Propagation of mechanical waves in a one-dimensional nonlinear disordered lattice

2006 ◽  
Vol 73 (2) ◽  
Author(s):  
O. Richoux ◽  
C. Depollier ◽  
J. Hardy
Keyword(s):  
One Dimensional ◽  
Disordered Lattice ◽  
Mechanical Waves

Ground state of one-dimension repulsing particles on disordered lattice

2014 ◽  
Vol 25 (08) ◽  
pp. 1450028 ◽  
Author(s):  
L. A. Pastur ◽  
V. V. Slavin ◽  
A. A. Krivchikov
Keyword(s):  
Ground State ◽  
Domain Walls ◽  
Host Lattice ◽  
One Dimension ◽  
Weak Disorder ◽  
Interacting Particles ◽  
One Dimensional ◽  
Lattice Disorder ◽  
Disordered Lattice ◽  
The Mean

The ground state (GS) of interacting particles on a disordered one-dimensional (1D) host-lattice is studied by a new numerical method. It is shown that if the concentration of particles is small, then even a weak disorder of the host-lattice breaks the long-range order of Generalized Wigner Crystal (GWC), replacing it by the sequence of blocks (domains) of particles with random lengths. The mean domains length as a function of the host-lattice disorder parameter is also found. It is shown that the domain structure can be detected by a weak random field, whose form is similar to that of the ground state but has fluctuating domain walls positions. This is because the generalized magnetization corresponding to the field has a sufficiently sharp peak as a function of the amplitude of fluctuations for small amplitudes.

ac conductivity of a one-dimensional site-disordered lattice

1978 ◽  
Vol 17 (12) ◽  
pp. 4487-4494 ◽  
Author(s):  
R. C. Albers ◽  
J. E. Gubernatis
Keyword(s):  
Ac Conductivity ◽  
One Dimensional ◽  
Disordered Lattice

Localization theory in a one-dimensional disordered lattice

1975 ◽  
Vol 25 (1) ◽  
pp. 1-12 ◽  
Author(s):  
J. Chahoud ◽  
L. Ferrari ◽  
G. Russo
Keyword(s):  
One Dimensional ◽  
Disordered Lattice ◽  
Localization Theory

On Mechanical Waves Along Aluminum Conductor Steel Reinforced (ACSR) Power Lines

2002 ◽  
Vol 69 (6) ◽  
pp. 740-748 ◽  
Author(s):  
P. A. Martin ◽  
J. R. Berger
Keyword(s):  
Elastic Waves ◽  
Wave Equations ◽  
Wire Rope ◽  
Power Lines ◽  
Composite Wire ◽  
One Dimensional ◽  
Rod Theory ◽  
Mechanical Waves ◽  
Cylindrically Anisotropic ◽  
Propagation Of Elastic Waves

The propagation of elastic waves along composite wire rope is considered. The rope is modeled as co-axial layers of cylindrically anisotropic material. Simple kinematical assumptions lead to a “rod theory” for the wire rope, consisting of three coupled one-dimensional wave equations. Solutions of these equations are found. Results for a particular aluminum conductor steel reinforced (ACSR) conductor are described in detail. The slowest mode is found to be mainly torsional and mainly nondispersive in character. The other two modes are dispersive and have small torsional components.

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