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Understanding phonon transport across heterojunctions is important to achieve a wide range of thermal transport properties. Using the McKelvey-Shockley flux method with first-principles modeling, we theoretically investigate the phonon…

Mesoscale and Nanoscale Physics · Physics 2018-12-18 Jesse Maassen , Vahid Askarpour

We introduce a novel mesoscopic computational model based on a multiphase-multicomponent lattice Boltzmann method for the simulation of self-phoretic particles in the presence of liquid-liquid interfaces. Our model features fully resolved…

Soft Condensed Matter · Physics 2022-06-22 Lucas Palacios , Andrea Scagliarini , Ignacio Pagonabarraga

Boltzmann transport equation (BE) is a potent approach to dynamics of a photoexcited (nano)material. BE collision integrals for different relaxation channels can be systematically computed using the Kadanoff-Baym-Keldysh (KBK) formalism…

Mesoscale and Nanoscale Physics · Physics 2025-03-25 Hadassah Griffin , Andrei Kryjevski

Lattice Boltzmann schemes are efficient numerical methods to solve a broad range of problems under the form of conservation laws. However, they suffer from a chronic lack of clear theoretical foundations. In particular, the consistency…

Numerical Analysis · Mathematics 2023-05-17 Thomas Bellotti

This paper proposes a new channel estimation scheme for the multiuser massive multiple-input multiple-output (MIMO) systems in time-varying environment. We introduce a discrete Fourier transform (DFT) aided spatial-temporal basis expansion…

Information Theory · Computer Science 2016-11-01 Hongxiang Xie , Feifei Gao , Shun Zhang , Shi Jin

The Boltzmann transport equation is one of the most relevant framework to study the heat transport at the nanoscale, beyond the diffusive regime and up to the micrometer-scale. In the general case of three-dimensional devices, the particle…

Mesoscale and Nanoscale Physics · Physics 2018-12-05 B. Davier , J. Larroque , P. Dollfus , L. Chaput , S. Volz , D. Lacroix , J. Saint-Martin

We combine machine learning (ML)-based neuroevolution potentials (NEP) with anharmonic lattice dynamics and the Boltzmann transport equation (ALD-BTE) to achieve a quantitative and mode-resolved description of thermal transport in…

Mesoscale and Nanoscale Physics · Physics 2026-03-17 Feng Tao , Xiaoliang Zhang , Dawei Tang , Shigeo Maruyama , Ya Feng

We report first principles calculations of the phonon dispersions of PbTe both for its observed structure and under compression. At the experimental lattice parameter we find a near instability of the optic branch at the zone center, in…

Materials Science · Physics 2008-10-27 Jiming An , Alaska Subedi , David J. Singh

The pseudopotential model within the Lattice Boltzmann Method (LBM) framework has emerged as a prominent approach in computational fluid dynamics due to its dual strengths in physical intuitiveness and computational tractability. However,…

Fluid Dynamics · Physics 2025-09-03 Yizhong Chen , Zhibin Wang

We present a constrained density functional perturbation theory scheme for the calculation of structural and harmonic vibrational properties of insulators in the presence of an excited and thermalized electron-hole plasma. The method is…

Materials Science · Physics 2021-10-13 Giovanni Marini , Matteo Calandra

Phonon-phonon interaction is systematically studied by nonequilibrium Green's function (NEGF) formulism in momentum space at finite temperatures. Within the quasi-particle approximation, phonon frequency shift and lifetime are obtained from…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 Yong Xu , Jian-Sheng Wang , Wenhui Duan , Bing-Lin Gu , Baowen Li

In this paper, a multiple-relaxation-time (MRT) lattice Boltzmann (LB) model is proposed for convection heat transfer in porous media under local thermal non-equilibrium (LTNE) condition. The model is constructed within the framework of the…

Computational Physics · Physics 2016-10-18 Q. Liu , Y. -L. He

The temperature and volume dependences of the thermal conductivity of solid Kr(1-x)Xe(x)solution are analyzed within the model in which heat is transferred by mobile low-frequency phonons; above the phonon mobility edge this is done by…

Materials Science · Physics 2007-05-23 V. A. Konstantinov , E. S. Orel , V. P. Revyakin

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

We present a framework for quantifying the uncertainty that results from the choice of exchange-correlation (XC) functional in predictions of phonon properties and thermal conductivity that use density functional theory (DFT) to calculate…

In this work we consider the classical non-linear Boltzmann equation, where the unknown is the distribution function $f$, which depends on the time $t$, the vector $\mathbf{x}$ (the position of a molecule) and its velocity $\mathbf{\xi}$.…

Mathematical Physics · Physics 2017-11-29 Armando Majorana

Partial differential equations (p.d.e) equipped of spatial derivatives of fractional order capture anomalous transport behaviors observed in diverse fields of Science. A number of numerical methods approximate their solutions in dimension…

Computational Physics · Physics 2018-08-21 Alain Cartalade , Amina Younsi , Marie-Christine Néel

Transient cooling phenomenon in two-dimensional materials is studied based on the phonon Boltzmann transport equation (BTE). Using a heating laser pulse to heat the two-dimensional disk geometry under the environment temperature, after the…

Mesoscale and Nanoscale Physics · Physics 2024-10-10 Chuang Zhang , Lei Wu

This paper aims at developing exactly energy-conservative and structure-preserving finite volume schemes for the discretisation of first-order symmetric-hyperbolic and thermodynamically compatible (SHTC) systems of partial differential…

Numerical Analysis · Mathematics 2026-01-01 Alessia Lucca , Michael Dumbser

A semi-analytical model for studying thermal transport at the nanoscale, able to accurately describe both the effect of out of equilibrium transport and the thermal transfer at interfaces, is presented. Our approach is based on the…

Mesoscale and Nanoscale Physics · Physics 2020-06-26 B. Davier , P. Dollfus , S. Volz , J. Shiomi , J. Saint-Martin