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We find a renormalized "time-dependent diffusion coefficient", D(t), for pulsed excitation of a nominally diffusive sample by solving the Bethe-Salpeter equation with recurrent scattering. We observe a crossover in dynamics in the…

无序系统与神经网络 · 物理学 2009-11-10 S. K. Cheung , X. Zhang , Z. Q. Zhang , A. A. Chabanov , A. Z. Genack

This paper concerns the derivation of radiative transfer equations for acoustic waves propagating in a randomly fluctuating slab (between two parallel planes) in the weak-scattering regime, and the study of boundary effects through an…

偏微分方程分析 · 数学 2023-08-03 Adel Messaoudi , Régis Cottereau , Christophe Gomez

The propagation of classical wave in disordered media at the Anderson localization transition is studied. Our results show that the classical waves may follow a different scaling behavior from that for electrons. For electrons, the effect…

无序系统与神经网络 · 物理学 2009-11-11 S. K. Cheung , Z. Q. Zhang

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…

无序系统与神经网络 · 物理学 2008-03-15 Z. Q. Zhang , A. A. Chabanov , S. K. Cheung , C. H. Wong , A. Z. Genack

We report the observation of nonexponential decay of pulsed microwave transmission through quasi-one-dimensional random dielectric media that signals the breakdown of the diffusion model of transport for temporally coherent extended waves.…

无序系统与神经网络 · 物理学 2009-11-07 A. A. Chabanov , Z. Q. Zhang , A. Z. Genack

We study the diffusion of monochromatic classical waves in a disordered acoustic medium by scattering theory. In order to avoid artifacts associated with mathematical point scatterers, we model the randomness by small but finite insertions.…

无序系统与神经网络 · 物理学 2009-11-11 Sijmen Gerritsen , Gerrit E. W. Bauer

We consider the phenomenon of weak localization of a short wave pulse in a quasi-1D disordered waveguide. We show that the long-time decay of the average transmission coefficient is not purely exponential, in contradiction with predictions…

无序系统与神经网络 · 物理学 2007-05-23 S. E. Skipetrov , B. A. van Tiggelen

We consider the propagation of flexural waves across a nearly flat, thin membrane, whose stress-free state is curved. The stress-free configuration is specified by a quenched height field, whose Fourier components are drawn from a Gaussian…

软凝聚态物质 · 物理学 2021-05-19 Jonathan Kernes , Alex J. Levine

We consider random networks whose dynamics is described by a rate equation, with transition rates $w_{nm}$ that form a symmetric matrix. The long time evolution of the system is characterized by a diffusion coefficient $D$. In one dimension…

统计力学 · 物理学 2012-12-04 Yaron de Leeuw , Doron Cohen

The impact of surface reflection upon transmission through and energy distributions within random media has generally been described in terms of the boundary extrapolation lengths $z_b, z_b'$ at the input and output end of an open sample,…

无序系统与神经网络 · 物理学 2017-08-02 Xiaojun Cheng , Chushun Tian , Zachary Lowell , Liyi Zhao , Azriel Z. Genack

We investigate coherent matter wave transport in isotropic 3D speckle potentials by using the Bethe-Salper equation and the self-consistent theory of localization. This model constitutes an efficient tool to properly evaluate corrections to…

无序系统与神经网络 · 物理学 2023-02-07 Afifa Yedjour , Abdelaali Boudjemaa

Wavefunction collapse models modify Schrodinger's equation so that it describes the rapid evolution of a superposition of macroscopically distinguishable states to one of them. This provides a phenomenological basis for a physical…

量子物理 · 物理学 2022-10-12 Brian Collett , Philip Pearle

A method is proposed for the analysis of the propagation of electromagnetic waves through a homogeneous slab of a medium with Drude-Lorentz dispersion behavior, and excited by a causal sinusoidal source. An expression of the time dependent…

光学 · 物理学 2016-10-13 Mohamed Ismail , Boris Gralak

We study the diffusion of anti-plane elastic waves in a two dimensional continuum by many, randomly placed, screw dislocations. Building on a previously developed theory for coherent propagation of such waves, the incoherent behavior is…

材料科学 · 物理学 2016-08-30 Dmitry Churochkin , Fernando Lund

In this article, we investigate the wave equation in spiral geometry and study the modes of vibrations of a one-dimensional (1-D) string in spiral shape. Here we show that the problem of wave propagation along a spiral can be reduced to…

经典物理 · 物理学 2014-10-21 Deep Chatterjee , Rajesh K. Nayak

This is a review of the dynamics of wave propagation through a disordered N-mode waveguide in the localized regime. The basic quantities considered are the Wigner-Smith and single-mode delay times, plus the time-dependent power spectrum of…

无序系统与神经网络 · 物理学 2013-04-08 C. W. J. Beenakker

A theory for multiple scattering of elastic waves is presented in a random medium bounded by two ideal free surfaces, whose horizontal size is infinite and whose transverse size is smaller than the mean free path of the waves. This geometry…

介观与纳米尺度物理 · 物理学 2009-11-07 Nicolas P. Tregoures , Bart A. van Tiggelen

We study the time evolution of wave packets at the mobility edge of disordered non-interacting electrons in two and three spatial dimensions. The results of numerical calculations are found to agree with the predictions of scaling theory.…

介观与纳米尺度物理 · 物理学 2009-10-31 Bodo Huckestein , Rochus Klesse

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…

无序系统与神经网络 · 物理学 2012-10-02 Jing Wang

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…

无序系统与神经网络 · 物理学 2009-11-07 V. D. Freilikher , Yu. V. Tarasov
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