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Anderson localization is related to exponential localization of a particle in the configuration space in the presence of a disorder potential. Anderson localization can be also observed in the momentum space and corresponds to quantum…

Atomic Physics · Physics 2017-06-07 Krzysztof Giergiel , Krzysztof Sacha

We theoretically study the transport properties of self-propelled particles on complex structures, such as motor proteins on filament networks. A general master equation formalism is developed to investigate the persistent motion of…

Soft Condensed Matter · Physics 2014-09-19 M. Reza Shaebani , Zeinab Sadjadi , Igor M. Sokolov , Heiko Rieger , Ludger Santen

We study numerically a spreading of an initially localized wave packet in a one-dimensional discrete nonlinear Schr\"odinger lattice with disorder. We demonstrate that above a certain critical strength of nonlinearity the Anderson…

Disordered Systems and Neural Networks · Physics 2008-03-12 A. S. Pikovsky , D. L. Shepelyansky

We investigate the dynamics of a particle moving randomly along a disordered hetero-polymer subjected to rapid conformational changes which induce superdiffusive motion in chemical coordinates. We study the antagonistic interplay between…

Statistical Mechanics · Physics 2009-11-10 D. Brockmann , T. Geisel

We present a method to demonstrate Anderson localization in an optically induced randomized potential. By usage of computer controlled spatial light modulators, we are able to implement fully randomized nondiffracting beams of variable…

We follow the dynamics of nonlinear waves in two-dimensional disordered lattices with tunable nonlinearity. In the absence of nonlinear terms Anderson localization traps the packet in space. For the nonlinear case a destruction of Anderson…

Chaotic Dynamics · Physics 2012-03-15 T. V. Laptyeva , J. D. Bodyfelt , S. Flach

We study spectral properties of partial differential operators modelling composite materials with highly contrasting constituents, comprised of soft spherical inclusions with random radii dispersed in a stiff matrix. Such operators have…

Spectral Theory · Mathematics 2025-12-03 Matteo Capoferri , Matthias Täufer

Branched flow is a universal phenomenon in which treebranch-like filaments form through traveling waves or particle flows in irregular mediums. Branched flow of high-current relativistic electron beams (REBs) has been recently discovered…

Plasma Physics · Physics 2023-12-18 K. Jiang , T. W. Huang , R. Li , C. T. Zhou

We study the propagation of one-dimentional optical beams in a weakly nonlocal medium exhibiting cubic-quintic nonlinearity. A nonlinear equation governing the evolution of the beam intensity in the nonlocal medium is derived thereby which…

Pattern Formation and Solitons · Physics 2021-11-10 Houria Triki , Vladimir I. Kruglov

Complex dielectric media often appear opaque because light traveling through them is scattered multiple times. Although the light scattering is a random process, different paths through the medium can be correlated encoding information…

Optics · Physics 2013-01-08 Pedro David García , Søren Stobbe , Immo Söllner , Peter Lodahl

Disorder-induced Anderson localization in quasiparticle transport is a challenging problem to address, even more so in the presence of dissipation as the symptoms of disorder-induced localization are very closely simulated by the absorption…

Optics · Physics 2018-11-21 M. Balasubrahmaniyam , Ajay Nahata , Sushil Mujumdar

We study the transport and localization properties of scalar vibrations on a lattice with random bond strength by means of the transfer matrix method. This model has been recently suggested as a means to investigate the vibrations and heat…

Disordered Systems and Neural Networks · Physics 2007-05-23 Omri Gat , Zeev Olami

A conducting 1D chain or 2D film inside (or on the surface of) an insulator is considered. Impurities displace the charges inside the insulator. This results in a long-range fluctuating electric field acting on the conducting line (plane).…

Condensed Matter · Physics 2009-10-31 V. V. Flambaum , V. V. Sokolov

When transported in confined geometries rigid fibers show interesting transport dynamics induced by friction with the top and bottom walls. Fiber flexibility causes an additional coupling between fiber deformation and transport and is…

Anderson localization is studied for two-dimensional Dirac fermions in the presence of strong random scattering. Averaging with respect to the latter leads to a graphical representation of the correlation function with entangled random…

Disordered Systems and Neural Networks · Physics 2014-12-25 K. Ziegler

In this paper, we propose a one-dimensional disordered plasmonic structure composed of a graphene single layer placed on a random grating composed of InAs. The propagation of a plasmonic wave through this structure is investigated…

Optics · Physics 2018-09-11 Abbas Ghasempour Ardakani , Marzieh Sedaghat Nejad

Multi-band transmission systems have emerged as a potential answer to the limited capacity of silica based optical fiber. It is based on utilizing the complete low-loss region of optical fibers. Additionally, elastic optical networks (EON)…

Signal Processing · Electrical Eng. & Systems 2021-02-25 Esteban Paz , Gabriel Saavedra

Understanding random lasing is a formidable theoretical challenge. Unlike conventional lasers, random lasers have no resonator to trap light, they are highly multimode with potentially strong modal interactions and they are based on…

Optics · Physics 2013-01-24 Peter Stano , Philippe Jacquod

Imposing defined spinning to a particle beam increases its stability against perturbations from space charge~[Y.-L.~Cheon et al., Effects of beam spinning on the fourth-order particle resonance of 3D bunched beams in high-intensity linear…

Accelerator Physics · Physics 2023-09-21 Chen Xiao , Lars Groening

We put forward an experimental configuration to observe transverse Anderson localization of partially coherent light beams with a tunable degree of first-order coherence. The scheme makes use of entangled photons propagating in disordered…

Quantum Physics · Physics 2014-05-09 Jiří Svozilík , Jan Peřina , Juan P. Torres