Quasi-Fractals: New Possibilities in Description of Disordered Media

2007 ◽  
pp. 377-388
Author(s):  
R. R. Nigmatullin ◽  
A. P. Alekhin
Keyword(s):  
Disordered Media

LBE Flows in Disordered Media

2018 ◽  
Author(s):  
Sauro Succi
Keyword(s):  
Porous Media ◽  
Fluid Mechanics ◽  
Condensed Matter ◽  
Disordered Media ◽  
Environmental Sciences ◽  
Science And Engineering ◽  
Particle Trajectories ◽  
Irregular Geometries ◽  
Numerical Tool ◽  
Bounce Back

The study of transport phenomena in disordered media is a subject of wide interdisciplinary concern, with many applications in fluid mechanics, condensed matter, life and environmental sciences as well. Flows through grossly irregular (porous) media is a specific fluid mechanical application of great practical value in applied science and engineering. It is arguably also one of the applications of choice of the LBE methods. The dual field–particle character of LBE shines brightly here: the particle-like nature of LBE (populations move along straight particle trajectories) permits a transparent treatment of grossly irregular geometries in terms of elementary mechanical events, such as mirror and bounce-back reflections. These assets were quickly recognized by researchers in the field, and still make of LBE (and eventually LGCA) an excellent numerical tool for flows in porous media, as it shall be discussed in this Chapter.

scholarly journals Anomalous Anderson localization behavior in gain-loss balanced non-Hermitian systems

Nanophotonics ◽  
2020 ◽  
Vol 10 (1) ◽  
pp. 443-452
Author(s):  
Tianshu Jiang ◽  
Anan Fang ◽  
Zhao-Qing Zhang ◽  
Che Ting Chan
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Waves ◽  
Anderson Localization ◽  
Random Media ◽  
Normal Incidence ◽  
Disordered Media ◽  
One Dimensional ◽  
Gain Loss ◽  
The Waves ◽  
Localization Behavior

AbstractIt has been shown recently that the backscattering of wave propagation in one-dimensional disordered media can be entirely suppressed for normal incidence by adding sample-specific gain and loss components to the medium. Here, we study the Anderson localization behaviors of electromagnetic waves in such gain-loss balanced random non-Hermitian systems when the waves are obliquely incident on the random media. We also study the case of normal incidence when the sample-specific gain-loss profile is slightly altered so that the Anderson localization occurs. Our results show that the Anderson localization in the non-Hermitian system behaves differently from random Hermitian systems in which the backscattering is suppressed.

scholarly journals Topological Metric Detects Hidden Order in Disordered Media

2021 ◽  
Vol 126 (4) ◽  
Author(s):  
Dominic J. Skinner ◽  
Boya Song ◽  
Hannah Jeckel ◽  
Eric Jelli ◽  
Knut Drescher ◽  
...  
Keyword(s):  
Disordered Media ◽  
Hidden Order

Elastic-Plastic-Brittle Transitions and Avalanches in Disordered Media

2014 ◽  
Vol 112 (4) ◽  
Author(s):  
Sohan Kale ◽  
Martin Ostoja-Starzewski
Keyword(s):  
Disordered Media ◽  
Elastic Plastic

Numerical study of random lasing in three dimensional amplifying disordered media

2012 ◽  
Vol 285 (6) ◽  
pp. 1314-1322 ◽  
Author(s):  
Abbas Ghasempour Ardakani ◽  
Ali Reza Bahrampour ◽  
Seyed Mohammad Mahdavi ◽  
Mojtaba Golshani Gharyeh Ali
Keyword(s):  
Numerical Study ◽  
Three Dimensional ◽  
Disordered Media ◽  
Random Lasing

scholarly journals Constant-pressure sound waves in non-Hermitian disordered media

2018 ◽  
Vol 14 (9) ◽  
pp. 942-947 ◽  
Author(s):  
Etienne Rivet ◽  
Andre Brandstötter ◽  
Konstantinos G. Makris ◽  
Hervé Lissek ◽  
Stefan Rotter ◽  
...  
Keyword(s):  
Constant Pressure ◽  
Disordered Media ◽  
Sound Waves

Trapping patterns during capillary displacements in disordered media

2022 ◽  
Vol 933 ◽  
Author(s):  
Fanli Liu ◽  
Moran Wang
Keyword(s):  
Numerical Simulations ◽  
Pore Size Distribution ◽  
Pore Size ◽  
Size Distribution ◽  
Disordered Media ◽  
Pore Geometry ◽  
Control Parameters ◽  
Pore Throat ◽  
The Impact ◽  
Theoretical Analyses

We investigate the impact of wettability distribution, pore size distribution and pore geometry on the statistical behaviour of trapping in pore-throat networks during capillary displacement. Through theoretical analyses and numerical simulations, we propose and prove that the trapping patterns, defined as the percentage and distribution of trapped elements, are determined by four dimensionless control parameters. The range of all possible trapping patterns and how the patterns are dependent on the four parameters are obtained. The results help us to understand the impact of wettability and structure on trapping behaviour in disordered media.

Preliminary Experiments on the Transmission of Light Through Non-Linear Disordered Media

1993 ◽  
pp. 165-169
Author(s):  
Johannes F. de Boer ◽  
Rudolf Sprik ◽  
Ad Lagendijk ◽  
Shechao Feng
Keyword(s):  
Disordered Media ◽  
Non Linear
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