Numerical studies of the one-dimensional random Anderson model

1973 ◽  
Vol 6 (9) ◽  
pp. 1551-1558 ◽  
Author(s):  
E J Moore
Keyword(s):  
Anderson Model ◽  
One Dimensional ◽  
Numerical Studies ◽  
The One

Localization behavior induced by asymmetric disorder for the one-dimensional Anderson model

2019 ◽  
Vol 100 (4) ◽  
Author(s):  
Delong Feng ◽  
Yang Cui ◽  
Kai Kang ◽  
Shaojing Qin ◽  
Chuilin Wang
Keyword(s):  
Anderson Model ◽  
One Dimensional ◽  
The One ◽  
Localization Behavior

scholarly journals Localization for the one-dimensional Anderson model via positivity and large deviations for the Lyapunov exponent

2019 ◽  
Vol 372 (5) ◽  
pp. 3619-3667 ◽  
Author(s):  
Valmir Bucaj ◽  
David Damanik ◽  
Jake Fillman ◽  
Vitaly Gerbuz ◽  
Tom VandenBoom ◽  
...  
Keyword(s):  
Lyapunov Exponent ◽  
Large Deviations ◽  
Anderson Model ◽  
One Dimensional ◽  
The One

Experimental investigation on the secondary instability of liquid-fluidized beds and the formation of bubbles

2002 ◽  
Vol 470 ◽  
pp. 359-382 ◽  
Author(s):  
PAUL DURU ◽  
ÉLISABETH GUAZZELLI
Keyword(s):  
Fluidized Beds ◽  
Secondary Instability ◽  
Analytical Models ◽  
Physical Origin ◽  
Weakly Nonlinear ◽  
One Dimensional ◽  
Numerical Studies ◽  
Wavy Structure ◽  
Nonlinear Simulations ◽  
The One

The objective of the present work is to investigate experimentally the secondary instability of the one-dimensional voidage waves occurring in two-dimensional liquid- fluidized beds and to examine the physical origin of bubbles, i.e. regions devoid of particles, which arise in fluidization. In the case of moderate-density glass particles, we observe the formation of transient buoyant blobs clearly resulting from the destabilization of the one-dimensional wavy structure. With metallic beads of the same size but larger density, the same destabilization occurs but it leads to the formation of real bubbles. Comparison with previous analytical and numerical studies is attempted. Whereas the linear and weakly nonlinear analytical models are not appropriate, the direct nonlinear simulations provide a qualitative agreement with the observed destabilization mechanism.

NUMERICAL STUDIES ON THE VIBRATIONAL SPECTRUM OF FIBONACCI CHAIN: A MULTIFRACTAL ANALYSIS

1991 ◽  
Vol 05 (05) ◽  
pp. 825-841 ◽  
Author(s):  
WLODZIMIERZ SALEJDA
Keyword(s):  
Vibrational Spectrum ◽  
Multifractal Analysis ◽  
Scaling Laws ◽  
Model Parameters ◽  
Local Scaling ◽  
One Dimensional ◽  
Dynamic Matrix ◽  
Numerical Studies ◽  
Wide Range ◽  
The One

A harmonic Hamiltonian modelling the lattice dynamics of the one-dimensional Fibonacci-type quasicrystal is studied numerically. The multifractal analysis of vibrational spectrum is performed. It is found that the integrated normalized density of states [Formula: see text], where x denotes the square of the eigenenergy of the dynamic matrix, exhibits a finite range of scaling indices α (i.e. α min ≤α≤ α max ) describing the local scaling laws of [Formula: see text]. The α-f spectra and the Renyi dimensions [Formula: see text] are calculated in a wide range of model parameters taking into account the next-nearest-neighbour (NNN) interactions of atoms. In particular, we have observed that: (1) The α-f spectra are smooth in the interval [Formula: see text]; (2) If the so-called parameter of quasi-periodicity Q increases, then αmin and the fractal dimension of vibrational spectra [Formula: see text] decrease; (3) If the strength of NNN interactions h grows then α min decreases but D increases.

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