas
Yoav Kallus, Miranda Holmes-Cerfon
Article
Physics, Fluids & Plasmas
Yoav Kallus