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Predicting the statistics of wave transport through chaotic cavities by the random coupling model: A review and recent progress
In this review, a model (the random coupling model) that gives a statistical description of the
coupling of radiation into and out of large enclosures through localized and/or distributed …
coupling of radiation into and out of large enclosures through localized and/or distributed …
Scattering, reflection and impedance of waves in chaotic and disordered systems with absorption
YV Fyodorov, DV Savin… - Journal of Physics A …, 2005 - iopscience.iop.org
We review recent progress in analysing wave scattering in systems with both intrinsic chaos
and/or disorder and internal losses, when the scattering matrix is no longer unitary. By …
and/or disorder and internal losses, when the scattering matrix is no longer unitary. By …
Exact relations between multifractal exponents at the Anderson transition
Two exact relations between mutlifractal exponents are shown to hold at the critical point of
the Anderson localization transition. The first relation implies a symmetry of the multifractal …
the Anderson localization transition. The first relation implies a symmetry of the multifractal …
Experimental investigation of the enhancement factor for microwave irregular networks with preserved and broken time reversal symmetry in the presence of …
M Ławniczak, S Bauch, O Hul, L Sirko - Physical Review E—Statistical …, 2010 - APS
We present the results of the experimental study of the two-port scattering matrix S ̂ elastic
enhancement factor WS, β for microwave irregular networks simulating quantum graphs with …
enhancement factor WS, β for microwave irregular networks simulating quantum graphs with …
Investigation of the diagonal elements of the Wigner's reaction matrix for networks with violated time reversal invariance
M Ławniczak, L Sirko - Scientific Reports, 2019 - nature.com
The distributions of the diagonal elements of the Wigner's reaction K ˆ matrix for open
systems with violated time reversal T invariance in the case of large absorption are for the …
systems with violated time reversal T invariance in the case of large absorption are for the …
Distribution of the local density of states as a criterion for Anderson localization: Numerically exact results for various lattices in two and three dimensions
G Schubert, J Schleede, K Byczuk, H Fehske… - Physical Review B …, 2010 - APS
Numerical approaches to Anderson localization face the problem of having to treat large
localization lengths while being restricted to finite system sizes. We show that by finite-size …
localization lengths while being restricted to finite system sizes. We show that by finite-size …
Experimental and numerical investigation of the reflection coefficient and the distributions of Wigner's reaction matrix for irregular graphs with absorption
We present the results of an experimental and numerical study of the distribution of the
reflection coefficient P (R) and the distributions of the imaginary P (v) and the real P (u) parts …
reflection coefficient P (R) and the distributions of the imaginary P (v) and the real P (u) parts …
Classical wave experiments on chaotic scattering
U Kuhl, HJ Stöckmann, R Weaver - Journal of Physics A …, 2005 - iopscience.iop.org
We review recent research on the transport properties of classical waves through chaotic
systems with special emphasis on microwaves and sound waves. Inasmuch as these …
systems with special emphasis on microwaves and sound waves. Inasmuch as these …
Large deviations of the Lyapunov exponent in 2D matrix Langevin dynamics with applications to one-dimensional Anderson localization models
C Monthus - Journal of Statistical Mechanics: Theory and …, 2021 - iopscience.iop.org
For the 2D matrix Langevin dynamics that correspond to the continuous-time limit of the
products of some 2× 2 random matrices, the finite-time Lyapunov exponent can be written as …
products of some 2× 2 random matrices, the finite-time Lyapunov exponent can be written as …
Generalized multifractality at spin quantum Hall transition
JF Karcher, N Charles, IA Gruzberg, AD Mirlin - Annals of Physics, 2021 - Elsevier
Generalized multifractality characterizes scaling of eigenstate observables at Anderson-
localization critical points. We explore generalized multifractality in 2D systems, with the …
localization critical points. We explore generalized multifractality in 2D systems, with the …