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The lattice thermal conductivity of graphene is evaluated using a microscopic model that takes into account the lattice's discrete nature and the phonon dispersion relation within the Brillouin zone. The Boltzmann transport equation is…

Soft Condensed Matter · Physics 2024-01-18 J. Chen , Y. Liu

Suitably superimposed grey-medium solutions of the Boltzmann transport equation (BTE) provide a simple yet accurate description of non-grey quasiballistic heat conduction in transient thermal grating experiments. Recent applications of…

Mesoscale and Nanoscale Physics · Physics 2016-08-22 Bjorn Vermeersch , Ali Shakouri

A first-principles density functional method along with the direct solution of linearized Boltzmann transport equations are employed to systematically analyze the low-temperature thermal transport in crystalline GeTe. The extensive thermal…

Materials Science · Physics 2020-09-28 Kanka Ghosh , Andrzej Kusiak , Jean-Luc Battaglia

Two-dimensional (2D) ZrS2 monolayer (ML) has emerged as a promising candidate for thermoelectric (TE) device applications due to its high TE figure of merit, which is mainly contributed by its inherently low lattice thermal conductivity.…

Materials Science · Physics 2021-08-13 Abhiyan Pandit , Bothina Hamad

Understanding phonon transport across heterojunctions is important to achieve a wide range of thermal transport properties. Using the McKelvey-Shockley flux method with first-principles modeling, we theoretically investigate the phonon…

Mesoscale and Nanoscale Physics · Physics 2018-12-18 Jesse Maassen , Vahid Askarpour

We carry out a systematic study of the thermal conductivity of four single-layer transition metal dichalcogenides, MX$_2$ (M = Mo, W; X = S, Se) from first-principles by solving the Boltzmann Transport Equation (BTE). We compare three…

Materials Science · Physics 2019-03-29 Pol Torres , Francesc Xavier Alvarez , Xavier Cartoixà , Riccardo Rurali

Ballistic phonon effects, arising on length scales comparable to the mean-free-path, result in non-diffusive heat flow and alter the thermal properties of materials. Simple theoretical models that accurately capture non-diffusive transport…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Daniel Abarbanel , Jesse Maassen

Phonon surface scattering has been at the core of heat transport engineering in nanoscale structures and devices. Herein, we demonstrate that this phonon pathway can be the sole mechanism only below a characteristic, size-dependent…

We study nondiffusive thermal transport by phonons at small distances within the framework of the Boltzmann transport equation (BTE) and demonstrate that the transport is significantly affected by the distribution of phonons emitted by the…

Mesoscale and Nanoscale Physics · Physics 2017-10-05 Vazrik Chiloyan , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen

Nanoscale defects such as dislocations, have a significant impact on the phonon thermal transport properties in non-metallic materials. To unravel these effects, understanding of defect phonon modes is essential. Herein, at the atomic…

At micro- to nano-scales, classical size effects in heat conduction play an important role in suppressing the thermal transport process. Such effects occur when the characteristic lengths become commensurate to the mean free paths (MFPs) of…

Applied Physics · Physics 2019-05-08 Qing Hao , Yue Xiao , Qiyu Chen

We report finite-volume simulations of the phonon Boltzmann transport equation (BTE) for heat conduction across the heterogeneous interfaces in SiGe superlattices. The diffuse mismatch model incorporating phonon dispersion and polarization…

Mesoscale and Nanoscale Physics · Physics 2010-05-17 Dhruv Singh , Jayathi Y. Murthy , Timothy S. Fisher

Heat transport at nanoscales in semiconductors is investigated with a statistical method. The Boltzmann Transport Equation (BTE) which characterize phonons motion and interaction within the crystal lattice has been simulated with a Monte…

Classical Physics · Physics 2009-11-11 David Lacroix , Karl Joulain

Phonon transport of recently-fabricated $\mathrm{Na_2He}$ at high pressure is investigated from a combination of first-principles calculations and the linearized phonon Boltzmann equation within the single-mode relaxation time approximation…

Materials Science · Physics 2017-05-24 San-Dong Guo , Ai-Xia Zhang

The phonon Boltzmann transport equation (BTE) has been widely utilized to study thermal transport in solids. While for a number of materials the exact solution to the BTE has been obtained for a uniform heat flow, problems arising in…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Vazrik Chiloyan , Samuel Huberman , Zhiwei Ding , Jonathan Mendoza , Alexei A. Maznev , Keith A. Nelson , Gang Chen

The first order standard perturbation theory combined with ab initio projector augmented wave operator challenges the realization of the standard Sternheimer equation with linear computational efficiency. This efficiency motivates us to…

Materials Science · Physics 2018-10-05 Sushant Kumar Behera , Pritam Deb

Phonon size effects induce ballistic transport in nanomaterials, challenging Fourier's law. Nondiffusive heat transport is captured by the Peierls-Boltzmann transport equation (BTE), commonly solved under the relaxation time approximation…

Mesoscale and Nanoscale Physics · Physics 2020-03-10 Giuseppe Romano

In this article, we address lattice heat transport in single-walled carbon nanotubes (CNTs) by a quantum mechanical calculation of three-phonon scattering rates in the framework of the Boltzmann transport equation (BTE) and classical…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 Daniel Bruns , Alireza Nojeh , A. Srikantha Phani , Jörg Rottler

Understanding ballistic phonon transport effects in transient thermoreflectance experiments and explaining the observed deviations from classical theory remains a challenge. Diffusion equations are simple and computationally efficient but…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Jesse Maassen , Mark Lundstrom

Nanostructured materials enable high thermal transport tunability, holding promises for thermal management and heat harvesting applications. Predicting the effect that nanostructuring has on thermal conductivity requires models, such as the…

Materials Science · Physics 2021-10-19 S. Aria Hosseini , Sarah Khanniche , P. Alex Greaney , Giuseppe Romano