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We present a method for discovering dense packings of general convex hard particles and apply it to study the dense packing behavior of a one-parameter family of particles with tetrahedral symmetry representing a deformation of the ideal…

Soft Condensed Matter · Physics 2013-01-28 Yoav Kallus , Veit Elser

We show that the formal procedure of integrating out the degrees of freedom of the small spheres in a binary hard-sphere mixture works equally well for non-additive as it does for additive mixtures. For highly asymmetric mixtures (small…

Soft Condensed Matter · Physics 2009-11-07 R. Roth , R. Evans , A. A. Louis

We present a theory for describing the inner structure of the electron bunch in the bubble regime starting from a random distribution of electrons inside the bubble and subsequently minimizing the system's energy. Consequently, we find a…

Plasma Physics · Physics 2020-07-08 Lars Reichwein , Johannes Thomas , Alexander Pukhov

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

The behaviour of materials under spatial confinement is sensitively dependent on the nature of the confining boundaries. In two dimensions, confinement within a hard circular boundary inhibits the hexagonal ordering observed in bulk systems…

Soft Condensed Matter · Physics 2015-06-17 Ian Williams , Erdal C. Oğuz , Robert L. Jack , Paul Bartlett , Hartmut Löwen , C. Patrick Royall

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,…

Soft Condensed Matter · Physics 2021-11-08 Esma Kurban , Adrian Baule

We examine the steady state properties of binary systems of driven inelastic hard spheres. The spheres, which move under the influence of gravity, are contained in a vertical cylinder with a vibrating base. We computed the trajectories of…

Statistical Mechanics · Physics 2009-11-10 Peter E. Krouskop , Julian Talbot

We model the thermodynamics of local structures within the hard sphere liquid at arbitrary volume fractions through the \textit{morphometric} calculation of $n$-body correlations. We calculate absolute free energies of local geometric…

Statistical Mechanics · Physics 2019-02-20 Joshua F. Robinson , Francesco Turci , Roland Roth , C. Patrick Royall

We apply a recent one-dimensional algorithm for predicting random close packing fractions of polydisperse hard spheres [Farr and Groot, J. Chem. Phys. 133, 244104 (2009)] to the case of lognormal distributions of sphere sizes and mixtures…

Materials Science · Physics 2013-06-07 Robert S. Farr

We numerically calculate the configurational entropy S_conf of a binary mixture of hard spheres, by using a perturbed Hamiltonian method trapping the system inside a given state, which requires less assumptions than the previous methods…

Disordered Systems and Neural Networks · Physics 2015-06-25 L. Angelani , G. Foffi

The latest research of the proportionality of atomic weights of chemical elements made it possible to obtain 3 x 3 matrices for the calculation of information coefficients of proportionality Ip that can be used for 3D modeling of the…

General Physics · Physics 2012-07-20 Mikhail M. Labushev

Disordered assemblies with maximum packing fraction are studied by discrete element numerical simulation for monodisperse or bidisperse spherical particles, the diameter ratio being set at three. A maximum packing fraction value corresponds…

Materials Science · Physics 2009-01-23 Jean-Noël Roux , François Chevoir , Fabrice Toussaint

To obtain spatial information about an arbitrary object in x-ray structure analysis, the standard method is to measure the intensity in the far field, i.e., the first-order photon correlation function of the coherently scattered x-ray…

Quantum Physics · Physics 2023-12-20 M. Bojer , J. Eckert , S. Karl , S. Richter , J. von Zanthier

We study the equilibrium phase diagram of binary mixtures of hard spheres as well as of parallel hard cubes. A superior cluster algorithm allows us to establish and to access the demixed phase for both systems and to investigate the subtle…

Statistical Mechanics · Physics 2009-10-30 Arnaud Buhot , Werner Krauth

A new tetrahedral structure model was developed and the geometrical structure of jammed disordered packings of monodisperse spheres with different friction coefficients was systematically characterized. An intrinsic structure feature is…

Soft Condensed Matter · Physics 2020-10-06 S. Q. Jiang , M. Z. Li

A combinatorial model of molecular conformational space that was previously developped (J. Gabarro-Arpa, Comp. Biol. and Chem. 27, (2003) 153-159), had the drawback that structures could not be properly embedded beacause it lacked explicit…

Chemical Physics · Physics 2016-11-17 Jacques Gabarro-Arpa

Packing problems have been a source of fascination for millenia and their study has produced a rich literature that spans numerous disciplines. Investigations of hard-particle packing models have provided basic insights into the structure…

Statistical Mechanics · Physics 2018-08-01 Salvatore Torquato

The rich variety of densest columnar structures of identical hard spheres inside a cylinder can surprisingly be constructed from a simple and computationally fast sequential deposition of cylinder-touching spheres, if the cylinder-to-sphere…

Mathematical Physics · Physics 2015-05-30 Ho-Kei Chan

This paper presents an optimization framework for Spatial Packaging of Interconnected Systems with Physical Interactions (SPI2) that addresses the geometric challenges of three-dimensional component placement and routing. While SPI2…

Computational Engineering, Finance, and Science · Computer Science 2026-05-19 S. Westerhof , T. Hofman

We suggest two metrics for assessing the quality of atomistic configurations of disordered materials, both of which are based on quantifying the orientational distribution of neighbours around each atom in the configuration. The first…

Materials Science · Physics 2012-11-20 Matthew J. Cliffe , Andrew L. Goodwin