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Spatial intensity correlations between waves transmitted through random media are analyzed within the framework of the random matrix theory of transport. Assuming that the statistical distribution of transfer matrices is isotropic, we found…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Gabriel Cwilich , Luis S. Froufe-Perez , Juan Jose Saenz

We have analyzed spectra of localized microwave transmitted through quasi-1D random samples to obtain the central frequency, linewidth and field speckle pattern of the modes for an ensemble of samples at three lengths. We find strong…

Disordered Systems and Neural Networks · Physics 2012-10-02 Jing Wang

We study the asymptotic behavior of the wave function in a simple one dimensional model of ionization by pulses, in which the time-dependent potential is of the form $V(x,t)=-2\delta(x)(1-e^{-\lambda t} \cos\omega t)$, where $\delta$ is the…

Mathematical Physics · Physics 2015-05-13 O. Costin , M. Huang , Z. Qiu

We study local and nonlocal correlations of light transmitted through active random media. The conventional approach results in divergence of ensemble averaged correlation functions due to existence of lasing realizations. We introduce…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexey Yamilov , Shih-Hui Chang , Aleksander Burin , Allen Taflove , Hui Cao

The propagation of a narrow-band signal radiated by a point source in a randomly layered absorbing medium is studied asymptotically in the weak-scattering limit. It is shown that in a disordered stratified medium that is homogeneous on…

Disordered Systems and Neural Networks · Physics 2009-11-07 V. D. Freilikher , Yu. V. Tarasov

We have measured pulsed microwave transmission through quasi-1D samples with lengths up to three localization lengths. For times approaching four times the diffusion time \tau_D, transmission is diffusive in accord with the self-consistent…

Disordered Systems and Neural Networks · Physics 2008-03-15 Z. Q. Zhang , A. A. Chabanov , S. K. Cheung , C. H. Wong , A. Z. Genack

We obtain the statistics of the intensity, transmission and conductance for scalar electromagnetic waves propagating through a disordered collection of scatterers. Our results show that the probability distribution for these quantities, x,…

Disordered Systems and Neural Networks · Physics 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

A statistical mechanical study of fluidized granular media is presented. Using a special energy injection mechanism, homogeneous fluidized stationary states are obtained. Molecular dynamics simulations and theoretical analysis of the…

Statistical Mechanics · Physics 2009-10-31 R. Soto , M. Mareschal

This study establishes a fundamental connection between the dissipation and polarization of spin waves, which are often treated as independent phenomena. Through theoretical analysis and numerical validation, we demonstrate that within the…

Mesoscale and Nanoscale Physics · Physics 2025-01-28 Yutian Wang , Jiongjie Wang , Ruoban Ma , Jiang Xiao

We study the charge-density dynamics within the two-dimensional extended Hubbard model in the presence of long-range Coulomb interaction across the metal-insulator transition point. To take into account strong correlations we start from…

Strongly Correlated Electrons · Physics 2014-12-24 E. G. C. P. van Loon , H. Hafermann , A. I. Lichtenstein , A. N. Rubtsov , M. I. Katsnelson

Sample-to-sample fluctuations of the time-dependent conductance of a system with static disorder have been studied by means of diagrammatic theory and microwave pulsed transmission measurements. The fluctuations of time-dependent…

Mesoscale and Nanoscale Physics · Physics 2009-07-23 N. Cherroret , A. Pena , A. A. Chabanov , S. E. Skipetrov

A theoretical analysis of the statistical distributions of the reflected intensities from random media is presented. We use random matrix theory to analytically deduce the probability densities in the localization regime. Numerical…

Disordered Systems and Neural Networks · Physics 2009-10-31 A. Garcia-Martin , T. Lopez-Ciudad , J. J. Saenz , M. Nieto-Vesperinas

We apply the methods of Field Theory to study the turbulent regimes of statistical systems. First we show how one can find their probability densities. For the case of the theory of wave turbulence with four-wave interaction we calculate…

High Energy Physics - Theory · Physics 2009-10-28 V. Gurarie

We study the intensity distribution function, P(I), for monochromatic waves propagating in quasi one-dimensional disordered medium, assuming that a point source and a point detector are embedded in the bulk of the medium. We find deviations…

Condensed Matter · Physics 2009-10-31 A. D. Mirlin , R. Pnini , B. Shapiro

We develop the exact renormalization group approach as a way to evaluate the effective speed of propagation of a scalar wave in a medium with random inhomogeneities. We use the Martin-Siggia-Rose formalism to translate the problem into a…

Disordered Systems and Neural Networks · Physics 2017-08-02 Federico Lamagna , Esteban Calzetta

We study the effect of quenched disorder on nonequilibrium systems of interacting particles, specifically, driven diffusive lattice gases with spatially disordered jump rates. The exact steady-state measure is found for a class of models…

Disordered Systems and Neural Networks · Physics 2009-10-30 Goutam Tripathy , Mustansir Barma

A recently proposed technique correlating electric fields and particle velocity distributions is applied to single-point time series extracted from linearly unstable, electrostatic numerical simulations. The form of the correlation, which…

Plasma Physics · Physics 2017-04-05 Kristopher G Klein

We study cumulative scattering effects on wave front propagation in time dependent randomly layered media. It is well known that the wave front has a deterministic characterization in time independent media, aside from a small random shift…

Analysis of PDEs · Mathematics 2016-01-20 Liliana Borcea , Knut Solna

Dynamics is studied of an electron in a quasi-one-dimensional ballistic ring under circularly polarized electromagnetic field propagating along the normal to the ring plane. The average emission intensity from the ring is calculated. The…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 E. M. Epshtein , E. G. Fedorov , G. M. Shmelev

Dynamic and steady state aspects of wave propagation are deeply connected in lossless open systems in which the scattering matrix is unitary. There is then an equivalence among the energy excited within the medium, the Wigner time delay,…

Disordered Systems and Neural Networks · Physics 2021-06-25 Yiming Huang , Yuhao Kang , Azriel Z. Genack
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