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The predictive modeling of lattice thermal conductivity is of fundamental importance for the understanding and design of materials for a wide range of applications. Two major approaches, namely molecular dynamics (MD) simulations and…

Materials Science · Physics 2019-08-14 Marcello Puligheddu , Yi Xia , Maria K. Y. Chan , Giulia Galli

Ultrafast thermal transport in low-dimensional materials challenges traditional diffusive models due to reduced scattering, strong electron-phonon coupling, and pronounced non-equilibrium effects. To address these complexities, we extend…

Mesoscale and Nanoscale Physics · Physics 2025-12-01 Houssem Rezgui , Chuang Zhang , Clivia Sotomayor-Torres

Thermal conductivity in dielectric crystals is the result of the relaxation of lattice vibrations described by the phonon Boltzmann transport equation. Remarkably, an exact microscopic definition of the heat carriers and their relaxation…

Materials Science · Physics 2016-10-26 Andrea Cepellotti , Nicola Marzari

Predicting nanoscale thermal transport in dielectrics requires models, such as the Boltzmann transport equation (BTE), that account for phonon boundary scattering in structures with complex geometries. Although the BTE has been validated…

Materials Science · Physics 2023-08-03 S. Aria Hosseini , Alex Greaney , Giuseppe Romano

We study heat transport in semiconductor nanostructures by solving the Boltzmann Transport Equation (BTE) by means of the Discrete Ordinate Method (DOM). Relaxation time and phase and group velocitiy spectral dependencies are taken into…

Classical Physics · Physics 2009-11-13 Damian Terris , Karl Joulain , David Lacroix , Denis Lemonnier

A semi-analytical model for studying thermal transport at the nanoscale, able to accurately describe both the effect of out of equilibrium transport and the thermal transfer at interfaces, is presented. Our approach is based on the…

Mesoscale and Nanoscale Physics · Physics 2020-06-26 B. Davier , P. Dollfus , S. Volz , J. Shiomi , J. Saint-Martin

A Full Band Monte Carlo simulator has been developed to consider phonon transmission across interfaces that are perpendicular to the heat flux. This solver of the Boltzmann transport equation which does not require any assumption on the…

Applied Physics · Physics 2022-05-06 N. D. Le , B. Davier , N. Izitounene , P. Dollfus , J. Saint-Martin

In this study, we use the transient thermal grating optical technique \textemdash a non-contact, laser-based thermal metrology technique with intrinsically high accuracy \textemdash to investigate room-temperature phonon-mediated thermal…

The lattice thermal conductivity (LTC) of ZrSe$_2$, a typical layered transition metal disulfide, has been calculated using a hybrid approach that combines force field molecular dynamics (MD) simulation and Boltzmann transport equation…

Materials Science · Physics 2025-09-10 Yong Lu , Fawei Zheng

New method to simulate heat transport in multiphase lattice Boltzmann (LB) method is proposed. The energy transport equation needs to be solved when phase boundaries are present. Internal energy is represented by an additional set of…

Fluid Dynamics · Physics 2018-08-29 Alexander Kupershtokh , Dmitry Medvedev , Igor Gribanov

Silicon-germanium heterojunction bipolar transistors (HBTs) are of interest as low-noise microwave amplifiers due to their competitive noise performance and low cost relative to III-V devices. The fundamental noise performance limits of…

Mesoscale and Nanoscale Physics · Physics 2022-01-24 Nachiket R. Naik , Austin J. Minnich

We study thermal conductivity for one-dimensional electronic fluid. The many-body Hilbert space is partitioned into bosonic and fermionic sectors that carry the thermal current in parallel. For times shorter than bosonic Umklapp time, the…

Strongly Correlated Electrons · Physics 2019-05-23 R. Samanta , I. V. Protopopov , A. D. Mirlin , D. B. Gutman

The theory of heat transfer by electromagnetic radiation is based on the radiative transfer equation (RTE) for the radiation intensity, or equivalently on the Boltzmann transport equation (BTE) for the photon distribution. We focus in this…

Statistical Mechanics · Physics 2010-09-17 Thomas Christen , Frank Kassubek , Rudolf Gati

We use the Boltzmann transport theory in the relaxation time approximation to describe the thermal transport of spin waves in a ferromagnet. By treating spin waves as magnon excitations we are able to compute analytically and numerically…

Materials Science · Physics 2018-09-05 Vittorio Basso , Elena Ferraro , Marco Piazzi

Transient heat dissipation in close-packed quasi-2D nanoline and 3D nanocuboid hotspot systems is studied based on phonon Boltzmann transport equation. It is found that, counter-intuitively, the heat dissipation efficiency is not a…

Mesoscale and Nanoscale Physics · Physics 2022-07-20 Chuang Zhang , Lei Wu

For low density gases the validity of the Boltzmann transport equation is well established. The central object is the one-particle distribution function, $f$, which in the Boltzmann-Grad limit satisfies the Boltzmann equation. Grad and,…

Mathematical Physics · Physics 2009-11-11 Herbert Spohn

Thermal transport in a quasi-ballistic regime is determined not only by the local temperature $T(r)$, or its gradient $\nabla T(r)$, but also by temperature distribution at neighboring points. For an accurate description of non-local…

Mesoscale and Nanoscale Physics · Physics 2022-06-15 Ali Kefayati , Philip B. Allen , Vasili Perebeinos

The Boltzmann transport equation for phonons is recast directly in terms of the heat-flux by means of iteration followed by truncation at the second order in the spherical harmonic expansion of the distribution function. This procedure…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Ashok T. Ramu , John E. Bowers

The high breakdown current densities and resilience to scaling of the metallic transition metal trichalcogenides TaSe3 and ZrTe3 make them of interest for possible interconnect applications, and it motivates this study of their thermal…

Materials Science · Physics 2021-04-07 Topojit Debnath , Bishwajit Debnath , Roger K. Lake

Quantum-confined semiconductor structures are the cornerstone of modern-day electronics. Spatial confinement in these structures leads to formation of discrete low-dimensional subbands. At room temperature, carriers transfer among different…

Mesoscale and Nanoscale Physics · Physics 2009-08-14 I. Knezevic , E. B. Ramayya , D. Vasileska , S. M. Goodnick