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The electrical resistivity, thermoelectric power and electronic thermal conductivity of simple (isotropic) metals are studied in a uniform way. Starting from results of a variational solution of the Boltzmann equation, a generalized…

Materials Science · Physics 2009-11-07 M. Ausloos , K. Durczewski , J. Ulner

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

A univariate polynomial equation is presented. It provides models of the thermal lattice Boltzmann equation. The models can be accurate up to any required level and can be applied to regular lattices, which allow efficient and accurate…

Mathematical Physics · Physics 2020-11-10 Jae Wan Shim

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

The lattice thermal conductivity of silicon clathrate framework Si$_{23}$ and two Zintl clathrates, [Si$_{19}$P$_{4}$]Cl$_{4}$ and Na$_{4}$[Al$_{4}$Si$_{19}$], is investigated by using an iterative solution of the linearized Boltzmann…

Materials Science · Physics 2016-08-23 Ville J. Härkönen , Antti J. Karttunen

We derive expressions for energy flow in terms of lattice normal mode coordinates and energy transmission involving reduced group velocities. With a version of Landauer formula appropriate for lattice dynamic approach, the phonon…

Statistical Mechanics · Physics 2007-05-23 Jian Wang , Jian-Sheng Wang

We present here a formulation for the calculation of the configuration averaged lattice thermal conductivity in random alloys. Our formulation is based on the augmented-space theorem, introduced by one of us, combined with a generalized…

Materials Science · Physics 2013-12-25 Aftab Alam , Abhijit Mookerjee

Accurate prediction of rock thermal conductivity under in-situ conditions is essential for characterizing subsurface heat flow. This study presents a numerical framework based on the Lattice Element Method (LEM) for simulating the effective…

Geophysics · Physics 2025-10-29 Nima Haghighat , Amir S. Sattari , Hem B. Motra , Frank Wuttke

Discovering new materials with ultrahigh thermal conductivity has been a critical research frontier and driven by many important technological applications ranging from thermal management to energy science. Here we have rigorously…

Materials Science · Physics 2021-04-19 Huan Wu , Hang Fan , Yongjie Hu

The phonon Boltzmann transport equation (BTE) is widely utilized to study non-diffusive thermal transport. We find a solution of the BTE in the thin film transient thermal grating (TTG) experimental geometry by using a recently developed…

Mesoscale and Nanoscale Physics · Physics 2016-07-15 Vazrik Chiloyan , Lingping Zeng , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen

Lattice thermal conductivity (LTC) is a critical parameter for thermal transport properties, playing a pivotal role in advancing thermoelectric materials and thermal management technologies. Traditional computational methods, such as…

Materials Science · Physics 2025-09-22 Yuxuan Zeng , Wei Cao , Yijing Zuo , Tan Peng , Yue Hou , Ling Miao , Ziyu Wang , Jing Shi

Achieving high thermoelectric performance requires efficient manipulation of thermal conductivity and a fundamental understanding of the microscopic mechanisms of phonon transport in crystalline solids. One of the major challenges in…

Materials Science · Physics 2023-05-18 Jiaoyue Yuan , Yubi Chen , Bolin Liao

First-principles prediction of lattice thermal conductivity $\kappa_L$ of strongly anharmonic crystals is a long-standing challenge in solid state physics. Making use of recent advances in information science, we propose a systematic and…

Materials Science · Physics 2015-11-17 Fei Zhou , Weston Nielson , Yi Xia , Vidvuds Ozolins

Lattice thermal conductivities of two SiO$_2$ polymorphs, i.e., $\alpha$-quartz (low) and $\alpha$-cristobalite (low), were studied using first-principles anharmonic phonon calculation and linearized phonon Boltzmann transport equation.…

Materials Science · Physics 2018-06-20 Keiyu Mizokami , Atsushi Togo , Isao Tanaka

The time-honored Allen-Feldman theory of heat transport in glasses is generally assumed to predict a finite value for the thermal conductivity, even if it neglects the anharmonic broadening of vibrational normal modes. We demonstrate that…

Disordered Systems and Neural Networks · Physics 2023-07-19 Alfredo Fiorentino , Enrico Drigo , Stefano Baroni , Paolo Pegolo

We show how temperature-induced disorder can be combined in a direct way with first-principles scattering theory to study diffusive transport in real materials. Excellent (good) agreement with experiment is found for the resistivity of Cu,…

Materials Science · Physics 2015-06-22 Yi Liu , Zhe Yuan , R. J. H. Wesselink , Anton A. Starikov , Mark van Schilfgaarde , Paul J. Kelly

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…

We present a detailed analysis of the structure dependence of the lattice thermal conductivity of SrTiO3. We have used both ab initio Molecular Dynamic simulations and Density Functional Theory calculations to decouple the effect of…

Materials Science · Physics 2020-04-01 Adolfo O. Fumega , Yuhao Fu , Victor Pardo , David J. Singh

Developing simplified, but accurate, theoretical approaches to treat heat transport on all length and time scales is needed to further enable scientific insight and technology innovation. Using a simplified form of the Boltzmann transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Jesse Maassen , Mark Lundstrom

Designing materials with targeted lattice thermal conductivity (LTC) demands electronic-level insight into chemical bonding. We introduce two bonding descriptors, namely normalized negative integrated crystal orbital Hamilton populations…

Materials Science · Physics 2025-12-12 Mohammed Al-Fahdi , Riccardo Rurali , Jianjun Hu , Christopher Wolverton , Ming Hu