scholarly journals Close packing density of polydisperse hard spheres

2009 ◽  
Vol 131 (24) ◽  
pp. 244104 ◽  
Author(s):  
Robert S. Farr ◽  
Robert D. Groot
Keyword(s):  
Packing Density ◽  
Hard Spheres ◽  
Close Packing

Quantum-chemical analysis of small silver clusters

1987 ◽  
Vol 52 (7) ◽  
pp. 1652-1657 ◽  
Author(s):  
Grigorii V. Gadiyak ◽  
Yurii N. Morokov ◽  
Mojmír Tomášek
Keyword(s):  
Hard Spheres ◽  
Electronic Configuration ◽  
Close Packing ◽  
Basis Sets ◽  
Silver Clusters ◽  
Quantum Chemical Analysis ◽  
Spin Distribution ◽  
Spin Polarized ◽  
Atomic Silver ◽  
Equilibrium Geometries

Total energy calculations of three- and four-atomic silver clusters have been performed by the spin-polarized version of the CNDO/2 method to get the most stable equilibrium geometries, atomization energies, and charge and spin distribution on the atoms for three different basis sets: {s}, {sp}, and {spd}. When viewed from the equilateral triangle and square geometries, the last electronic configuration, i.e. the {spd} one, appears to be most stable with respect to the geometrical deformations considered. In this case, the behaviour of the atoms of both clusters resembles that of hard spheres (i.e. close-packing).

New bounds on the sedimentation velocity for hard, charged and adhesive hard-sphere colloids

2011 ◽  
Vol 667 ◽  
pp. 403-425 ◽  
Author(s):  
W. TODD GILLELAND ◽  
SALVATORE TORQUATO ◽  
WILLIAM B. RUSSEL
Keyword(s):  
Brownian Motion ◽  
Upper Bound ◽  
Hard Sphere ◽  
Large Scale ◽  
Hard Spheres ◽  
Colloidal Dispersions ◽  
Sedimentation Velocity ◽  
Close Packing ◽  
Interparticle Potential ◽  
Equilibrium Microstructure

The sedimentation velocity of colloidal dispersions is known from experiment and theory at dilute concentrations to be quite sensitive to the interparticle potential with attractions/repulsions increasing/decreasing the rate significantly at intermediate volume fractions. Since the differences necessarily disappear at close packing, this implies a substantial maximum in the rate for attractions. This paper describes the derivation of a robust upper bound on the velocity that reflects these trends quantitatively and motivates wider application of a simple theory formulated for hard spheres. The treatment pertains to sedimentation velocities slow enough that Brownian motion sustains an equilibrium microstructure without large-scale inhomogeneities in density.

The Force-Biased Algorithm for the Irregular Close Packing of Equal Hard Spheres

1989 ◽  
Vol 3 (4) ◽  
pp. 201-212 ◽  
Author(s):  
J. Mościński ◽  
M. Bargieł ◽  
Z. A. Rycerz ◽  
P. W. M. Jacobs
Keyword(s):  
Hard Spheres ◽  
Close Packing

scholarly journals Random-close packing limits for monodisperse and polydisperse hard spheres

Soft Matter ◽  
2014 ◽  
Vol 10 (21) ◽  
pp. 3826 ◽  
Author(s):  
Vasili Baranau ◽  
Ulrich Tallarek
Keyword(s):  
Hard Spheres ◽  
Close Packing ◽  
Random Close Packing

C-language program for the irregular close packing of hard spheres

1991 ◽  
Vol 64 (1) ◽  
pp. 183-192 ◽  
Author(s):  
Monika Bargieł ◽  
Jacek Mościński
Keyword(s):  
Hard Spheres ◽  
Close Packing ◽  
Language Program ◽  
C Language

scholarly journals On the relation between virial coefficients and the close-packing of hard disks and hard spheres

2011 ◽  
Vol 134 (8) ◽  
pp. 084502 ◽  
Author(s):  
Miguel Ángel G. Maestre ◽  
Andrés Santos ◽  
Miguel Robles ◽  
Mariano López de Haro
Keyword(s):  
Hard Spheres ◽  
Virial Coefficients ◽  
Close Packing ◽  
Hard Disks

Padé approximants and the random close packing of hard spheres and disks

1982 ◽  
Vol 76 (1) ◽  
pp. 749-751 ◽  
Author(s):  
V. C. Aguilera‐Navarro ◽  
M. Fortes ◽  
M. de Llano ◽  
A. Plastino
Keyword(s):  
Hard Spheres ◽  
Padé Approximants ◽  
Close Packing ◽  
Random Close Packing ◽  
Pade Approximants
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