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There is still a gap in understanding phonons scattering by geometrical defects at the nanoscale, and it remains a significant challenge for heat transfer management in nanoscale devices and systems. In this study, we aim to explore the…

Mesoscale and Nanoscale Physics · Physics 2024-03-19 Mykola Isaiev , Nataliia Kyrychenko , Vasyl Kuryliuk , David Lacroix

We investigate the effects of phonon scattering on the electronic current noise through nanojunctions using the non-equilibrium Green's functions formalism extended to include the counting field. In the case of weak electron-phonon coupling…

Mesoscale and Nanoscale Physics · Physics 2009-09-28 Federica Haupt , Tomas Novotny , Wolfgang Belzig

Using the atomistic nonequilibrium Green's function, we find that thermal conductance of carbon nanotubes with presence of topological lattice imperfects is remarkably reduced, due to the strong Rayleigh scattering of high-frequency…

Mesoscale and Nanoscale Physics · Physics 2012-03-14 Jian Wang , Liang Li , Jian-Sheng Wang

A periodizing scheme and the method of fundamental solutions are used to solve acoustic wave scattering from doubly-periodic three-dimensional multilayered media. A scattered wave in a unit cell is represented by the sum of the near and…

Numerical Analysis · Mathematics 2019-06-26 Min Hyung Cho

In spite of their importance for understanding phonon transport phenomena in thin films and polycrystalline solids, the effects of boundary roughness scattering on phonon specularity and coherence are poorly understood because there is no…

Mesoscale and Nanoscale Physics · Physics 2020-05-08 Zhun-Yong Ong , Georg Schusteritsch , Chris J. Pickard

We present an approach to calculate ballistic phonon transport that combines the atomistic Green's function (AGF) method with ab initio results. For the inter atomic potential we use the harmonic approach. The equilibrium positions of the…

Materials Science · Physics 2011-11-11 M. Bachmann , M. Czerner , S. Edaldati-Boostan , C. Heiliger

Utilizing the non-equilibrium Green's function method, we study the local heat current flow of phonons in nanoscale ballistic graphene nanoribbon, where boundary scattering leads to the formation of atomic-scale current vortices. We further…

Mesoscale and Nanoscale Physics · Physics 2024-07-23 Yin-jie Chen , Jing-tao Lü

The mechanisms causing the reduction in lattice thermal conductivity in highly P- and B-doped Si are looked into in detail. Scattering rates of phonons by point defects, as well as by electrons, are calculated from first principles. Lattice…

Materials Science · Physics 2019-10-02 Bonny Dongre , Jesús Carrete , Shihao Wen , Jinlong Ma , Wu Li , Natalio Mingo , Georg K. H. Madsen

This paper introduces a fast algorithm, applicable throughout the electromagnetic spectrum, for the numerical solution of problems of scattering by periodic surfaces in two-dimensional space. The proposed algorithm remains highly accurate…

Computational Physics · Physics 2018-05-25 Oscar Bruno , Martín Maas

We present an accelerated and hardware parallelized integral-equation solver for the problem of acoustic scattering by a two-dimensional surface in three-dimensional space. The approach is based, in part, on the novel Interpolated Factored…

Numerical Analysis · Mathematics 2022-11-01 Edwin Jimenez , Christoph Bauinger , Oscar P. Bruno

Phonon transmission across interfaces of dissimilar materials has been studied intensively in the recent years by using atomistic simulation tools owing to its importance in determining the effective thermal conductivity of nanostructured…

Materials Science · Physics 2015-05-25 Xiaokun Gu , Xiaobo Li , Ronggui Yang

In this work, we use a combination of first-principles calculations under the density functional theory framework and heat transport simulations using the atomistic Green's function (AGF) method to quantitatively predict the contribution of…

Mesoscale and Nanoscale Physics · Physics 2017-03-01 Sridhar Sadasivam , Ning Ye , James Charles , Kai Miao , Joseph P. Feser , Tillmann Kubis , Timothy S. Fisher

We have developed a new theoretical formalism for phonon transport in nanostructures using the nonequilibrium phonon Green's function technique and have applied it to thermal conduction in defective carbon nanotubes. The universal…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Takahiro Yamamoto , Kazuyuki Watanabe

Because of high surface-to-volume ratio, the most prominent size effect limiting thermal transport originates from phonon-surface scattering in nanostructures. Herein we propose the mechanism of phonon scattering by the bond strength…

Mesoscale and Nanoscale Physics · Physics 2019-01-16 Guofeng Xie , Gang Zhang

A domain integral method employing a specific Green's function (i.e., incorporating some features of the global problem of wave propagation in an inhomogeneous medium) is developed for solving direct and inverse scattering problems relative…

This paper presents a novel {\em Interpolated Factored Green Function} method (IFGF) for the accelerated evaluation of the integral operators in scattering theory and other areas. Like existing acceleration methods in these fields, the IFGF…

Numerical Analysis · Mathematics 2021-02-24 Christoph Bauinger , Oscar P. Bruno

We study the direct and inverse scattering problems when the incident electromagnetic field is a time harmonic point- generated wave in a chiral medium and the scatterer is a perfectly conducting sphere. The exact Green s function and the…

Classical Physics · Physics 2008-12-12 Nikolaos Berketis , Christodoulos Athanasiadis

Localised defect modes generated by a finite line defect composed of several masses, embedded an infinite square cell lattice, are analysed using the linear superposition of Green's function for a single mass defect. Several representations…

Mathematical Physics · Physics 2015-03-20 D. J. Colquitt , M. J. Nieves , I. S. Jones , A. B. Movchan , N. V. Movchan

This paper presents a full-spectrum Green function methodology (which is valid, in particular, at and around Wood-anomaly frequencies) for evaluation of scattering by periodic arrays of cylinders of arbitrary cross section-with application…

Numerical Analysis · Mathematics 2017-04-12 Oscar P. Bruno , Agustin G. Fernandez-Lado

Higher-order phonon scatterings beyond fourth order remain largely unexplored despite their potential importance in strongly anharmonic materials at elevated temperatures. We develop a theoretical formalism for first-principles calculation…

Materials Science · Physics 2025-12-23 Yi Xia