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We identify the maximally dense lattice packings of tangent-disk trimers with fixed bond angles ($\theta = \theta_0$) and contrast them to both their nonmaximally-dense-but-strictly-jammed lattice packings as well as the disordered jammed…

软凝聚态物质 · 物理学 2019-09-04 Austin D. Griffith , Robert S. Hoy

We show for the first time that collectively jammed disordered packings of three-dimensional monodisperse frictionless hard spheres can be produced and tuned using a novel numerical protocol with packing density $\phi$ as low as 0.6. This…

统计力学 · 物理学 2011-01-10 Yang Jiao , Frank H. Stillinger , Sal Torquato

Bent-core trimers are a simple model system for which the competition between crystallization and glass-formation can be tuned by varying a single parameter:\ the bond angle $\theta_0$. Using molecular dynamics simulations, we examine how…

软凝聚态物质 · 物理学 2019-10-23 Elvin D. Salcedo , Hong T. Nguyen , Robert S. Hoy

Jammed disordered packings of non-spherical particles show significant variation in the packing density as a function of particle shape for a given packing protocol. Rotationally symmetric elongated shapes such as ellipsoids,…

软凝聚态物质 · 物理学 2021-11-08 Esma Kurban , Adrian Baule

We study jamming in model freely rotating polymers as a function of chain length $N$ and bond angle $\theta_0$. The volume fraction at jamming, $\phi_J(\theta_0)$, is minimal for rigid-rod-like chains ($\theta_0 = 0$), and increases…

软凝聚态物质 · 物理学 2017-02-15 Robert S. Hoy

We have discovered a new family of three-dimensional crystal sphere packings that are strictly jammed (i.e., mechanically stable) and yet possess an anomalously low density. This family constitutes an uncountably infinite number of crystal…

软凝聚态物质 · 物理学 2009-11-13 S. Torquato , F. H. Stillinger

All hard, convex shapes are conjectured by Ulam to pack more densely than spheres, which have a maximum packing fraction of {\phi} = {\pi}/\sqrt18 ~ 0.7405. For many shapes, simple lattice packings easily surpass this packing fraction. For…

The jamming of bi-disperse soft core disks is considered, using a variety of different protocols to produce the jammed state. In agreement with other works, we find that cooling and compression can lead to a broad range of jamming packing…

软凝聚态物质 · 物理学 2015-05-19 Daniel Vågberg , Peter Olsson , S. Teitel

A mechanically-based structural optimization method is utilized to explore the phenomena of jamming for assemblies of frictionless Platonic solids. Systems of these regular convex polyhedra exhibit mechanically stable phases with density…

软凝聚态物质 · 物理学 2012-05-08 Kyle C. Smith , Meheboob Alam , Timothy S. Fisher

We report the existence of a universal trimer state induced by an impurity interacting with a two-component spin-orbit coupled Fermi gas in two dimensions. In the zero-density limit with a vanishing Fermi sea, the trimer is stabilized by…

量子气体 · 物理学 2016-11-23 Xingze Qiu , Xiaoling Cui , Wei Yi

We study jammed configurations of hard spheres as a function of compression speed using an event-driven molecular dynamics algorithm. We find that during the compression, the pressure follows closely the metastable liquid branch until the…

软凝聚态物质 · 物理学 2016-05-19 Michiel Hermes , Marjolein Dijkstra

The maximally random jammed (MRJ) state is the most random configuration of strictly jammed (mechanically rigid) nonoverlapping objects. MRJ packings are hyperuniform, meaning their long-wavelength density fluctuations are anomalously…

软凝聚态物质 · 物理学 2023-12-11 Charles Emmett Maher , Yang Jiao , Salvatore Torquato

We investigate the formation of trimers in an infinite one-dimensional lattice model of hard-core particles with single-particle hopping $t$ and and nearest-neighbour two-body $U$ and three-body $V$ interactions of relevance to Rydberg…

量子物理 · 物理学 2021-01-12 Arthur Christianen , John Sous

Dense polyhedron packings are useful models of a variety of condensed matter and biological systems and have intrigued scientists mathematicians for centuries. Recently, organizing principles for the types of structures associated with the…

软凝聚态物质 · 物理学 2011-09-28 Yang Jiao , Sal Torquato

Correlated electron materials with molecular orbital states extending over transition metal clusters can host multiferroicity, spin frustration, and unconventional insulating phases. However, the fundamental criteria that govern cluster…

材料科学 · 物理学 2025-05-21 Varsha Kumari , Julia Bauer , Alexandru B. Georgescu

Among the family of hard convex lens-shaped particles (lenses), the one with aspect ratio equal to 2/3 is `optimal' in the sense that the maximally random jammed (MRJ) packings of such lenses achieve the highest packing fraction $\phi_{\rm…

软凝聚态物质 · 物理学 2020-01-01 Giorgio Cinacchi , Salvatore Torquato

The local structure of disordered jammed packings of monodisperse spheres without friction, generated by the Lubachevsky-Stillinger algorithm, is studied for packing fractions above and below 64%. The structural similarity of the particle…

软凝聚态物质 · 物理学 2015-06-04 Sebastian C. Kapfer , Walter Mickel , Klaus Mecke , Gerd E. Schröder-Turk

Dense, disordered packings of particles are useful models of low-temperature amorphous phases of matter, biological systems, granular media, and colloidal systems. The study of dense packings of nonspherical particles enables one to…

软凝聚态物质 · 物理学 2022-05-09 Charles Emmett Maher , Frank H. Stillinger , Salvatore Torquato

We present the first study of disordered jammed hard-sphere packings in four-, five- and six-dimensional Euclidean spaces. Using a collision-driven packing generation algorithm, we obtain the first estimates for the packing fractions of the…

统计力学 · 物理学 2009-11-11 M. Skoge , A. Donev , F. H. Stillinger , S. Torquato

Using a Lubachevsky-Stillinger-like growth algorithm combined with biased SWAP Monte Carlo and transient degrees of freedom, we generate ultradense disordered jammed ellipse packings. For all aspect ratios $\alpha$, these packings exhibit…

软凝聚态物质 · 物理学 2024-10-01 Robert S. Hoy
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