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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

Here, we present the phonon calculations for thermodynamic properties, thermal expansion and lattice thermal conductivity of Fe$_{2}$VAl in the temperature range of $300-800$ K and compared with existing experiment. Phonon dispersion is…

Materials Science · Physics 2022-07-13 Shamim Sk , Sudhir K. Pandey

Thermal management is extremely important for designing high-performance devices. The lattice thermal conductivity of materials is strongly dependent on the structural defects at different length scales, particularly point defects like…

Materials Science · Physics 2021-02-24 Yandong Sun , Yanguang Zhou , Ming Hu , G. Jeffrey Snyder , Ben Xu , Wei Liu

Recently, an anisotropic Debye model [Dames et al., Physical Review B 87, 12 (2013)] was proposed for calculations of the interfacial thermal conductance and the minimum thermal conductivity of graphite-like layered materials. Despite…

Applied Physics · Physics 2018-12-13 Hongkun Li , Weidong Zheng , Yee Kan Koh

The relaxation of a spatially sinusoidal temperature perturbation in a dielectric crystal at a temperature comparable to or higher than the Debye temperature is investigated theoretically. We assume that most phonons contributing to the…

Materials Science · Physics 2011-12-12 A. A. Maznev , Jeremy A. Johnson , Keith A. Nelson

The phonon Boltzmann transport equation (BTE) is a powerful tool for studying non-diffusive thermal transport. Here, we develop a new universal variational approach to solving the BTE that enables extraction of phonon mean free path (MFP)…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Vazrik Chiloyan , Lingping Zeng , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen

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

A fundamental understanding of phonon transport in stanene is crucial to predict the thermal performance in potential stanene-based devices. By combining first-principle calculation and phonon Boltzmann transport equation, we obtain the…

Materials Science · Physics 2016-02-23 Bo Peng , Hao Zhang , Hezhu Shao , Yuchen Xu , Xiangchao Zhang , Heyuan Zhu

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 calculation of the lattice thermal conductivity of Si-Ge nanowires (NWs), based on solving the Boltzmann transport equation by the Monte Carlo method of sampling the phonon mean free paths. We augment the previous work with the…

Mesoscale and Nanoscale Physics · Physics 2016-11-15 M. Upadhyaya , Z. Aksamija

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

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

The lattice thermal conductivity of crystalline Si nanowires is calculated. The calculation uses complete phonon dispersions, and does not require any externally imposed frequency cutoffs. No adjustment to nanowire thermal conductivity…

Materials Science · Physics 2007-05-23 N. Mingo

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

Many crystals, such as lanthanum zirconate (La2Zr2O7), exhibit a flat temperature dependence of thermal conductivity at elevated temperatures. This phenomenon has recently been attributed to the inter-band phonon tunneling (or diffuson)…

Materials Science · Physics 2024-04-30 Hao Zhou , Janak Tiwari , Tianli Feng

We develop a computational framework, based on the Boltzmann transport equation, with the ability to compute the thermal transport in nanostructured materials of any geometry using as the only input the bulk thermal conductivity…

Mesoscale and Nanoscale Physics · Physics 2014-10-20 Giuseppe Romano , Jeffrey C. Grossman

Using the phonon Boltzmann transport formalism and density functional theory based calculations, we show that stanene has a low thermal conductivity. For a sample size of 1$\times$1 $\mu$m$^{2}$ ($L\times W$), the lattice thermal…

Mesoscale and Nanoscale Physics · Physics 2016-05-02 Arun S. Nissimagoudar , Aaditya Manjanath , Abhishek K. Singh

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

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

Thermal transport in the Si/SiO$_2$ multishell nanotubes is investigated theoretically. The phonon energy spectra are obtained using the atomistic Lattice Dynamics approach. Thermal conductivity is calculated using the Boltzmann transport…

Materials Science · Physics 2021-04-30 C. Isacova , A. Cocemasov , D. L. Nika , V. M. Fomin
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