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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

Alternate contraction and drastic expansion, i.e., `breathing' of electronic subshells, the effects of fusion of two subshells into one subshell and its subsequent fission (splitting) into the original subshells, as well as multiple…

Atomic Physics · Physics 2013-02-05 V K Dolmatov

Packing of spheres is a problem with a long history dating back to Kepler's conjecture in 1611. The highest density is realized in face-centred-cubic (FCC) and hexagonal-close-packed (HCP) arrangements. These are only limiting examples of…

Statistical Mechanics · Physics 2023-10-17 R. Ganesh , Amna Khairi Nasr

Both ordered and disordered microphases ubiquitously form in suspensions of particles that interact through competing short-range attraction and long-range repulsion (SALR). While ordered microphases are more appealing materials targets,…

Soft Condensed Matter · Physics 2022-05-03 Yi Hu , Patrick Charbonneau

Disks of two sizes are confined to a long and narrow channel. The axis and the plane of the channel are horizontal. The channel is closed off by pistons that freeze jammed microstates out of loose disk configurations, agitated randomly at…

Soft Condensed Matter · Physics 2025-12-12 Dan Liu , Michael Karbach , Gerhard Müller

By generalizing a geometric argument for frictionless spheres, a model is proposed for the jamming density $\phi_J$ of mechanically stable packings of bidisperse, frictional spheres. The monodisperse, $\mu_s$-dependent jamming density…

A restricted Boltzmann machine (RBM) is an undirected graphical model constructed for discrete or continuous random variables, with two layers, one hidden and one visible, and no conditional dependency within a layer. In recent years, RBMs…

Machine Learning · Statistics 2019-09-12 Andee Kaplan , Daniel Nordman , Stephen Vardeman

Elastic properties and internal states of isotropic sphere packings are studied by numerical simulations. Several numerical protocols to assemble dense configurations are compared. One, which imitates experiments with lubricated contacts,…

Materials Science · Physics 2009-01-16 Ivana Agnolin , Jean-Noël Roux

The study of hard-particle packings is of fundamental importance in physics, chemistry, cell biology, and discrete geometry. Much of the previous work on hard-particle packings concerns their densest possible arrangements. By contrast, we…

Soft Condensed Matter · Physics 2021-03-12 Charles Emmett Maher , Frank H. Stillinger , Salvatore Torquato

The densest local packings of N three-dimensional identical nonoverlapping spheres within a radius Rmin(N) of a fixed central sphere of the same size are obtained for selected values of N up to N = 1054. In the predecessor to this paper…

Statistical Mechanics · Physics 2013-05-29 Adam B. Hopkins , Frank H. Stillinger , Salvatore Torquato

We present angle-resolved photoemission studies of (La1-zPrz)2-2xSr1+2xMn2O7 with x=0.4 and z=0.1,0.2 and 0.4 along with density functional theory calculations and x-ray scattering data. Our results show that the bilayer splitting in the…

We examine the symmetry-breaking effect of fixed constellations of particles on the surface-directed spinodal decomposition of binary blends in the presence of particles whose surfaces have a preferential affinity for one of the components.…

Chemical Physics · Physics 2020-06-16 Supriyo Ghosh , Arnab Mukherjee , Raymundo Arroyave , Jack F. Douglas

Recent discoveries have spurred the theoretical prediction and experimental realization of novel materials that have topological properties arising from band inversion. Such topological insulators are insulating in the bulk but have…

Mesoscale and Nanoscale Physics · Physics 2017-07-26 M. Kotulla , U. Zülicke

In this work we use Monte Carlo simulations to study the phase behavior of spherical caps confined between two parallel hard walls separated by a distance H. The particle model consists of a hard sphere of diameter \sigma cut off by a plane…

Soft Condensed Matter · Physics 2013-04-03 Carlos Avendano , Chekesha M. Liddell Watson , Fernando A. Escobedo

The formation of (bio)molecular condensates via liquid-liquid phase separation in cells has received increasing attention, as these coacervates play important functional and regulatory roles within biological systems. However, the majority…

Soft Condensed Matter · Physics 2022-11-24 Arash Nikoubashman , Miho Yanagisawa

We analyze the geometric structure and mechanical stability of a complete set of isostatic and hyperstatic sphere packings obtained via exact enumeration. The number of nonisomorphic isostatic packings grows exponentially with the number of…

Soft Condensed Matter · Physics 2015-06-04 Robert S. Hoy , Jared Harwayne-Gidansky , Corey S. O'Hern

Understanding intermittency, an ubiquitous behavior in flows of packed grains, is pivotal for establishing the rheology of granular matter. A straightforward explanation has been missing despite the long development of theories at various…

Soft Condensed Matter · Physics 2024-03-05 Cheng-En Tsai , Wei-Chih Li , H. -C. Fan-Chiang , Pai-Yi Hsiao , Jih-Chiang , Tsai

Intuition tells us that a rolling or spinning sphere will eventually stop due to the presence of friction and other dissipative interactions. The resistance to rolling and spinning/twisting torque that stops a sphere also changes the…

Optimised stellarators and other magnetic-confinement devices having the property that the average magnetic curvature is favourable for all particle orbits are called maximum-$J$ devices, and have recently been shown to be immune to…

Plasma Physics · Physics 2017-08-15 G. G. Plunk , J. W. Connor , P. Helander

We answer the questions raised by Donev, Torquato, Stillinger, and Connelly in their "Comment on "Jamming at zero temperature and zero applied stress: The epitome of disorder.' " We emphasize that we follow a fundamentally different…

Soft Condensed Matter · Physics 2009-11-11 C. S. O'Hern , L. E. Silbert , A. J. Liu , S. R. Nagel
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