Numerical test of Palásti's conjecture on two-dimensional random packing density

Nature ◽  
1975 ◽  
Vol 254 (5498) ◽  
pp. 318-319 ◽  
Author(s):  
YOSHIAKI AKEDA ◽  
MOTOO HORI
Keyword(s):  
Packing Density ◽  
Numerical Test ◽  
Random Packing ◽  
Two Dimensional

The random packing of fibres in three dimensions

1995 ◽  
Vol 451 (1943) ◽  
pp. 737-746 ◽  
Keyword(s):  
Packing Density ◽  
Volume Fraction ◽  
Random Packing ◽  
Experimental Results ◽  
Three Dimensions ◽  
Approximate Relationship

An investigation has been carried out of the limiting packing density of an array of long straight rigid fibres distributed randomly in space as a function of the length of the fibre. We derive an approximate relationship between the limiting volume fraction V f and the slenderness λ of the fibres defined as length divided by diameter. The formula agrees well with our experimental results and those found in the literature.

Random sequential coding by Hamming distance

1986 ◽  
Vol 23 (03) ◽  
pp. 688-695 ◽  
Author(s):  
Yoshiaki Itoh ◽  
Herbert Solomon
Keyword(s):  
Computer Simulations ◽  
Packing Density ◽  
Hamming Distance ◽  
Random Packing ◽  
Empirical Constant ◽  
Simple Cubic ◽  
Simulation Results ◽  
Simple Models

Here we introduce two simple models: simple cubic random packing and random packing by Hamming distance. Consider the packing density γ d of dimension d by cubic random packing. From computer simulations up to dimension 11, γ d +1/γ d seems to approach 1. Also, we give simulation results for random packing by Hamming distance and discuss the behavior of packing density when dimensionality is increased. For the case of Hamming distances of 2 or 3, d–α fits the simulation results of packing density where α is an empirical constant. The variance of packing density is larger when k is even and smaller when k is odd, where k represents Hamming distance.

Statistical geometrical approach to random packing density of equal spheres

Nature ◽  
1974 ◽  
Vol 252 (5480) ◽  
pp. 202-205 ◽  
Author(s):  
Keishi Gotoh ◽  
John L. Finney
Keyword(s):  
Packing Density ◽  
Random Packing ◽  
Geometrical Approach

Multiple-Perturbation Two-Dimensional Near-Infrared Correlation Study of Time-Dependent Water Absorption Behavior of Cellulose Affected by Pressure

2013 ◽  
Vol 67 (2) ◽  
pp. 163-170 ◽  
Author(s):  
Hideyuki Shinzawa ◽  
Kimie Awa ◽  
Isao Noda ◽  
Yukihiro Ozaki
Keyword(s):  
Water Absorption ◽  
Packing Density ◽  
Near Infrared ◽  
Correlation Method ◽  
Underlying Mechanism ◽  
Polymer Structure ◽  
Correlation Study ◽  
Time Dependent ◽  
Two Dimensional ◽  
Spectral Changes

Transient water absorption by cellulosic samples manufactured under varying pressure was monitored by near-infrared spectroscopy to explore the absorption behavior affected by the pressure. A substantial level of variation of the spectral features was induced by the water absorption and changes in the pressure. The detail of the spectral changes was analyzed with a multiple-perturbation, two-dimensional (2D) correlation method to determine the underlying mechanism. The 2D correlation spectra indicated that the compression of the cellulose increased the packing density of the samples, preventing the penetration of water. In addition, the compression substantially disintegrated its crystalline structure and eventually resulted in the development of inter- and intrachain hydrogen-bonded structures arising from an interaction between the water and cellulose. Consequently, the cellulose samples essentially underwent an evolutionary change in the polymer structure as well as in the packing density during the compression. This structural change, in turn, led to the seemingly complicated absorption trends, depending on the pressure.

Random sequential coding by Hamming distance

1986 ◽  
Vol 23 (3) ◽  
pp. 688-695 ◽  
Author(s):  
Yoshiaki Itoh ◽  
Herbert Solomon
Keyword(s):  
Computer Simulations ◽  
Packing Density ◽  
Hamming Distance ◽  
Random Packing ◽  
Empirical Constant ◽  
Simple Cubic ◽  
Simulation Results ◽  
Simple Models

Here we introduce two simple models: simple cubic random packing and random packing by Hamming distance. Consider the packing density γ d of dimension d by cubic random packing. From computer simulations up to dimension 11, γ d+1/γ d seems to approach 1. Also, we give simulation results for random packing by Hamming distance and discuss the behavior of packing density when dimensionality is increased. For the case of Hamming distances of 2 or 3, d–α fits the simulation results of packing density where α is an empirical constant. The variance of packing density is larger when k is even and smaller when k is odd, where k represents Hamming distance.

Effect of particle shape on the random packing density of amorphous solids

2011 ◽  
Vol 208 (10) ◽  
pp. 2299-2302 ◽  
Author(s):  
Andriy V. Kyrylyuk ◽  
Albert P. Philipse
Keyword(s):  
Packing Density ◽  
Particle Shape ◽  
Amorphous Solids ◽  
Random Packing

Shape effects on the random-packing density of tetrahedral particles

2012 ◽  
Vol 86 (3) ◽  
Author(s):  
Jian Zhao ◽  
Shuixiang Li ◽  
Weiwei Jin ◽  
Xuan Zhou
Keyword(s):  
Packing Density ◽  
Random Packing ◽  
Shape Effects

PERIODICITY AND FINE STRUCTURE IN TWO-DIMENSIONAL GRAVITATIONAL RANDOM PACKING

1985 ◽  
Vol 3 (3-4) ◽  
pp. 89-99 ◽  
Author(s):  
E. M. TORY ◽  
C. B. YHAP ◽  
D. K. PICKARD
Keyword(s):  
Fine Structure ◽  
Random Packing ◽  
Two Dimensional
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