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The Lattice-Boltzmann method is a mesoscopic approach for solving hydrodynamic problems involving both laminar and turbulent fluids. Although the suitability for the former cases is supported by a myriad of studies, turbulent flows always…

Fluid Dynamics · Physics 2026-04-08 Raquel Dapena-García , Vicente Pérez-Muñuzuri

Simulations (e.g. Zhou et al., Phys. Rev. B 79, 115201 (2009)) show nonlocal effects of the ballistic/diffusive crossover. The local temperature has nonlinear spatial variation not contained in the local Fourier law…

Materials Science · Physics 2018-05-02 Philip B. Allen

We measure the conductivity of neutral fermions in a cubic optical lattice. Using in-situ fluorescence microscopy, we observe the alternating current resultant from a single-frequency uniform force applied by displacement of a weak harmonic…

In this paper, we extend a lattice Boltzmann equation (LBE) with continuous surface fore (CSF) to simulate thermocapillary flows. The model is designed on our previous CSF LBE for athermal two phase flow, in which the interfacial tension…

Computational Physics · Physics 2014-12-22 Lin Zheng , Song Zheng , Qinglan Zhai

Non-diffusive thermal transport has gained extensive research interest recently due to its important implications on fundamental understanding of material phonon mean free path distributions and many nanoscale energy applications. In this…

Computational Physics · Physics 2017-01-03 Lei Ma , Riguo Mei , Mengmeng Liu , Xuxin Zhao , Qixing Wu , Hongyuan Sun

This work addresses a central challenge in the numerical analysis of the cutoff spatially homogeneous Boltzmann equation: the development of rigorously justified, accurate numerical schemes. We present (i) a novel Fourier spectral method…

Numerical Analysis · Mathematics 2026-03-30 Yanzhi Gui , Ling-Bing He , Liu Liu

Spin transport properties at finite electric and magnetic fields are studied by using the generalized semiclassical Boltzmann equation. It is found that the spin diffusion equation for non-equilibrium spin density and spin currents involves…

Materials Science · Physics 2009-11-07 Y. Qi , S. Zhang

Progress in the development of coupled atomistic-continuum methods for simulations of critical dynamic material behavior has been hampered by a spurious wave reflection problem at the atomistic-continuum interface. This problem is mainly…

Materials Science · Physics 2017-12-06 Xiang Chen , Adrian Diaz , Liming Xiong , David L. McDowell , Youping Chen

We present a formula for thermal transport in the bulk of Bose systems based on the quantum Boltzmann equation (QBE). First, starting from the quantum kinetic equation and using the Born approximation for impurity scattering, we derive the…

Mesoscale and Nanoscale Physics · Physics 2021-08-09 Kouki Nakata , Yuichi Ohnuma

The Boltzmann kinetic equation is considered to compute the transport coefficients associated with the mass flux of intruders in a granular gas. Intruders and granular gas are immersed in a gas of elastic hard spheres (molecular gas). We…

Soft Condensed Matter · Physics 2025-11-07 Rubén Gómez González , Vicente Garzó

In this article, we address lattice heat transport in single-walled carbon nanotubes (CNTs) by a quantum mechanical calculation of three-phonon scattering rates in the framework of the Boltzmann transport equation (BTE) and classical…

Mesoscale and Nanoscale Physics · Physics 2020-05-06 Daniel Bruns , Alireza Nojeh , A. Srikantha Phani , Jörg Rottler

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

In this paper the Boltzmann equation describing the carrier transport in a semiconductor is considered. A modified Chapman-Enskog method is used, in order to find approximate solutions in the weakly non-homogeneous case. These solutions…

Statistical Mechanics · Physics 2007-05-23 S. F. Liotta , A. Majorana

We study the effect of the electron-phonon interaction on the finite frequency dependent electronic thermal conductivity of two dimensional graphene. We calculate it for various acoustic phonons present in graphene and characterized by…

Strongly Correlated Electrons · Physics 2017-04-07 Pankaj Bhalla

The paper discusses the fundamental behavior of the dynamical lattice thermal conductivity k(W) of bulk cubic semiconductor crystals. The calculation approach is based on solving Boltzmann-Peierls Phonon Transport Equation in the frequency…

Materials Science · Physics 2013-03-14 Younes Ezzahri , Karl Joulain

Energy-transport equations for the transport of fermions in optical lattices are formally derived from a Boltzmann transport equation with a periodic lattice potential in the diffusive limit. The limit model possesses a formal gradient-flow…

Analysis of PDEs · Mathematics 2017-04-11 Marcel Braukhoff , Ansgar Jüngel

Negative refraction of coherent phonons is crucial for thermal management and quantum information processing, but it remains unrealized because achieving the suitable dispersion for negative refraction simultaneously with long-range…

Mesoscale and Nanoscale Physics · Physics 2025-11-06 Hao Chen , Zhong-Ke Ding , Nannan Luo , Jiang Zeng , Li-Ming Tang , Ke-Qiu Chen

Understanding the thermal response of optical and acoustic phonons is crucial for designing functional polymer nanocomposites. We study silicon nanoparticle (Si NP)-epoxy composites using combined Raman and Brillouin spectroscopy under…

We have developed a first-principles method to calculate the electron-phonon coupling for specific modes and q-points in the Brillouin Zone for crystalline organic semiconductors. Using the obtained coupling strengths, we propose an…

In this paper, a diffuse-interface lattice Boltzmann method (DI-LBM) is developed for fluid-particle interaction problems. In this method, the sharp interface between the fluid and solid is replaced by a thin but nonzero thickness…

Computational Physics · Physics 2021-06-17 Jiao Liu , Changsheng Huang , Zhenhua Chai , Baochang Shi
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