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The mean free path is an essential characteristic length in disordered systems. In microscopic calculations, it is usually approximated by the classical value of the elastic mean free path. It corresponds to the Boltzmann mean free path…

无序系统与神经网络 · 物理学 2009-11-07 S. Correia

This article studies multiple scattering of matter waves by a disordered optical potential in two and in three dimensions. We calculate fundamental transport quantities such as the scattering mean free path $\ell_s$, the Boltzmann transport…

其他凝聚态物理 · 物理学 2011-11-09 R. C. Kuhn , O. Sigwarth , C. Miniatura , D. Delande , C. A. Mueller

We study the statistical properties of wave scattering in a disordered waveguide. The statistical properties of a "building block" of length (delta)L are derived from a potential model and used to find the evolution with length of the…

材料科学 · 物理学 2014-10-13 L. S. Froufe-Perez , M. Yepez , P. A. Mello , J. J. Saenz

Collective transport through a multichannel disordered conductor in contact with charge-density-wave electrodes is theoretically investigated. The statistical distribution function of the threshold potential for charge-density wave sliding…

介观与纳米尺度物理 · 物理学 2009-10-31 Mark I. Visscher , Behzad Rejaei , Gerrit E. W. Bauer

We present a numerical study on the light transport properties which are modulated by the disorder strength in quasi-one-dimensional disordered waveguide which consists of periodically arranged scatterers with random dielectric constant.…

光学 · 物理学 2017-03-22 Yuchen Xu , Hao Zhang , Yujun Lin , Heyuan Zhu

We present an analysis of wave propagation in a two step-index, parallel waveguide system. The goal is to quantify the effect of scattering at randomly perturbed interfaces between the guiding layers of high index of refraction and the host…

偏微分方程分析 · 数学 2018-12-05 Liliana Borcea , Josselin Garnier

We present a mathematical theory of time-harmonic wave propagation and reflection in a two-dimensional random acoustic waveguide with sound soft boundary and turning points. The boundary has small fluctuations on the scale of the…

偏微分方程分析 · 数学 2017-02-14 Liliana Borcea , Josselin Garnier , Derek Wood

A fundamental insight in the theory of diffusive random walks is that the mean length of trajectories traversing a finite open system is independent of the details of the diffusion process. Instead, the mean trajectory length depends only…

We present a perturbative approach to disordered systems in one spatial dimension that accesses the full range of phase disorder and clarifies the connection between localization and phase information. We consider a long chain of…

无序系统与神经网络 · 物理学 2024-03-04 Adrian B. Culver , Pratik Sathe , Rahul Roy

The statistical scattering properties of wave transport in disordered waveguides are derived perturbatively within the transition matrix formalism. The limiting macroscopic statistic of the wave transport, emerges as a consequence of a…

无序系统与神经网络 · 物理学 2015-11-26 M. Yépez , J. J. Sáenz

The theory of weak localization is generalized for multilevel 2D systems taking into account intersubband scattering. It is shown that weak intersubband scattering which is negligible in a classical transport, affects strongly the…

介观与纳米尺度物理 · 物理学 2009-11-07 N. S. Averkiev , L. E. Golub , S. A. Tarasenko , M. Willander

Graphene has opened new avenues of research in quantum transport, with potential applications for coherent electronics. Coherent transport depends sensitively on scattering from microscopic disorder present in graphene samples: electron…

介观与纳米尺度物理 · 物理学 2015-05-18 Jesse Berezovsky , Robert M Westervelt

We show that the enhancement of backscattering responsible for the weak localization is accompanied by reduction of the scattering in other directions. A simple quasiclassical interpretation of this phenomenon is presented in terms of a…

介观与纳米尺度物理 · 物理学 2009-09-25 A. P. Dmitriev , I. V. Gornyi , V. Yu. Kachorovskii

We compute the quantum correction due to weak localization for transport properties of disordered quasi-one-dimensional conductors, by integrating the Dorokhov-Mello-Pereyra-Kumar equation for the distribution of the transmission…

凝聚态物理 · 物理学 2007-05-23 C. W. J. Beenakker

We discuss effects of anisotropic scattering in transport properties of ultracold atoms in three-dimensional optical potentials. Within the realm of the first Born approximation, we calculate the self energy, the scattering mean free time,…

无序系统与神经网络 · 物理学 2023-02-16 Afifa Yedjour , Abdelaali Boudjemaa

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 establish a relationship between the electric magnetic dipole interaction force from a plane wave on a small magnetodielectric particle, the transport cross-section and the scattering asymmetry parameter, g. In this way, we predict…

材料科学 · 物理学 2015-06-04 R. Gomez-Medina , L. Froufe-Perez , M. Yepez , F. Scheffold , M. Nieto-Vesperinas , J. J. Saenz

We study reflection and transmission of waves in a random tight-binding system with absorption or gain for weak disorder, using a scattering matrix formalism. Our aim is to discuss analytically the effects of absorption or gain on the…

介观与纳米尺度物理 · 物理学 2009-11-11 J. Heinrichs

Diffusive random walks feature the surprising property that the average length of all possible random trajectories that enter and exit a finite domain is determined solely by the domain boundary. Changes in the diffusion constant or the…

软凝聚态物质 · 物理学 2021-04-30 Matthieu Davy , Matthias Kühmayer , Sylvain Gigan , Stefan Rotter

We define a current-conserving approximation for the local conductivity tensor of a disordered system which includes the effects of weak localization. Using this approximation we show that the weak localization effect in conductance is not…

凝聚态物理 · 物理学 2009-10-22 Matthew B. Hastings , A. Douglas Stone , Harold U. Baranger
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