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We show how resonant (near-field) coupling affects wave transport in disordered media through ultrasonic experiments in concentrated suspensions. The samples consist of resonant emulsions in which oil droplets are suspended in a liquid gel.…

Soft Condensed Matter · Physics 2022-08-25 Benoit Tallon , Thomas Brunet , John H. Page

We use optimal fluctuation method for a new ballistic $\sigma$-model to study the long time dispersion of conductance $G(t)$ of a mesoscopic sample. In the long time limit the conductance of a $d$-dimensional sample decays as $\exp (-A…

Condensed Matter · Physics 2016-08-31 B. A. Muzykantskii , D. E. Khmelnitskii

The driven-dissipative nature of light-matter interaction inside a multimode, dye-filled microcavity makes it an ideal system to study nonequilibrium phenomena, such as transport. In this work, we investigate how light is efficiently…

We study acoustic propagation in one dimensional water ducts containing many air-filled blocks. The acoustic band structures for the periodic arrangements of the blocks is calculated, whereas the transmission for various random…

Condensed Matter · Physics 2015-06-24 Pi-Gang Luan , Zhen Ye

Heterogeneous media diffusion is often described using position-dependent diffusion coefficients and estimated indirectly through mean squared displacement in experiments. This approach may overlook other mechanisms and their interaction…

Statistical Mechanics · Physics 2023-09-11 Haroldo V. Ribeiro , Angel A. Tateishi , Ervin K. Lenzi , Richard L. Magin , Matjaz Perc

We find an analogy between turbulence and the dynamics of the continuous spontaneous localization model (CSL) of the wave function. The use of a standard white noise in the localization process gives Richardson's t^3 law for the turbulent…

Quantum Physics · Physics 2009-10-31 L. F. Santos , C. O. Escobar

The method is proposed adapted for calculating the T=0 conductance of arbitrarily stretched disordered conducting strips in terms of the Kubo theory. The 2D scattering problem is solved through exact one-dimensionalization in mode…

Disordered Systems and Neural Networks · Physics 2009-10-31 Yu. V. Tarasov

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…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Thomas Wellens , Benoit Gremaud

Trapping and un-trapping of spiral tips in a two-dimensional homogeneous excitable medium with local small-world connections is studied by numerical simulation. In a homogeneous medium which can be simulated with a lattice of regular…

Pattern Formation and Solitons · Physics 2009-11-10 Xiaonan Wang , Ying Lu , Minxi Jiang , Qi Ouyang

In this paper, we study the full conductance statistics of disordered one dimensional wire under the application of light. We develop the transfer matrix method for periodically driven systems to analyze the conductance of large system with…

Disordered Systems and Neural Networks · Physics 2015-06-03 Takuya Kitagawa , Takashi Oka , Eugene Demler

The paper addresses the single-file diffusion in the presence of an absorbing boundary. The emphasis is on an interplay between the hard-core interparticle interaction and the absorption process. The resulting dynamics exhibits several…

Statistical Mechanics · Physics 2014-02-26 Artem Ryabov , Petr Chvosta

In this work, we first prove a stability theorem for traveling waves in a class of non-cooperative reaction-diffusion systems with nonlocal dispersal of equal diffusivities. Our stability criterion is in the sense that the initial…

Analysis of PDEs · Mathematics 2024-05-08 Jong-Shenq Guo , Masahiko Shimojo

We study the optimal diffusive transmission and absorption of broadband or polychromatic light in a disordered medium. By introducing matrices describing broadband transmission and reflection, we formulate an extremal eigenvalue problem…

Optics · Physics 2015-11-26 Chia Wei Hsu , Arthur Goetschy , Yaron Bromberg , A. Douglas Stone , Hui Cao

Transmission of the scalar field through the random medium, represented by the system of randomly distributed dielectric cylinders is calculated numerically. System is mapped to the problem of electronic transport in disordered…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 P. Markos , C. M. Soukoulis

Among the remarkable scattering properties of correlated disordered materials, the origin of pseudo-gaps and the formation of localized states are some of the most puzzling features. Fundamental differences between scalar and vector waves…

Disordered Systems and Neural Networks · Physics 2021-10-26 R. Monsarrat , R. Pierrat , A. Tourin , A. Goetschy

We present analytical results on transport properties of many-mode waveguides with randomly stratified disorder having long-range correlations. To describe such systems, the theory of 1D transport recently developed for a correlated…

Condensed Matter · Physics 2009-11-10 F. M. Izrailev , N. M. Makarov

We study the interaction among dispersion, nonlinearity, and disorder effects in the context of wave transmission through a discrete periodic structure, subjected to continuous harmonic excitation in its stop band. We consider a damped…

Pattern Formation and Solitons · Physics 2025-10-20 Behrooz Yousefzadeh , A. Srikantha Phani

We investigate the influence of the phase-front curvature of an input light beam on the transverse localization of light by choosing an evanescently coupled disordered one-dimensional semi-infinite waveguide lattice as an example. Our…

Optics · Physics 2015-06-04 S Ghosh , B P Pal , R K Varshney , G P Agrawal

The diffusion model is used to calculate the time-averaged flow of particles in stochastic media and the propagation of waves averaged over ensembles of disordered static configurations. For classical waves exciting static disordered…

Disordered Systems and Neural Networks · Physics 2024-01-11 Azriel Z. Genack , Yiming Huang , Asher Maor , Zhou Shi

A mode-coupling theory for the slow single-particle dynamics in fluids adsorbed in disordered porous media is derived, which complements previous work on the collective dynamics [V. Krakoviack, Phys. Rev. E 75, 031503 (2007)]. Its…

Disordered Systems and Neural Networks · Physics 2009-06-10 V. Krakoviack