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We propose an extension to the original result derived by Simoncelli et al. (https://doi.org/10.1038/s41567-019-0520-x) to encompass the effects of a space and time dependent heat source. Via a Fourier Transfrom, we obtain closed form…

Mesoscale and Nanoscale Physics · Physics 2021-11-17 Samuel Huberman

The thermal conductivity of several diamond-like materials is calculated from a kinetic-collective model. From this approach, a thermal conductivity expression is obtained that includes a transition from a kinetic (free) to a collective…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 C. de Tomas , A. Cantarero , A. F. Lopeandia , F. X. Alvarez

In this study, we systematically investigate the thermal and electronic transport properties of two-dimensional PbSe/PbTe monolayer heterostructure by combining first-principles calculations, Boltzmann transport theory, and machine learning…

Materials Science · Physics 2026-02-27 Ruihao Tan , Kaiwang Zhang , Yue-Wen Fang

While using first-principles-based Boltzmann transport equation approach to predict the thermal conductivity of crystalline semiconductor materials has been a routine, the validity of the approach is seldom tested for high-temperature…

Mesoscale and Nanoscale Physics · Physics 2020-03-05 Xiaokun Gu , Shouhang Li , Hua Bao

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

An analytical model of unsteady heat transfer in a one-dimensional harmonic crystal is presented. A nonlocal temperature is introduced as a generalization of the kinetic temperature. A closed equation determining unsteady thermal processes…

Statistical Mechanics · Physics 2015-11-25 Anton M. Krivtsov

We present a first-principles theoretical approach for evaluating the lattice thermal conductivity based on the exact solution of the Boltzmann transport equation. We use the variational principle and the conjugate gradient scheme, which…

Materials Science · Physics 2014-06-24 Giorgia Fugallo , Michele Lazzeri , Lorenzo Paulatto , Francesco Mauri

The inelastic nature of 3-phonon processes is investigated within the framework of perturbation theory and linearized Boltzmann Transport Equation. By considering the energy conservation rule governing this type of interactions in a…

Materials Science · Physics 2017-09-07 Ahmed Hamed , Anter El-Azab

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

We consider phononic heat transport through molecular chains connecting two thermal reservoirs. For relatively short molecules at normal temperatures heat conduction is dominated by the harmonic part of the molecular force-field. We develop…

Chemical Physics · Physics 2009-11-10 Dvira Segal , Abraham Nitzan , Peter Hanggi

Although extensive experimental and theoretical works have been conducted to understand the ballistic and diffusive phonon transport in nanomaterials recently, direct observation of temperature and thermal nonequilibrium of different phonon…

Mesoscale and Nanoscale Physics · Physics 2017-05-17 Tianli Feng , Wenjun Yao , Zuyuan Wang , Jingjing Shi , Chuang Li , Bingyang Cao , Xiulin Ruan

Understanding the fundamental link between structure and functionalization is crucial for the design and optimization of functional materials, since different structural configurations could trigger materials to demonstrate diverse…

Materials Science · Physics 2024-01-30 Linfeng Yu , Kexin Dong , Qi Yang , Yi Zhang , Xiong Zheng , Huimin Wang , Zhenzhen Qin , Guangzhao Qin

We have combined the Boltzmann transport equation with an {\it ab initio} approach to compute the thermoelectric coefficients of semiconductors. Electron-phonon, ionized impurity, and electron-plasmon scattering rates have been taken into…

Materials Science · Physics 2018-10-26 Z. Wang , S. Wang , S. Obukhov , N. Vast , J. Sjakste , V. Tyuterev , N. Mingo

First-principles calculations of thermal transport in homogeneous materials have reached remarkable predicting power. Modeling deterministically phonon transport in nanostructures, however, poses novel challenges; notably, it entails…

Materials Science · Physics 2021-06-08 Giuseppe Romano

The understanding and modeling of inelastic scattering of thermal phonons at a solid/solid interface remain an open question. We present a fully quantum theoretical scheme to quantify the effect of anharmonic phonon-phonon scattering at an…

Mesoscale and Nanoscale Physics · Physics 2021-05-26 Yangyu Guo , Zhongwei Zhang , Marc Bescond , Shiyun Xiong , Masahiro Nomura , Sebastian Volz

We report a numerical investigation on the heat transfer through one dimensional arrays of metallic nanoparticles closely spaced in a host material. Our simulations show that the multipolar interactions play a crucial role in the heat…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Philippe Ben-Abdallah , Karl Joulain , Jérémie Drevillon , Clément Le Goff

Metallic transition-metal nitrides (TMNs) are promising conductive ceramics for many applications, whose thermal transport is of great importance in device design. It is found metallic TiN and HfN hold anomalous thermal transport behaviors…

Materials Science · Physics 2020-06-30 Shouhang Li , Ao Wang , Yue Hu , Xiaokun Gu , Zhen Tong , Hua Bao

We report the discovery of temperature-invariant ultralow thermal conductivity ($\kappa$) in monolayer $\beta'$-In$_2$Se$_3$, a two-dimensional ferroelectric crystal with in-plane polarization. Using a combination of generalized Wigner…

Materials Science · Physics 2025-01-24 Wenjie Zhou , Shi Liu

The effect on the vibrational and thermal properties of gradually interconnected nanoinclusions embedded in an amorphous silicon matrix is studied using MD simulations. The nanoinclusion arrangement ranges from an aligned sphere array to an…

Mesoscale and Nanoscale Physics · Physics 2021-05-10 Paul Desmarchelier , Alice Carré , Konstantinos Termentzidis , Anne Tanguy

MCBTE solves the linearized Boltzmann transport equation for phonons in three dimensions using a variance-reduced Monte Carlo solution approach. The algorithm is suited for both transient and steady-state analysis of thermal transport in…

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