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We examine the applicability of the weak wave turbulence theory in explaining experimental scaling results obtained for the diffusion and relative diffusion of particles moving on turbulent surface waves. For capillary waves our theoretical…

混沌动力学 · 物理学 2007-09-23 Victor M. Eguiluz , Mogens T. Levinsen , Preben Alstrom

Localization and delocalization of quantum diffusion in time-continuous one-dimensional Anderson model perturbed by the quasi-periodic harmonic oscillations of $M$ colors is investigated systematically, which has been partly reported by the…

无序系统与神经网络 · 物理学 2022-05-11 Hiroaki S. Yamada , Kensuke S. Ikeda

This work presents a detailed study of the dispersion of capillary waves with small amplitude in viscous fluids using an analytically derived solution to the initial value problem of a small-amplitude capillary wave as well as direct…

流体动力学 · 物理学 2016-09-01 Fabian Denner

We present an exact treatment of wave propagation in some inhomogeneous thin films with highly space-dependent dielectric constant. It is based on a space transformation which replaces the physical space by the optical path. In the new…

光学 · 物理学 2009-11-11 Guillaume Petite , Alexander Shvartsburg

The diffraction of ultrashort pulse changes its spatial and temporal structure that is crucial for multi-channel communication and location via such pulses. The features of the evolution of broadband pulses discussed for two general…

光学 · 物理学 2015-10-23 P. A. Golovinski , V. A. Astapenko

We study the wave transport through a disordered system inside a waveguide. The expectation value of the complex reflection and transmission coefficients (the coherent fields) as well as the transmittance and reflectance are obtained…

无序系统与神经网络 · 物理学 2014-10-24 M. Yepez

An analytical and numerical study is presented of transmission of radiation through a multi-mode waveguide containing a random medium with a complex dielectric constant $\epsilon= \epsilon'+i\epsilon''$. Depending on the sign of…

凝聚态物理 · 物理学 2007-05-23 T. Sh. Misirpashaev , J. C. J. Paasschens , C. W. J. Beenakker

We develop a diagrammatic theory for transport of waves in disordered media with weak nonlinearity. We first represent the solution of the nonlinear wave equation as a nonlinear Born series. From this, we construct nonlinear ladder and…

介观与纳米尺度物理 · 物理学 2015-05-13 Thomas Wellens , Benoit Gremaud

We study inelastic resonant scattering of a Gaussian wave packet with the parameters close to a zero of the complex scattering coefficient. We demonstrate, both theoretically and experimentally, that such near-zero scattering can result in…

We study light propagation in an array of periodically curved waveguides consisting of pairs of waveguides with out-of-phase oscillations of waveguide centers. We compute the corresponding Floquet propagation constants and find…

光学 · 物理学 2025-10-01 Yaroslav V. Kartashov , Dmitry A. Zezyulin

Previous work has established that the localized regime of wave transport in open media is characterized by a position-dependent diffusion coefficient. In this work we study how the concept of position-dependent diffusion affects the delay…

无序系统与神经网络 · 物理学 2017-05-24 B. A. van Tiggelen , S. E. Skipetrov , J. H. Page

Using a 3D Finite-Difference Time-Domain parallel code, we report on the linear and nonlinear propagation of light pulses in a disordered assembly of scatterers, whose spatial distribution is generated by a Molecular Dynamics code;…

无序系统与神经网络 · 物理学 2007-05-23 Claudio Conti , Luca Angelani , Giancarlo Ruocco

We investigate the dynamics of a quantum particle in disordered tight-binding models in one and two dimensions which are exceptions to the common wisdom on Anderson localization, in the sense that the localization length diverges at some…

无序系统与神经网络 · 物理学 2015-03-17 P. L. Krapivsky , J. M. Luck

We attempt to analyze a one-dimensional space-inhomogeneous quantum walk (QW) with one defect at the origin, which has two different quantum coins in positive and negative parts. We call the QW "the two-phase QW", which we treated…

数学物理 · 物理学 2017-05-02 Shimpei Endo , Takako Endo , Norio Konno , Etsuo Segawa , Masato Takei

Using the transfer matrix technique, we investigate the propagation of electron through a two dimensional disordered sample. We find that the spatial distribution of electrons is homogeneous only in the limit of weak disorder (diffusive…

无序系统与神经网络 · 物理学 2010-09-28 P. Markos

We study quantum transport properties of finite periodic quasi-one-dimensional waveguides whose classical dynamics is diffusive. The system we consider is a scattering configuration, composed of a finite periodic chain of $L$ identical…

统计力学 · 物理学 2012-01-18 Jaime Zuñiga Vukusich

We study the spatio-temporal evolution of wave packets in one-dimensional quasiperiodic lattices which localize linear waves. Nonlinearity (related to two-body interactions) has destructive effect on localization, as recently observed for…

无序系统与神经网络 · 物理学 2015-02-26 Marco Larcher , Tetyana V. Laptyeva , Joshua D. Bodyfelt , Franco Dalfovo , Michele Modugno , Sergej Flach

We report a first-principles study of static transport of localized waves in quasi-one-dimensional open media. We found that such transport, dominated by disorder-induced resonant transmissions, displays novel diffusive behavior. Our…

无序系统与神经网络 · 物理学 2015-05-18 Chu-Shun Tian , Sai-Kit Cheung , Zhao-Qing Zhang

Disorder can fundamentally modify the transport properties of a system. A striking example is Anderson localization, suppressing transport due to destructive interference of propagation paths. In inhomogeneous many-body systems, not all…

In this paper, we discuss the transport phenomena of electromagnetic waves in a two-dimensional random system which is composed of arrays of electrical dipoles, following the model presented earlier by Erdogan, et al. (J. Opt. Soc. Am. B…

软凝聚态物质 · 物理学 2009-11-10 Ken Wang , Zhen Ye