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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

Over the last two decades a plethora of new thermoelectric materials, their alloys, and their nanostructures were synthesized. The ZT figure of merit, which quantifies the thermoelectric efficiency of these materials increased from values…

Materials Science · Physics 2023-07-27 Neophytos Neophytou , Pankaj Priyadarshi , Zhen Li , Patrizio Graziosi

Utilizing atomistic lattice dynamics and scattering theory, we study thermal transport in nanodevices made of 10 nm thick silicon nanowires, from 10 to 100 nm long, sandwiched between two bulk reservoirs. We find that thermal transport in…

Materials Science · Physics 2013-05-08 Ivan Duchemin , Davide Donadio

An efficient implicit kinetic scheme is developed to solve the stationary phonon Boltzmann transport equation (BTE) based on the non-gray model including the phonon dispersion and polarization. Due to the wide range of the dispersed phonon…

Computational Physics · Physics 2018-06-08 Chuang Zhang , Songze Chen , Zhaoli Guo

Surface scattering is the key limiting factor to thermal transport in dielectric crystals as the length scales are reduced or when temperature is lowered. To explain this phenomenon, it is commonly assumed that the mean free paths of heat…

Materials Science · Physics 2017-08-17 Andrea Cepellotti , Nicola Marzari

Using a full dispersion description of phonons, the thermal conductivities of bulk Si and Bi2Te3 are evaluated using a Landauer approach and related to the conventional approach based on the Boltzmann transport equation. A procedure to…

Materials Science · Physics 2010-11-18 Changwook Jeong , Supriyo Datta , Mark Lundstrom

The principal paradigm for determining the thermoelectric properties of materials is based on the Boltzmann transport equations (BTEs) or Landauer equivalent. These equations depend on the electron and phonon density of states (e-DOS and…

Computational Physics · Physics 2024-11-05 J. A. Worden , M. R. von Spakovsky , C. Hin

This paper presents a new technique for developing reduced-order models (ROMs) for nonlinear radiative transfer problems in high-energy density physics. The proper orthogonal decomposition (POD) of photon intensities is applied to obtain…

Numerical Analysis · Mathematics 2026-03-18 Joseph M. Coale , Dmitriy Y. Anistratov

We show that the local temperature dependence of thermalized electron and phonon populations along metallic carbon nanotubes is the main reason behind this non-linear transport characteristics in the high bias regime. Our model that…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. A. Kuroda , J. -P. Leburton

Heat transport in nanoscale systems is both hard to measure microscopically, and hard to interpret. Ballistic and diffusive heat flow coexist, adding confusion. This paper looks at a very simple case: a nanoscale crystal repeated…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Philip B. Allen

We determine the size effect on the lattice thermal conductivity of nanoscale wire and multilayer structures formed in and by some typical semiconductor materials, using the Boltzmann transport equation and focusing on the Knudsen flow…

Materials Science · Physics 2009-11-11 Eleni Ziambaras , Per Hyldgaard

Tuning thermal transport in nanostructured materials is a powerful approach to develop high-efficiency thermoelectric materials. Using a recently developed approach based on the phonon mean free path dependent Boltzmann transport equation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Giuseppe Romano , Jeffrey C. Grossman

The thermal conductance by phonons of a quasi-one-dimensional solid with isotope or defect scattering is studied using the Landauer formalism for thermal transport. The conductance shows a crossover from localized to Ohmic behavior, just as…

Disordered Systems and Neural Networks · Physics 2009-11-13 P. G. Murphy , J. E. Moore

Nanostructuring on length scales corresponding to phonon mean free paths provides control over heat flow in semiconductors and makes it possible to engineer their thermal properties. However, the influence of boundaries limits the validity…

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

Understanding nanoscale hotspot thermal transport is crucial in electronic devices. Contrary to common perception, recent experiments show that closely spaced nanoscale multiple hotspots can enhance heat dissipation. Here, the thermal…

Mesoscale and Nanoscale Physics · Physics 2025-11-27 Yu He , Zhihao Zhou , Lina Yang , Nuo Yang

We present BTE-Barna (Boltzmann Transport Equation - Beyond the Rta for NAnosystems), a software package that extends the Monte Carlo (MC) module of the almaBTE solver of the Peierls-Boltzmann transport equation for phonons (PBTE) to work…

Computational Physics · Physics 2022-09-14 Martí Raya-Moreno , Xavier Cartoixà , Jesús Carrete

Efficient ab initio computational methods for the calculation of thermoelectric transport properties of materials are of great avail for energy harvesting technologies. The BoltzTraP code has been largely used to efficiently calculate…

We present a formula for thermal transport in the bulk of Bose systems based on the quantum Boltzmann equation (QBE). First, starting from the quantum kinetic equation and using the Born approximation for impurity scattering, we derive the…

Mesoscale and Nanoscale Physics · Physics 2021-08-09 Kouki Nakata , Yuichi Ohnuma

We study the heat relaxation in current biased metallic films in the regime of strong electron-phonon coupling. A thermal gradient in the direction normal to the film is predicted, with a spatial temperature profile determined by the…

Mesoscale and Nanoscale Physics · Physics 2020-03-24 E. M. Baeva , N. A. Titova , A. I. Kardakova , S. U. Piatrusha , V. S. Khrapai