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Athermal packings of soft repulsive spheres exhibit a sharp jamming transition in the thermodynamic limit. Upon further compression, various structural and mechanical properties display clean power-law behavior over many decades in…

The present work surveys problems in $n$-dimensional space with $n$ large. Early development in the study of packing and covering in high dimensions was motivated by the geometry of numbers. Subsequent results, such as the discovery of the…

度量几何 · 数学 2022-02-24 Gábor Fejes Tóth

The behavior of nuclear matter is studied at low densities and temperatures using classical molecular dynamics with three different sets of potentials with different compressibility. Nuclear matter is found to arrange in crystalline…

核理论 · 物理学 2013-05-13 C. O. Dorso , P. A. Giménez Molinelli , J. I. Nichols , J. A. López

We examine the changeover in the particle configurations and the dynamics in dense Lennard-Jones binary mixtures composed of small and large particles. By varying the composition at a low temperature, we realize crystal with defects,…

软凝聚态物质 · 物理学 2011-05-17 Hayato Shiba , Akira Onuki

We generate and study an ensemble of isostatic jammed hard-sphere lattices. These lattices are obtained by compression of a periodic system with an adaptive unit cell containing a single sphere until the point of mechanical stability. We…

统计力学 · 物理学 2014-01-10 Yoav Kallus , Étienne Marcotte , Salvatore Torquato

Accurate descriptions of reference systems are a central task in liquid-state theories for the study of more complex systems. Using scaled particle theory (SPT), we derive a fully analytical description of the thermodynamic properties of a…

软凝聚态物质 · 物理学 2026-03-31 T. Hvozd , M. Hvozd , M. Holovko

The structural properties of dense random packings of identical hard spheres (HS) are investigated. The bond order parameter method is used to obtain detailed information on the local structural properties of the system for different…

软凝聚态物质 · 物理学 2015-05-27 B. A. Klumov , S. A. Khrapak , G. E. Morfill

We introduce the theoretical framework we use to study the bewildering variety of phases in condensed--matter physics. We emphasize the importance of the breaking of symmetries, and develop the idea of an order parameter through several…

凝聚态物理 · 物理学 2009-09-25 James P. Sethna

We study the problem of discrete geometric packing. Here, given weighted regions (say in the plane) and points (with capacities), one has to pick a maximum weight subset of the regions such that no point is covered more than its capacity.…

计算几何 · 计算机科学 2011-12-01 Alina Ene , Sariel Har-Peled , Benjamin Raichel

Soft condensed matter structures often challenge us with complex many-body phenomena governed by collective modes spanning wide spatial and temporal domains. In order to successfully tackle such problems mesoscopic coarse-grained (CG)…

软凝聚态物质 · 物理学 2023-07-12 Vlad P Sokhan , Michael A Seaton , Ilian T Todorov

Structural quantities such as order parameters and correlation functions are often employed to gain insight into the physical behavior and properties of condensed matter systems. While standard quantities for characterizing structure exist,…

软凝聚态物质 · 物理学 2017-08-23 Aaron S. Keys , Christopher R. Iacovella , Sharon C. Glotzer

We study properties of jammed packings of frictionless spheres over a wide range of volume fractions. There exists a crossover volume fraction which separates deeply jammed solids from marginally jammed solids. In deeply jammed solids, all…

软凝聚态物质 · 物理学 2011-03-25 Cang Zhao , Kaiwen Tian , Ning Xu

We numerically study the jamming transition of frictionless polydisperse spheres in three dimensions. We use an efficient thermalisation algorithm for the equilibrium hard sphere fluid and generate amorphous jammed packings over a range of…

统计力学 · 物理学 2017-10-16 Misaki Ozawa , Ludovic Berthier , Daniele Coslovich

This is an introductory review of the physics of topological quantum matter with cold atoms. Topological quantum phases, originally discovered and investigated in condensed matter physics, have recently been explored in a range of different…

量子气体 · 物理学 2019-04-03 Dan-Wei Zhang , Yan-Qing Zhu , Y. X. Zhao , Hui Yan , Shi-Liang Zhu

We study numerically the phases and dynamics of a dense collection of self-propelled particles with soft repulsive interactions in two dimensions. The model is motivated by recent in vitro experiments on confluent monolayers of migratory…

软凝聚态物质 · 物理学 2015-05-28 Silke Henkes , Yaouen Fily , M. Cristina Marchetti

We model the packing structure of a marginally jammed bulk ensemble of polydisperse spheres using an extended granocentric mode explicitly taking into account rattlers. This leads to a relation- ship between the characteristic parameters of…

Maximally random jammed (MRJ) particle packings can be viewed as prototypical glasses in that they are maximally disordered while simultaneously being mechanically rigid. The prediction of the MRJ packing density phi, among other packing…

软凝聚态物质 · 物理学 2016-05-24 Jianxiang Tian , Y. Xu , Y. Jiao , S. Torquato

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

We consider stochastic rules of mass transport which lead to steady states that factorize over the links of a one-dimensional ring. Based on the knowledge of the steady states, we derive the onset of a phase transition from a liquid to a…

统计力学 · 物理学 2015-05-13 B. Waclaw , J. Sopik , W. Janke , H. Meyer-Ortmanns

The isostatic jamming limit of frictionless spherical particles from Edwards' statistical mechanics [Song \emph{et al.}, Nature (London) {\bf 453}, 629 (2008)] is generalized to arbitrary dimension $d$ using a liquid-state description. The…

统计力学 · 物理学 2010-11-29 Yuliang Jin , Patrick Charbonneau , Sam Meyer , Chaoming Song , Francesco Zamponi