scholarly journals CALCULATIONS OF HARD SPHERE PACKINGS IN LARGE CYLINDERS

1966 ◽  
Author(s):  
B.E. Clancy
Keyword(s):  
Hard Sphere ◽  
Sphere Packings

scholarly journals On the jamming phase diagram for frictionless hard-sphere packings

Soft Matter ◽  
2014 ◽  
Vol 10 (39) ◽  
pp. 7838-7848 ◽  
Author(s):  
Vasili Baranau ◽  
Ulrich Tallarek
Keyword(s):  
Phase Diagram ◽  
Hard Sphere ◽  
Sphere Packings

scholarly journals Structural and mechanical features of the order-disorder transition in experimental hard-sphere packings

2015 ◽  
Vol 91 (6) ◽  
Author(s):  
M. Hanifpour ◽  
N. Francois ◽  
V. Robins ◽  
A. Kingston ◽  
S. M. Vaez Allaei ◽  
...  
Keyword(s):  
Hard Sphere ◽  
Sphere Packings ◽  
Disorder Transition

scholarly journals Free volume distribution of nearly jammed hard sphere packings

2014 ◽  
Vol 141 (4) ◽  
pp. 044510 ◽  
Author(s):  
Moumita Maiti ◽  
Srikanth Sastry
Keyword(s):  
Free Volume ◽  
Hard Sphere ◽  
Volume Distribution ◽  
Sphere Packings

scholarly journals A linear programming algorithm to test for jamming in hard-sphere packings

2004 ◽  
Vol 197 (1) ◽  
pp. 139-166 ◽  
Author(s):  
Aleksandar Donev ◽  
Salvatore Torquato ◽  
Frank H. Stillinger ◽  
Robert Connelly
Keyword(s):  
Linear Programming ◽  
Hard Sphere ◽  
Programming Algorithm ◽  
Sphere Packings ◽  
Linear Programming Algorithm

Structure of hard sphere packings near Bernal density

2009 ◽  
Vol 50 (4) ◽  
pp. 761-768 ◽  
Author(s):  
A. V. Anikeenko ◽  
N. N. Medvedev
Keyword(s):  
Hard Sphere ◽  
Sphere Packings

scholarly journals ON THE HARD SPHERE MODEL AND SPHERE PACKINGS IN HIGH DIMENSIONS

2019 ◽  
Vol 7 ◽  
Author(s):  
MATTHEW JENSSEN ◽  
FELIX JOOS ◽  
WILL PERKINS
Keyword(s):  
Lower Bound ◽  
Packing Density ◽  
Hard Sphere ◽  
Statistical Physics ◽  
Sphere Packing ◽  
Hard Sphere Model ◽  
Sphere Packings ◽  
Sphere Model ◽  
Single Sphere ◽  
Mere Existence

We prove a lower bound on the entropy of sphere packings of $\mathbb{R}^{d}$ of density $\unicode[STIX]{x1D6E9}(d\cdot 2^{-d})$. The entropy measures how plentiful such packings are, and our result is significantly stronger than the trivial lower bound that can be obtained from the mere existence of a dense packing. Our method also provides a new, statistical-physics-based proof of the $\unicode[STIX]{x1D6FA}(d\cdot 2^{-d})$ lower bound on the maximum sphere packing density by showing that the expected packing density of a random configuration from the hard sphere model is at least $(1+o_{d}(1))\log (2/\sqrt{3})d\cdot 2^{-d}$ when the ratio of the fugacity parameter to the volume covered by a single sphere is at least $3^{-d/2}$. Such a bound on the sphere packing density was first achieved by Rogers, with subsequent improvements to the leading constant by Davenport and Rogers, Ball, Vance, and Venkatesh.

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