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We study nonequilibrium steady states of a one-dimensional stochastic model, originally introduced as an approximation of the Discrete Nonlinear Schr\"odinger equation. This model is characterized by two conserved quantities, namely mass…

Statistical Mechanics · Physics 2023-06-29 Stefano Iubini , Antonio Politi , Paolo Politi

The multichannel scattering problem for the stationary Schr\"{o}dinger equation on a line with different thresholds at both infinities is investigated. The analytical structure of the Jost solutions and of the transition matrix relating the…

Mathematical Physics · Physics 2024-03-07 P. O. Kazinski , P. S. Korolev

This paper develops a scattering theory for the asymmetric transport observed at interfaces separating two-dimensional topological insulators. Starting from the spectral decomposition of an unperturbed interface Hamiltonian, we present a…

Spectral Theory · Mathematics 2025-08-13 Binglu Chen , Guillaume Bal

Nonlinear losses accompanying Kerr self-focusing substantially impacts the dynamic balance of diffraction and nonlinearity, permitting the existence of localized and stationary solutions of the 2D+1 nonlinear Schrodinger equation which are…

Based on recent calculations of the self-diffusion (SD) coefficient in amorphous silicon (a-Si) by classical Molecular Dynamics simulation [M. Posselt, H. Bracht, and D. Radi\'c, J. Appl. Phys. 131, 035102 (2022)] detailed investigations on…

Materials Science · Physics 2024-06-19 Matthias Posselt , Hartmut Bracht , Mahdi Ghorbani-Asl , Drazen Radić

We derive a theory for transmission through disordered finite superlattices in which the interface roughness scattering is treated by disorder averaging. This procedure permits efficient calculation of the transmission thr ough samples with…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Andreas Wacker , Ben Yu-Kuang Hu

We discuss the properties of nonlinear localized modes in sawtooth lattices, in the framework of a discrete nonlinear Schr\"odinger model with general on-site nonlinearity. Analytic conditions for existence of exact compact three-site…

Pattern Formation and Solitons · Physics 2015-09-24 Magnus Johansson , Uta Naether , Rodrigo A. Vicencio

We report several major theoretical steps towards realizing stable long-distance multichannel soliton transmission in Kerr nonlinear waveguide loops. We find that transmission destabilization in a single waveguide is caused by resonant…

Pattern Formation and Solitons · Physics 2016-04-11 Debananda Chakraborty , Avner Peleg , Quan M. Nguyen

Liquids spreading over a solid substrate under the action of various forces are known to exhibit a long wavelength contact line instability. We use an example of thermally driven spreading on a horizontal surface to study how the stability…

Pattern Formation and Solitons · Physics 2017-04-05 Roman O. Grigoriev

Scattering on a resonance state coupled to a complicated background is a typical problem for mesoscopic quantum many-body systems as well as for wave propagation in the presence of a complex environment. On average, such a simple mode…

Mesoscale and Nanoscale Physics · Physics 2020-03-09 Dmitry V. Savin

Non-resonant light interacting with diatomics via the polarizability anisotropy couples different rotational states and may lead to strong hybridization of the motion. The modification of shape resonances and low-energy scattering states…

Asymmetric heat transfer systems, often referred to as thermal diodes or thermal rectifiers, have garnered increasing interest due to their wide range of application possibilities. Most of those previous macroscopic thermal diodes either…

Applied Physics · Physics 2022-09-09 Yishu Su , Ying Li , Minghong Qi , Sebastien Guenneau , Huagen Li , Jian Xiong

We consider a multiple-input multiple-output (MIMO) multiple access channel (MAC), where the channel between each transmitter and the receiver is modeled by the doubly-scattering channel model. Based on novel techniques from random matrix…

Information Theory · Computer Science 2011-05-11 Jakob Hoydis , Romain Couillet , Merouane Debbah

This work considers distributed sensing and transmission of sporadic random samples. Lower bounds are derived for the reconstruction error of a single normally or uniformly-distributed finite-dimensional vector imperfectly measured by a…

Information Theory · Computer Science 2015-11-20 Ayşe Ünsal , Raymond Knopp

This paper presents a fast algorithm for computing transport properties of two-dimensional Dirac operators with linear domain walls, which model the macroscopic behavior of the robust and asymmetric transport observed at an interface…

Mathematical Physics · Physics 2023-05-17 Guillaume Bal , Jeremy G Hoskins , Zhongjian Wang

In contrast to the prevalent assumption of rich multipath in information theoretic analysis of wireless channels, physical channels exhibit sparse multipath, especially at large bandwidths. We propose a model for sparse multipath fading…

Information Theory · Computer Science 2007-07-13 Gautham Hariharan , Akbar Sayeed

We study the discrete nonlinear Schr\"oinger equation with weak disorder, focusing on the regime when the nonlinearity is, on the one hand, weak enough for the normal modes of the linear problem to remain well resolved, but on the other,…

Disordered Systems and Neural Networks · Physics 2014-02-25 D. M. Basko

We investigate MIMO eigenmode transmission using statistical channel state information at the transmitter. We consider a general jointly-correlated MIMO channel model, which does not require separable spatial correlations at the transmitter…

Information Theory · Computer Science 2016-11-17 Xiqi Gao , Bin Jiang , Xiao Li , Alex B. Gershman , Matthew R. McKay

Physical wireless transceivers suffer from a variety of impairments that distort the transmitted and received signals. Their degrading impact is particularly evident in modern systems with multiuser transmission, high transmit power, and…

Information Theory · Computer Science 2012-09-05 Emil Björnson , Per Zetterberg , Mats Bengtsson

We consider a general class of autocatalytic reactions, that has been shown to display stochastically switching behaviour (Discreteness Induced Transitions) in some parameter regimes. This behaviour was shown to occur when either the…

Probability · Mathematics 2023-12-01 Cameron Gallinger , Lea Popovic
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