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We investigate numerically the scattering of waves on discrete graphs. An efficient algorithm is developed to compute the reflection and transmission (spectral) coefficients. We then explore various configurations of input and output leads,…

Mathematical Physics · Physics 2025-08-29 Moysey Brio , Jean-Guy Caputo

Atomic-scale variations in semiconductor heterostructures, arising from strain, interfaces, and compositional modulation, strongly influence electronic band dispersion but remain difficult to probe and compare using first-principles methods…

Materials Science · Physics 2026-03-09 Artem K Pimachev , Sanghamitra Neogi

We study the electron transport through a quantum wire under the influence of external time-dependent gate voltages. The wire is modelled by a tight-binding Hamiltonian for which we obtain the current from the corresponding transmission.…

Mesoscale and Nanoscale Physics · Physics 2009-04-25 Tomasz Kwapinski , Sigmund Kohler , Peter Hanggi

The electromagnetic modes and the resonances of homogeneous, finite size, two-dimensional bodies are examined in the frequency domain by a rigorous full wave approach based on an integro-differential formulation of the electromagnetic…

Mesoscale and Nanoscale Physics · Physics 2019-05-22 Carlo Forestiere , Giovanni Gravina , Giovanni Miano , Mariano Pascale , Roberto Tricarico

We present a formulation of the determination of the impedance between any two nodes in an impedance network. An impedance network is described by its Laplacian matrix L which has generally complex matrix elements. We show that by solving…

Mathematical Physics · Physics 2009-11-11 W. J. Tzeng , F. Y. Wu

In this paper, we give an analytic solution for graphs with n nodes and E edges for which the probability of obtaining a given graph G is specified in terms of the degree sequence of G. We describe how this model naturally appears in the…

Probability · Mathematics 2008-10-20 M. Draief , A. Ganesh , L. Massoulie

We consider highly heterogeneous random networks with symmetric interactions in the limit of high connectivity. A key feature of this system is that the spectral density of the corresponding ensemble exhibits a divergence within the bulk.…

Disordered Systems and Neural Networks · Physics 2023-11-29 Diego Tapias , Peter Sollich

Scattering resonances due to the dipole-dipole interaction between ultracold molecules, induced by static or microwave fields, are studied theoretically. We develop a method for coupled-channel calculations that can efficiently impose many…

Quantum Gases · Physics 2023-07-11 Tijs Karman

Random walks are studied on disordered cellular networks in 2-and 3-dimensional spaces with arbitrary curvature. The coefficients of the evolution equation are calculated in term of the structural properties of the cellular system. The…

Disordered Systems and Neural Networks · Physics 2009-10-28 Tomaso Aste

In this paper we provide an analytic framework for computing the expected downlink coverage probability, and the associated data rate of cellular networks, where base stations are distributed in a random manner. The provided expressions are…

Information Theory · Computer Science 2016-05-27 Akram Al-Hourani , Sithamparanathan Kandeepan

Ab initio calculation of dielectric response with high-accuracy electronic structure methods is a long-standing problem, for which mean-field approaches are widely used and electron correlations are mostly treated via approximated…

Chemical Physics · Physics 2024-06-25 Xiang Li , Yubing Qian , Ji Chen

In the present article the classical problem of electromagnetic scattering by a single homogeneous sphere is revisited. Main focus is the study of the scattering behavior as a function of the material contrast and the size parameters for…

Classical Physics · Physics 2017-06-28 Dimitrios C. Tzarouchis , Pasi Ylä-Oijala , Ari Sihvola

Semi-linear response theory determines the absorption coefficient of a driven system using a resistor network calculation: Each unperturbed energy level of a particle in a vibrating trap, or of an electron in a mesoscopic ring, is regarded…

Mesoscale and Nanoscale Physics · Physics 2010-11-18 Alexander Stotland , Tsampikos Kottos , Doron Cohen

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…

Disordered Systems and Neural Networks · Physics 2016-08-31 Takeshi Nakanishi , Tomi Ohtsuki , Tohru Kawarabayashi

We consider a single-layer graphene with high ripples, so that the pseudo-magnetic fields due to these ripples are strong. If the magnetic length corresponding to a typical pseudo-magnetic field is smaller than the ripple size, the…

Mesoscale and Nanoscale Physics · Physics 2018-10-17 Rajesh K. Malla , M. E. Raikh

In a scattering experiment, the induced dipole moments of a magnetoelectric point scatterer in response to driving fields are given by its polarizability tensor \alpha. Its linewidth will be dictated by the local density of optical states…

Optics · Physics 2013-03-19 Andrej Kwadrin , A. Femius Koenderink

This paper gives an in-depth study of a multiple-antenna wireless communication scenario in which a weak signal received at an intermediate relay station is amplified and then forwarded to the final destination. The key quantity determining…

Exactly Solvable and Integrable Systems · Physics 2013-06-11 Yang Chen , Nazmus S. Haq , Matthew R. McKay

This paper addresses the understanding and characterization of residual networks (ResNet), which are among the state-of-the-art deep learning architectures for a variety of supervised learning problems. We focus on the mapping component of…

Computer Vision and Pattern Recognition · Computer Science 2018-06-25 Francois Rousseau , Ronan Fablet

Random assemblies of magnetic nanowires represent a unique class of materials with promising applications in spintronics and information storage. These assemblies exhibit complex behavior due to the combination of magnetic dipolar…

Statistical Mechanics · Physics 2025-07-29 Frank Barrows , Ezio Iacocca , Francesco Caravelli

We show that a dispersion of monodomain ferromagnetic particles in a solid phase exhibits stochastic resonance when a driven linearly polarized magnetic field is applied. By using an adiabatic approach, we calculate the power spectrum, the…

Condensed Matter · Physics 2009-10-28 A. Perez-Madrid , J. M. Rubi