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Structural defects in one-dimensional heat conductors couple longitudinal (stretching) and transverse (bending) vibrations. This coupling results in the scattering of longitudinal phonons to transverse phonons and backwards. We show that…

Chemical Physics · Physics 2025-05-27 Alexander L. Burin

Despite many of the applications of graphene rely on its uneven stiffness and high thermal conductivity, the mechanical properties of graphene, and in general of all 2D materials, are still elusive. The harmonic theory predicts a quadratic…

The ab initio model for heat propagation is the phonon transport equation, a Boltzmann-like kinetic equation. When two materials are put side by side, the heat that propagates from one material to the other experiences thermal boundary…

Numerical Analysis · Mathematics 2025-10-13 Irene M Gamba , Qin Li , Anjali Nair

Motivated by applications to acoustic imaging, the present work establishes a framework to analyze scattering for the one-dimensional wave, Helmholtz, Schr\"odinger and Riccati equations that allows for coefficients which are more singular…

Analysis of PDEs · Mathematics 2022-02-28 Peter C. Gibson

The problem of phonon scattering by grain boundaries is studied within the wedge disclination dipole (WDD) model. It is shown that a specific q-dependence of the phonon mean free path for biaxial WDD results in a low-temperature crossover…

Materials Science · Physics 2009-10-31 V. A. Osipov , S. E. Krasavin

Sound scattering by a finite width beam on a single rigid body rotation vortex flow is detected by a linear array of transducers (both smaller than a flow cell), and analyzed using a revised scattering theory. Both the phase and amplitude…

Chaotic Dynamics · Physics 2009-11-10 Sh. Seifer , V. Steinberg

We investigate factorized scattering from a reflecting and transmitting impurity. Bulk scattering is non trivial, provided that the bulk scattering matrix depends separately on the spectral parameters of the colliding particles, and not…

High Energy Physics - Theory · Physics 2009-11-07 M. Mintchev , E. Ragoucy , P. Sorba

In this work, using the scattering matrix method, we have investigated the transmission coefficients and the thermal conductivity in a double-bend waveguide structure. The transmission coefficients show strong resonances due to the…

Mesoscale and Nanoscale Physics · Physics 2007-10-05 Yi Ming , Zhexian Wang , Zejun Ding

We discuss and briefly overview recent progress with studying fluctuations in scattering on a resonance state coupled to the background of many chaotic states. Such a problem arises naturally, e.g., when dealing with wave propagation in the…

Quantum Physics · Physics 2017-12-21 D. V. Savin

We present an analysis of wave propagation and reflection in an acoustic waveguide with random sound soft boundary and a turning point. The waveguide has slowly bending axis and variable cross section. The variation consists of a slow and…

Analysis of PDEs · Mathematics 2016-09-16 Liliana Borcea , Josselin Garnier

Phonon properties of small Si nanowires in [110] direction have been analyzed using density functional perturbation theory. Several samples with varying diameters ranging from 0.38 to 1.5 nm have been calculated. It is found that the…

Materials Science · Physics 2022-07-06 Konstanze R. Hahn , Claudio Melis , Fabio Bernardini , Lorenzo Paulatto , Luciano Colombo

We consider a semi-infinite dielectric with multiple spatially dispersive resonances in the susceptibility. The effect of the boundary is described by an arbitrary reflection coefficient for polarization waves in the material at the…

Optics · Physics 2017-05-10 R. J. Churchill , T. G. Philbin

We have studied electron scattering by out-of-plane (flexural) phonon modes in doped suspended graphene and its effect on charge transport. In the free-standing case (absence of strain) the flexural branch shows a quadratic dispersion…

Materials Science · Physics 2012-09-14 Héctor Ochoa , Eduardo V. Castro , M. I. Katsnelson , F. Guinea

We present a mathematical theory of time-harmonic wave propagation and reflection in a two-dimensional random acoustic waveguide with sound soft boundary and turning points. The boundary has small fluctuations on the scale of the…

Analysis of PDEs · Mathematics 2017-02-14 Liliana Borcea , Josselin Garnier , Derek Wood

Understanding radiative transfer in random media like micro/nanoporous and particulate materials, allows people to manipulate the scattering and absorption of radiation, as well as opens new possibilities in applications such as imaging…

Mesoscale and Nanoscale Physics · Physics 2018-02-28 B. X. Wang , C. Y. Zhao

A complete one-dimensional scattering of a spinless particle on a time-independent potential barrier is considered. To describe separately transmitted and reflected particles in the corresponding subsets of identical experiments, we…

Quantum Physics · Physics 2007-05-23 N. L. Chuprikov

Femtosecond pump-probe spectroscopy has been carried out on suspended gold nanostructures with a rectangular cross section lithographed on a silicon substrate. With a thickness fixed to 110 nm and a width ranging from 200 nm to 800 nm, size…

Mesoscale and Nanoscale Physics · Physics 2015-11-17 Cyril Jean , Laurent Belliard , Loïc Becerra , Bernard Perrin

We analytically study phonon transmission and localization in random superlattices by using a Green's function approach. We derive expressions for the average transmission rate and localization length, or Lyapunov exponent, in terms of the…

Materials Science · Physics 2009-10-22 Norihiko Nishiguchi , Shin-ichiro Tamura , Franco Nori

We theoretically elucidate the boundary conditions for phonon distribution functions of long-wavelength acoustic phonons at smooth crystal interfaces. We first derive boundary conditions that fully incorporate reflection, transmission, and…

Mesoscale and Nanoscale Physics · Physics 2026-01-27 Yuta Suzuki , Shuntaro Sumita , Yusuke Kato

First-principles prediction of thermal conductivity and radiative properties is crucial. However, computing phonon scattering, especially for four-phonon scattering, could be prohibitively expensive, and the thermal conductivity even for…

Materials Science · Physics 2023-11-23 Ziqi Guo , Zherui Han , Dudong Feng , Guang Lin , Xiulin Ruan