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Hyperuniform many-particle distributions possess a local number variance that grows more slowly than the volume of an observation window, implying that the local density is effectively homogeneous beyond a few characteristic length scales.…

Statistical Mechanics · Physics 2015-05-27 Chase E. Zachary , Yang Jiao , Salvatore Torquato

The standard formulation of the smoothed particle hydrodynamics (SPH) assumes that the local density distribution is differentiable. This assumption is used to derive the spatial derivatives of other quantities. However, this assumption…

Cosmology and Nongalactic Astrophysics · Physics 2015-06-04 Takayuki R. Saitoh , Junichiro Makino

We show that for a standard continuously-polydisperse model with particle-diameter distribution $P(\sigma) \propto \sigma^{-3}$ and polydispersity index $\Delta$, employing a combination of standard SWAP moves and transient degree of…

Soft Condensed Matter · Physics 2025-08-14 Robert S. Hoy

By molecular dynamic simulations we study a system of particles interacting through a continuous isotropic pairwise core-softened potential consisting of a repulsive shoulder and an attractive well. The model displays a phase diagram with…

Soft Condensed Matter · Physics 2015-05-18 Pol Vilaseca , Giancarlo Franzese

Smoothed Particle Hydrodynamics (SPH) is a Lagrangian method for solving the fluid equations that is commonplace in astrophysics, prized for its natural adaptivity and stability. The choice of variable to smooth in SPH has been the topic of…

Astrophysics of Galaxies · Physics 2021-05-26 Josh Borrow , Matthieu Schaller , Richard G. Bower

We show that hard spheres confined between two parallel hard plates pack denser with periodic adaptive prismatic structures which are composed of alternating prisms of spheres. The internal structure of the prisms adapts to the slit height…

Obtaining general relations between macroscopic properties of random assemblies, such as density, and the microscopic properties of their constituent particles, such as shape, is a foundational challenge in the study of amorphous materials.…

Soft Condensed Matter · Physics 2016-05-05 Yoav Kallus

We present experimental measurements of dynamical heterogeneities in a dense system of microgel spheres, sheared at different rates and at different packing fractions in a microfluidic channel, and visualized with high speed digital video…

Soft Condensed Matter · Physics 2015-03-19 K. N. Nordstrom , J. P. Gollub , D. J. Durian

The probability of finding a spherical cavity or "hole" of arbitrarily large size in typical disordered many-particle systems in the infinite-size limit (e.g., equilibrium liquid states) is non-zero. Such "hole" statistics are intimately…

Statistical Mechanics · Physics 2017-05-25 G. Zhang , F. H. Stillinger , S. Torquato

Materials featuring anomalous suppression of density fluctuations over large length scales are emerging systems known as disordered hyperuniform. The underlying hidden order renders them appealing for several applications, such as light…

Confinement can have a considerable effect on the behavior of particle systems, and is therefore an effective way to discover new phenomena. A notable example is a system of identical bosons at low temperature under an external field…

Quantum Gases · Physics 2024-01-10 Matteo Ciardi , Fabio Cinti , Giuseppe Pellicane , Santi Prestipino

We revisit the densest binary sphere packings (DBSP) under the periodic boundary conditions and present an updated phase diagram, including newly found 12 putative densest structures over the $x - \alpha$ plane, where $x$ is the relative…

Materials Science · Physics 2021-02-24 Ryotaro Koshoji , Mitsuaki Kawamura , Masahiro Fukuda , Taisuke Ozaki

The concept of hyperuniformity has been a useful tool in the study of large-scale density fluctuations in systems ranging across the natural and mathematical sciences. One can rank a large class of hyperuniform systems by their ability to…

Statistical Mechanics · Physics 2019-02-20 Timothy M. Middlemas , Frank H. Stillinger , Salvatore Torquato

Particle size polydispersity can help to inhibit crystallization of the hard-sphere fluid into close-packed structures at high packing fractions and thus is often employed to create model glass-forming systems. Nonetheless, it is known that…

Soft Condensed Matter · Physics 2018-06-13 Beth A. Lindquist , Ryan B. Jadrich , Thomas M. Truskett

Since any non-trivial infrared dynamics in strongly correlated electron matter must be controlled by a critical fixed point, we argue that the form of the single-particle propagator can be deduced simply by imposing scale invariance. As a…

Strongly Correlated Electrons · Physics 2013-12-17 Philip W. Phillips , Brandon W. Langley , Jimmy A. Hutasoit

Random sequential addition (RSA) time-dependent packing process, in which congruent hard hyperspheres are randomly and sequentially placed into a system without interparticle overlap, is a useful packing model to study disorder in high…

Statistical Mechanics · Physics 2014-02-21 G. Zhang , S. Torquato

Structural correlations have a significant effect on light propagation in disordered media. We numerically investigate the role of short-range order in light absorption in thin films with disordered nanoholes. Two types of disordered…

Mesoscale and Nanoscale Physics · Physics 2018-02-06 M. Q. Liu , C. Y. Zhao , B. X. Wang , Xing Fang

The problem of consistency of smoothed particle hydrodynamics (SPH) has demanded considerable attention in the past few years due to the ever increasing number of applications of the method in many areas of science and engineering. A loss…

Numerical Analysis · Mathematics 2016-05-18 Leonardo Di G. Sigalotti , Jaime Klapp , Otto Rendón , Carlos A. Vargas , Franklin Peña-Polo

We present REMIX, a smoothed particle hydrodynamics (SPH) scheme designed to alleviate effects that typically suppress mixing and instability growth at density discontinuities in SPH simulations. We approach this problem by directly…

Studies of random close packing of spheres have advanced our knowledge about the structure of systems such as liquids, glasses, emulsions, granular media, and amorphous solids. When these systems are confined their structural properties…

Soft Condensed Matter · Physics 2009-12-17 Kenneth W. Desmond , Eric R. Weeks