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The motion of overdamped particles in a one-dimensional spatially-periodic potential is considered. The potential is also randomly-fluctuating in time, due to multiplicative colored noise terms, and has a deterministic tilt. Numerical…

统计力学 · 物理学 2013-06-06 James P. Gleeson

Transport processes underpin a multitude of phenomena, ranging from the propagation of atoms on lattices, to the mobility patterns of microorganisms and earthquakes, to name a few. The dynamics of these processes is very rich and key to…

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

The phenomenon of Anderson localization of waves in elastic systems is studied. We analyze this phenomenon in two different set of systems: disordered linear chains of harmonic oscillators and disordered rods which oscillate with torsional…

经典物理 · 物理学 2023-07-19 R. A. Mendez-Sanchez , L. Gutierrez , A. Morales , J. Flores , A. Diaz-de-Anda , G. Monsivais

In a frame of quasi-crystal approximation the dispersion equations are obtained for the wave vector of a coherent electromagnetic wave propagating in a media which contains a random set of parallel dielectric cylinders with possible…

光学 · 物理学 2007-05-23 Nadejda L. Cherkas

We study the effect of localisation on the propagation of a pulse through a multi-mode disordered waveguide. The correlator <u(omega1)u*(omega2)> of the transmitted wave amplitude u at two frequencies differing by delta_omega has for large…

无序系统与神经网络 · 物理学 2007-05-23 C. W. J. Beenakker , K. J. H. van Bemmel , P. W. Brouwer

In this paper, we report on the generation and propagation of traveling pulses in a homogeneous network of diffusively coupled, excitable, slow-fast dynamical neurons. The spatially extended system is modelled using the nearest neighbor…

Dynamic modulation of material properties in space and time enables powerful control over wave propagation, yet existing theories largely rely on idealized, nondispersive models. In realistic media, frequency dispersion can strongly reshape…

光学 · 物理学 2026-04-02 Klaas De Kinder , Christophe Caloz

We investigate the quantum dynamics in a disordered electronic lattice with Fibonacci sequence of site energy and off-diagonal electron-phonon coupling within a sub-Ohmic bath by the time-dependent density matrix renormalization group…

无序系统与神经网络 · 物理学 2017-04-26 Yao Yao

Advective trapping occurs when solute enters low velocity zones in heterogeneous porous media. Classical local modeling approaches combine the impact of slow advection and diffusion into a hydrodynamic dispersion coefficient and many…

流体动力学 · 物理学 2020-12-02 Juan J. Hidalgo , Insa Neuweiler , Marco Dentz

We investigate the occurrence of anomalous diffusive transport associated with acoustic wave fields propagating through highly-scattering periodic media. Previous studies had correlated the occurrence of anomalous diffusion to either the…

无序系统与神经网络 · 物理学 2019-03-27 Salvatore Buonocore , Mihir Sen , Fabio Semperlotti

We consider a system of two reaction-diffusion-advection equations describing the one dimensional directed motion of particles with superimposed diffusion and mutual alignment. For this system we show the existence of traveling wave…

偏微分方程分析 · 数学 2021-01-19 Heinrich Freistühler , Jan Fuhrmann

Waves propagate through disordered systems in a variety of regimes. There is a threshold of disorder beyond which waves become localized and transport becomes restricted. The intensity I of the wave transmitted through a system has a…

无序系统与神经网络 · 物理学 2007-05-23 Gabriel A. Cwilich , Fredy R. Zypman

We investigate diffusion of excitation in one- and two-dimensional lattices with random on-site energies and deterministic long-range couplings (hopping) inversely proportional to the distance. Three regimes of diffusion are observed in…

无序系统与神经网络 · 物理学 2020-11-18 Karol Kawa , Paweł Machnikowski

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 investigate the transport dynamics of elongated particles in cellular vortical flows that undergo spatial oscillations over time. Experimental flow visualizations reveal mixed flow fields with chaotic and elliptic regions coexisting.…

流体动力学 · 物理学 2025-08-14 Shiyuan Hu , Xiuyuan Yang , Nan Luo , Jun Zhang , Xingkun Man

We consider principal properties of various wave regimes in two selected excitable systems with linear cross-diffusion in one spatial dimension observed at different parameter values. This includes fixed-shape propagating waves, envelope…

斑图形成与孤子 · 物理学 2015-06-22 M. A. Tsyganov , V. N. Biktashev

Diffusion of electrons in a two-dimensional system with time-dependent random potentials is investigated numerically. The correction to the conductivity due to inelastic scatterings by oscillating potentials is shown to be a universal…

无序系统与神经网络 · 物理学 2016-08-31 Takeshi Nakanishi , Tomi Ohtsuki , Tohru Kawarabayashi

We consider the problem of electron transport along a one-dimensional disordered multiple-scattering conductor, and study the electron density for all the electronic levels. A model is proposed for the reduced density matrix of the system…

无序系统与神经网络 · 物理学 2023-03-14 Gerardo Rivas , Miztli Yepez , Pier A. Mello

Quantum-confined semiconductor structures are the cornerstone of modern-day electronics. Spatial confinement in these structures leads to formation of discrete low-dimensional subbands. At room temperature, carriers transfer among different…

介观与纳米尺度物理 · 物理学 2009-08-14 I. Knezevic , E. B. Ramayya , D. Vasileska , S. M. Goodnick