Nearest neighbor approximation and the distribution function of "free" electrons over distances and velocities in atomic plasma

2019 ◽  
Vol 3 (2) ◽  
pp. 4-9
Author(s):  
A.L. Khomkin ◽  
A.S. Shumikhin
Keyword(s):  
Distribution Function ◽  
Nearest Neighbor ◽  
Free Electrons ◽  
Neighbor Approximation

Stable Divergence Angles of a Magnetic Dipole Spiral Array

1997 ◽  
Vol 11 (24) ◽  
pp. 1069-1075
Author(s):  
X. D. Fan ◽  
L. A. Bursill
Keyword(s):  
Nearest Neighbor ◽  
Initial Conditions ◽  
Equations Of Motion ◽  
Divergence Angle ◽  
Magnetic Dipoles ◽  
Analytical Proof ◽  
The Difference ◽  
Spiral Array ◽  
Map Analysis ◽  
Neighbor Approximation

An analytical model is introduced for the experiment of Douady and Couder [Phys. Rev. Lett.68, 2098 (1992), where phyllotactic patterns appear as a dynamical result of the interaction between magnetic dipoles. The difference equation for the divergence angle (i.e. the angle between successive radial vectors) is obtained by solving the equations of motion with a second nearest neighbor (SNN) approximation. A one-dimensional map analysis as well as a comprehensive analytical proof shows that the divergence angle always converges to a single attractor regardless of the initial conditions. This attractor is approximately the Fibonacci angle(~ 138°) within variations due to a growth factor μ of the pattern. The system is proved to be stable with the SNN approximation. Further analysis with a third nearest neighbor approximation (TNN) shows extra linearly stable attractors may appear around the Lucas angle (~ 99.5°).

Interactions dans une chaîne de sphères ou de cavités alignées. Plasmons de surface et énergie de Van der Waals

1977 ◽  
Vol 55 (16) ◽  
pp. 1407-1422 ◽  
Author(s):  
A. Ronveaux ◽  
A. Moussiaux ◽  
A. A. Lucas
Keyword(s):  
Power Series ◽  
Surface Plasmon ◽  
Nearest Neighbor ◽  
Van Der Waals ◽  
Nearest Neighbors ◽  
Distance Ratio ◽  
First Approximation ◽  
Spherical Cavities ◽  
Plasmon Oscillation ◽  
Neighbor Approximation

The eigenmodes of surface plasmon oscillation for an arbitrary number of aligned spheres or spherical cavities are given by a power series of the radius–distance ratio. The Van der Waals energy is calculated in first approximation for an arbitrary chain, and in second approximation for an array of two holes and two spheres.The error due to the neglect of all interactions except that between nearest neighbors is analysed in detail together with the bands of the infinite chain in the nearest neighbor approximation. [Journal translation]

Effect of boron impurity in a carbon nanotube superlattice

2017 ◽  
Vol 31 (14) ◽  
pp. 1750106
Author(s):  
Zahra Karimi Ghobadi ◽  
Aliasghar Shokri ◽  
Sonia Zarei
Keyword(s):  
Carbon Nanotube ◽  
Band Structure ◽  
Boron Atom ◽  
Density Of States ◽  
Nearest Neighbor ◽  
Electronic Band Structure ◽  
Tight Binding ◽  
Topological Defects ◽  
Electronic Band ◽  
Neighbor Approximation

In this work, the influence of boron atom impurity is investigated on the electronic properties of a single-wall carbon nanotube superlattice which is connected by pentagon–heptagon topological defects along the circumference of the heterojunction of these superlattices. Our calculation is based on tight-binding [Formula: see text]-electron method in nearest-neighbor approximation. The density of states (DOS) and electronic band structure in presence of boron impurity has been calculated. Results show that when boron atom impurity and nanotube atomic layers have increased, electronic band structure and the DOS have significant changes around the Fermi level.

Photon assisted transport in superlattices beyond the nearest-neighbor approximation

1997 ◽  
Vol 56 (7) ◽  
pp. 3976-3981 ◽  
Author(s):  
Xian-Geng Zhao ◽  
G. A. Georgakis ◽  
Qian Niu
Keyword(s):  
Nearest Neighbor ◽  
Neighbor Approximation
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