Visualization of the percolation phenomenon in two-dimensional arrangement of metallic spherical particles

2017 ◽  
Author(s):  
Paweł Okal ◽  
Przemysław Rogalski ◽  
Paweł Żukowski
Keyword(s):  
Spherical Particles ◽  
Two Dimensional ◽  
Percolation Phenomenon

scholarly journals Derivation of Equations for a Size Distribution of Spherical Particles in Non-Transparent Materials

2021 ◽  
Vol 5 (4) ◽  
pp. 53-60
Author(s):  
Daniel Gurgul ◽  
Andriy Burbelko ◽  
Tomasz Wiktor
Keyword(s):  
Probability Density Function ◽  
Probability Density ◽  
Size Distribution ◽  
Density Function ◽  
Cross Section ◽  
Three Dimensional ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Mathematical Formulas ◽  
Transparent Materials

This paper presents a new proposition on how to derive mathematical formulas that describe an unknown Probability Density Function (PDF3) of the spherical radii (r3) of particles randomly placed in non-transparent materials. We have presented two attempts here, both of which are based on data collected from a random planar cross-section passed through space containing three-dimensional nodules. The first attempt uses a Probability Density Function (PDF2) the form of which is experimentally obtained on the basis of a set containing two-dimensional radii (r2). These radii are produced by an intersection of the space by a random plane. In turn, the second solution also uses an experimentally obtained Probability Density Function (PDF1). But the form of PDF1 has been created on the basis of a set containing chord lengths collected from a cross-section.The most important finding presented in this paper is the conclusion that if the PDF1 has proportional scopes, the PDF3 must have a constant value in these scopes. This fact allows stating that there are no nodules in the sample space that have particular radii belonging to the proportional ranges the PDF1.

Two-Dimensional Self-Assembly of Spherical Particles Using a Liquid Mold and Its Drying Process

Langmuir ◽  
2003 ◽  
Vol 19 (13) ◽  
pp. 5179-5183 ◽  
Author(s):  
Y. Masuda ◽  
K. Tomimoto ◽  
K. Koumoto
Keyword(s):  
Self Assembly ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Drying Process

Solid circulation rate and particle collisions in quasi two-dimensional water fluidized beds of spherical particles

2014 ◽  
Vol 253 ◽  
pp. 295-303 ◽  
Author(s):  
Tatjana Kaluđerović Radoičić ◽  
Mihal Đuriš ◽  
Radmila Garić-Grulović ◽  
Zorana Arsenijević ◽  
Željko Grbavčić
Keyword(s):  
Fluidized Beds ◽  
Spherical Particles ◽  
Circulation Rate ◽  
Two Dimensional ◽  
Particle Collisions ◽  
Solid Circulation Rate

Three Dimensional Fourier Analysis of the Ribonucleoprotein Particle (Ribosome) Helix of Entamoeba Invadens

1970 ◽  
Vol 28 ◽  
pp. 266-267 ◽  
Author(s):  
James A. Lake ◽  
Henry S. Slayter
Keyword(s):  
Fourier Analysis ◽  
Three Dimensional ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Ribonucleoprotein Particle ◽  
Single View ◽  
Ordered Arrays ◽  
Dimensional Object ◽  
Entamoeba Invadens ◽  
Lines Of Evidence

Cysts of Entamoeba Invadens contain large ordered arrays of closely packed helices which absorb strongly in the ultraviolet. The helices consist of small, approximately spherical particles about 250Å in diameter. Several lines of evidence have indicated that they may be ribosomes. We shall refer to these particles as ribosomes in this paper.DeRosier and Klug (1) have demonstrated that it is possible to reconstruct a three dimensional object from two dimensional projected images, i.e. micrographs, provided that sufficient views, of individual molecules are available. A single view (micrograph) of one ribosomal helix provides many views of individual ribosomes.

Lattice-Boltzmann simulations of particles in non-zero-Reynolds-number flows

1999 ◽  
Vol 385 ◽  
pp. 41-62 ◽  
Author(s):  
DEWEI QI
Keyword(s):  
Reynolds Number ◽  
Cross Section ◽  
Lattice Boltzmann ◽  
Three Dimensional ◽  
Spherical Particles ◽  
Computational Results ◽  
Two Dimensional ◽  
Lattice Boltzmann Simulations ◽  
Boltzmann Method ◽  
Reynolds Number Flows

A lattice-Boltzmann method has been developed to simulate suspensions of both spherical and non-spherical particles in finite-Reynolds-number flows. The results for sedimentation of a single elliptical particle are shown to be in excellent agreement with the results of Huang, Hu & Joseph (1998) who used a finite-element method. Sedimentation of two-dimensional circular and rectangular particles in a two-dimensional channel and three-dimensional spherical particles in a tube with square cross-section is simulated. Computational results are consistent with experimentally observed phenomena, such as drafting, kissing and tumbling.

Light Propagation in Composite Two-Dimensional Arrays of Polystyrene Spherical Particles

Langmuir ◽  
2000 ◽  
Vol 16 (2) ◽  
pp. 636-642 ◽  
Author(s):  
Sachiko I. Matsushita ◽  
Yoshie Yagi ◽  
Tetsuya Miwa ◽  
Donald A. Tryk ◽  
Takao Koda ◽  
...  
Keyword(s):  
Light Propagation ◽  
Spherical Particles ◽  
Two Dimensional

scholarly journals Efficient design, accurate fabrication and effective characterization of plasmonic quasicrystalline arrays of nano-spherical particles

2016 ◽  
Vol 6 (1) ◽  
Author(s):  
Farhad A. Namin ◽  
Yu A. Yuwen ◽  
Liu Liu ◽  
Anastasios H. Panaretos ◽  
Douglas H. Werner ◽  
...  
Keyword(s):  
Periodic Structures ◽  
Mie Theory ◽  
Quantitative Model ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Efficient Design ◽  
Spherical Nanoparticles ◽  
Quantitative Results ◽  
Spherical Arrays

Abstract In this paper, the scattering properties of two-dimensional quasicrystalline plasmonic lattices are investigated. We combine a newly developed synthesis technique, which allows for accurate fabrication of spherical nanoparticles, with a recently published variation of generalized multiparticle Mie theory to develop the first quantitative model for plasmonic nano-spherical arrays based on quasicrystalline morphologies. In particular, we study the scattering properties of Penrose and Ammann- Beenker gold spherical nanoparticle array lattices. We demonstrate that by using quasicrystalline lattices, one can obtain multi-band or broadband plasmonic resonances which are not possible in periodic structures. Unlike previously published works, our technique provides quantitative results which show excellent agreement with experimental measurements.

scholarly journals TUMBLING MOTION OF ELLIPTICAL PARTICLES IN VISCOUS TWO-DIMENSIONAL FLUIDS

2001 ◽  
Vol 12 (01) ◽  
pp. 127-139 ◽  
Author(s):  
GERALD H. RISTOW
Keyword(s):  
Finite Difference ◽  
Infinite System ◽  
System Size ◽  
Terminal Velocity ◽  
Spherical Particles ◽  
Two Dimensional ◽  
Finite Difference Technique ◽  
Elliptical Particles ◽  
Tumbling Motion ◽  
The One

The settling dynamics of spherical and elliptical particles in a viscous Newtonian fluid are investigated numerically using a finite difference technique. The terminal velocity for spherical particles is calculated for different system sizes and the extrapolated value for an infinite system size is compared to the Oseen approximation. Special attention is given to the settling and tumbling motion of elliptical particles where their terminal velocity is compared with the one of the surface equivalent spherical particle.

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