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Based on the phonon Boltzmann transport equation under the relaxation time approximation, analytical expressions for the temperature profiles of both steady state and modulated heat conduction inside a thin film deposited on a substrate are…

Mesoscale and Nanoscale Physics · Physics 2015-09-02 Jose Ordonez-Miranda , Ronggui Yang , Sebastian Volz , J. J. Alvarado-Gil

We report computational uncertainties in Boltzmann Transport Equation (BTE)-based lattice thermal conductivity prediction of 50 diverse semiconductors from the use of different BTE solvers (ShengBTE, Phono3Py, and in-house code) and…

Materials Science · Physics 2025-09-19 Yagyank Srivastava , Amey G. Gokhale , Ankit Jain

Cross-plane heat transport in thin films with thickness comparable to the phonon mean free paths is of both fundamental and practical interest. However, physical insight is difficult to obtain for the cross-plane geometry due to the…

Mesoscale and Nanoscale Physics · Physics 2014-10-13 Chengyun Hua , Austin J. Minnich

The lattice Boltzmann method (LBM) is a numerical approach to tackle problems described by a Boltzmann type-equation, where time, space, and velocities are discretized to describe scattering and advection. Even though the LBM executes…

Computational Physics · Physics 2020-09-10 René Hammer , Verena Fritz , Natalia Bedoya-Martínez

Nearly all experimental observations of quasi-ballistic heat flow are interpreted using Fourier theory with modified thermal conductivity. Detailed Boltzmann transport equation (BTE) analysis, however, reveals that the quasi-ballistic…

Materials Science · Physics 2015-02-13 Bjorn Vermeersch , Amr M. S. Mohammed , Gilles Pernot , Yee Rui Koh , Ali Shakouri

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 work, a lattice Boltzmann scheme is developed for numerical solution of the phonon Boltzmann equation under Callaway's dual relaxation model in the hydrodynamic limit. Through a Chapman-Enskog expansion to the lattice Boltzmann…

Computational Physics · Physics 2020-10-06 Yangyu Guo , Moran Wang

Phonon surface scattering has been at the core of heat transport engineering in nanoscale structures and devices. Herein, we demonstrate that this phonon pathway can be the sole mechanism only below a characteristic, size-dependent…

This paper presents an immersed boundary (IB) method for fluid--structure--acoustics interactions involving large deformations and complex geometries. In this method, the fluid dynamics is solved by a finite difference method where the…

Fluid Dynamics · Physics 2020-05-20 Li Wang , Fang-Bao Tian , Joseph C. S. Lai

The primitive Wigner-Seitz cell and corresponding first Brillouin zone (FBZ) are typically used in calculations of lattice vibrational and transport properties as they contain the smallest number of degrees of freedom and thus have the…

Materials Science · Physics 2024-02-27 Xun Li , Simon Thebaud , Lucas Lindsay

We present the detailed analysis of the diffusive transport of spatially inhomogeneous fluid mixtures and the interplay between structural and dynamical properties varying on the atomic scale. The present treatment is based on different…

Mesoscale and Nanoscale Physics · Physics 2011-05-19 Umberto Marini Bettolo Marconi , Simone Melchionna

We propose a Fokker-Planck equation (FPE) theory to describe stochastic fluctuation and relaxation processes of lattice vibration at a wide range of conditions, including those beyond the phonon gas (PG) limit. Using the time-dependent,…

Statistical Mechanics · Physics 2019-01-30 Yi Zeng , Jianjun Dong

This paper introduces JAX-BTE, a GPU-accelerated, differentiable solver for the phonon Boltzmann Transport Equation (BTE) based on differentiable programming. JAX-BTE enables accurate, efficient and differentiable multiscale thermal…

Computational Physics · Physics 2025-04-02 Wenjie Shang , Jiahang Zhou , J. P. Panda , Zhihao Xu , Yi Liu , Pan Du , Jian-Xun Wang , Tengfei Luo

The occurrence of thermal transport phenomena is widespread, exerting a pivotal influence on the functionality of diverse electronic and thermo-electric energy-conversion devices. The traditional first-principles theory governing the…

Materials Science · Physics 2026-05-20 Soham Mandal , Manish Jain , Prabal K. Maiti

Accurate models of carrier transport are essential for describing the electronic properties of semiconductor materials. To the best of our knowledge, the current models following the framework of the Boltzmann transport equation (BTE)…

Materials Science · Physics 2015-06-17 Alireza Faghaninia , Joel W. Ager , Cynthia S. Lo

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

The transport of a passive scalar restricted on interfaces, which is advected by the fluid motions have numerous applications in multiphase transport phenomena. A prototypical example is the advection-diffusion of the concentration field of…

Fluid Dynamics · Physics 2025-04-15 William Schupbach , Kannan Premnath

Interfaces impede heat flow in micro/nanostructured systems. Conventional theories for interfacial thermal transport were derived based on bulk phonon properties of the materials making up the interface without explicitly considering the…

Efficiently capturing the three-dimensional spatiotemporal distributions of temperature is of great significance for alleviating hotspot issues in 3D FinFETs. However, most previous thermal simulations mainly focused on the steady-state…

Mesoscale and Nanoscale Physics · Physics 2025-01-14 Chuang Zhang , Ziyang Xin , Qin Lou , Hong Liang

Boiling is a complex phenomenon where different non-linear physical interactions take place and for which the quantitative modeling of the mechanism involved is not fully developed yet. In the last years, many works have been published…

Fluid Dynamics · Physics 2022-05-23 Alfredo Jaramillo , Vinícius Pessoa Mapelli , Luben Cabezas-Gómez
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