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We consider time-harmonic elastodynamic problems in heterogeneous media.cWe focus on scattering problems in the high-frequency regime and incnearly incompressible media, where the the angular frequency $\omega$ and ratio of the Lam\'e…

Analysis of PDEs · Mathematics 2024-03-13 T. Chaumont-Frelet , S. Nicaise

Plasmonic antennas offer promising opportunities to control the emission of quantum objects. As a consequence, the fluorescence enhancement factor is widely used as a figure of merit for a practical antenna realization. However, the…

Optics · Physics 2011-09-26 Jerome Wenger

We present a semi-analytical treatment of both the elastic and inelastic collisional properties near a p-wave Feshbach resonance. Our model is based on a simple three channel system that reproduces more elaborate coupled-channel…

We study disorder-induced spectral correlations and their effect on the magnetic susceptibility of mesoscopic quantum systems in the non-diffusive regime. By combining a diagrammatic perturbative approach with semiclassical techniques we…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Edward McCann , Klaus Richter

We study a nonuniversal contribution to the dephasing rate of conduction electrons due to local vibrational modes. The inelastic scattering rate is strongly influenced by multiphonon excitations, exhibiting oscillatory behaviour. For higher…

Strongly Correlated Electrons · Physics 2009-11-13 Balázs Dóra , Miklós Gulácsi

In the framework of multiple-scattering theory, we show that the dispersion relations of certain electromagnetic (EM) and elastic metamaterials can be obtained analytically in the long-wavelength limit. Specific examples are given to the…

Materials Science · Physics 2011-09-06 Ying Wu , Zhao-Qing Zhang

Spatially periodic elastic metamaterials, comprising hard inclusions within a soft matrix in $d$-dimensional space ($d\geq 2$), exhibit a rich spectrum of physical phenomena. This paper investigates such a model and presents the following…

Analysis of PDEs · Mathematics 2025-09-09 Yixian Gao , Shuguan Ji , Shangling Song

We use dynamical mean field theory to find an exact solution for inelastic light scattering in strongly correlated materials such as those near a quantum-critical metal-insulator transition. We evaluate the results for $\textbf{q}=0$…

Strongly Correlated Electrons · Physics 2009-11-10 A. M. Shvaika , O. Vorobyov , J. K. Freericks , T. P. Devereaux

The elastic scattering cross section measured at energies $E\lesssim 10$ MeV/nucleon for some light heavy-ion systems having two identical cores like $^{16}$O+$^{12}$C exhibits an enhanced oscillatory pattern at the backward angles. Such a…

Nuclear Theory · Physics 2021-07-22 Nguyen Tri Toan Phuc , Nguyen Hoang Phuc , Dao. T. Khoa

Disorder-induced spectral correlations of mesoscopic quantum systems in the non-diffusive regime and their effect on the magnetic susceptibility are studied. We perform impurity averaging for non-translational invariant systems by combining…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 Edward McCann , Klaus Richter

An application of resonant inelastic x-ray scattering technique for studying of optical scale excitations in electron-correlated materials is discussed. Examples are given including data obtained for 3d transition metal, lanthanide, and…

Strongly Correlated Electrons · Physics 2007-05-23 Sergei M. Butorin

We propose an explanation for the quadratic dependence on the momentum $Q$, of the broadening of the acoustic excitation peak recently found in the study of the dynamic structure factor of many real and simulated glasses. We ascribe the…

Disordered Systems and Neural Networks · Physics 2009-10-31 M. Montagna , G. Ruocco , G. Viliani , R. Di Leonardo , R. Dusi , G. Monaco , M. Sampoli , T. Scopigno

The propagation of acoustic and elastic waves in time-varying, spatially homogeneous media can exhibit different phenomena when compared to traditional spatially-varying, temporally-homogeneous media. In the present work, the response of a…

Applied Physics · Physics 2023-04-05 Brian L. Kim , Christoper Chong , Setare Hajarolasvadi , Yifan Wang , Chiara Daraio

This article studies some numerical approximations of the homogenized matrix for stochastic linear elliptic partial differential equations in divergence form. We focus on the case when the underlying random field is a small perturbation of…

Numerical Analysis · Mathematics 2011-02-21 Ronan Costaouec

The most general and versatile defining feature of quantum chaotic systems is that they possess an energy spectrum with correlations universally described by random matrix theory (RMT). This feature can be exhibited by systems with a well…

Chaotic Dynamics · Physics 2019-01-11 Bruno Bertini , Pavel Kos , Tomaz Prosen

This work studies scattering-induced elastic wave attenuation and phase velocity variation in 3D untextured cubic polycrystals with statistically equiaxed grains using the theoretical second-order approximation (SOA) and Born approximation…

Classical Physics · Physics 2022-02-17 Ming Huang , Peter Huthwaite , Stanislav I. Rokhlin , Michael J. S. Lowe

We present a scattering theory description for the inelastic current noise in the presence of electron-vibration interactions. In this description, we specify elastic and inelastic scattering contributions to the shot noise by examining…

Mesoscale and Nanoscale Physics · Physics 2017-09-15 Sejoong Kim

We present a detailed theoretical and experimental study of Feshbach resonances in the 6Li-40K mixture. Particular attention is given to the inelastic scattering properties, which have not been considered before. As an important example, we…

For the flavor-singlet heavy quark system of charmonia in the pseudoscalar ($\eta_c(1S)$) channel, we calculate the elastic (EFF) and transition form factors (TFF) ($\eta_c(1S) \rightarrow \gamma \gamma^*$) for a wide range of photon…

High Energy Physics - Phenomenology · Physics 2016-06-22 Marco A. Bedolla , Khépani Raya , J. J. Cobos-Martínez , Adnan Bashir

The transmission of acoustic phonons is an important element in the design and performance of nano-mechanical devices operating in the mesoscopic limit. Analytic expressions for the power transmission coefficient, T, exist only in the…

Applied Physics · Physics 2019-03-27 John Bartlett , Karwan Rostem , Edward Wollack