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We show that by integrating out the electric field and incorporating proper boundary conditions, a semiclassical Boltzmann equation can describe electron transport properties, continuously from the diffusive to ballistic regimes. General…

Mesoscale and Nanoscale Physics · Physics 2016-08-25 H. Geng , W. Y. Deng , Y. J. Ren , L. Sheng , D. Y. Xing

Controlling heat flow at the nanoscales is pivotal to several applications, including thermal energy harvesting and heat management. However, engineering nanostructures is challenging because phonon-boundary interaction, not contemplated by…

Materials Science · Physics 2021-06-08 Giuseppe Romano

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

By coupling the asymmetric three-terminal mesoscopic dielectric system with a temperature probe, at low temperature, the ballistic heat flux flow through the other two asymmetric terminals in the nonlinear response regime is studied based…

Mesoscale and Nanoscale Physics · Physics 2010-10-27 Yi Ming , Zhe Xian Wang , Ze Jun Ding , Hui Min Li

An efficient implicit kinetic scheme is developed to solve the stationary phonon Boltzmann transport equation (BTE) based on the non-gray model including the phonon dispersion and polarization. Due to the wide range of the dispersed phonon…

Computational Physics · Physics 2018-06-08 Chuang Zhang , Songze Chen , Zhaoli Guo

The electron-phonon coupling in ultrafast heating systems is studied within the framework of Boltzmann transport equation (BTE) with coupled electron and phonon transport. A discrete unified gas kinetic scheme is developed to solve the BTE,…

Mesoscale and Nanoscale Physics · Physics 2023-08-25 Chuang Zhang , Rulei Guo , Meng Lian , Junichiro Shiomi

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

Nanostructured materials enable high thermal transport tunability, holding promises for thermal management and heat harvesting applications. Predicting the effect that nanostructuring has on thermal conductivity requires models, such as the…

Materials Science · Physics 2021-10-19 S. Aria Hosseini , Sarah Khanniche , P. Alex Greaney , Giuseppe Romano

Semiconductor alloys exhibit a strong dependence of effective thermal conductivity on measurement frequency. So far this quasi-ballistic behaviour has only been interpreted phenomenologically, providing limited insight into the underlying…

Materials Science · Physics 2015-02-13 Bjorn Vermeersch , Jesus Carrete , Natalio Mingo , Ali Shakouri

The simulation of non-equilibrium electron distributions is essential for capturing light-metal interactions and therefore the study of photoabsorption, photocatalysis, laser ablation, and many other phenomena. Current methodologies, such…

Materials Science · Physics 2025-03-13 M. Uehlein , H. T. Snowden , C. Seibel , T. Held , S. T. Weber , R. J. Maurer , B. Rethfeld

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

Previous studies have predicted the failure of Fourier's law of thermal conduction due to the existence of wave like propagation of heat with finite propagation speed. This non-Fourier thermal transport phenomenon can appear in both the…

Mesoscale and Nanoscale Physics · Physics 2021-08-05 Chuang Zhang , Zhaoli Guo

In this paper, a finite-volume discrete unified gas kinetic scheme (DUGKS) based on the non-gray phonon transport model is developed for multiscale heat transfer problem with arbitrary temperature difference. Under large temperature…

Computational Physics · Physics 2018-10-24 Chuang Zhang , Zhaoli Guo

Time-dependent Bose-Einstein condensate (BEC) formation in ultracold atoms is investigated in a nonlinear diffusion model. For constant transport coefficients, the model has been solved analytically. Here, we extend it to include…

Quantum Gases · Physics 2024-08-15 M. Larsson , G. Wolschin

In this book chapter we provide the definition of "Simulating Nanoscale Heat Transport", broadly regarded as modeling heat conduction beyond Fourier's law. We primarely focus on incoherent transport, which is dominated by scattering between…

Materials Science · Physics 2015-06-22 Giuseppe Romano , Jean-Philippe Peraud , Jeffrey C. Grossman

Advances in nanotechnology have facilitated the exploration of submicron thermal transport. At this scale, Fourier's law is no longer applicable, and the governing equation for thermal transport is the phonon Boltzmann transport equation…

Mesoscale and Nanoscale Physics · Physics 2023-06-27 Yue Hu , Ru Jia , Jiaxuan Xu , Yufei Sheng , Minhua Wen , James Lin , Yongxing Shen , Hua Bao

We introduce a methodology for density-based topology optimization of non-Fourier thermal transport in nanostructures, based upon adjoint-based sensitivity analysis of the phonon Boltzmann transport equation (BTE) and a novel material…

Mesoscale and Nanoscale Physics · Physics 2022-10-10 Giuseppe Romano , Steven G. Johnson

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

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

Phonon heat conduction over length scales comparable to their mean free paths is a topic of considerable interest for basic science and thermal management technologies. Although the failure of Fourier's law beyond the diffusive regime is…

Materials Science · Physics 2019-08-28 Chengyun Hua , Lucas Lindsay , Xiangwen Chen , Austin Minnich