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We develop n-cluster mean-field theories (0 < n < 5) for calculating the flow properties of the non-equilibrium steady-states of the Katz-Lebowitz-Spohn model of the driven diffusive lattice gas, with attractive and repulsive inter-particle…

Statistical Mechanics · Physics 2009-11-07 Debashish Chowdhury , Jian-Sheng Wang

The present article proposes a diffuse interface model for compressible multicomponent flows with transport phenomena of mass, momentum and energy (i.e., mass diffusion, viscous dissipation and heat conduction). The model is reduced from…

Analysis of PDEs · Mathematics 2022-10-26 Chao Zhang , Lifeng Wang

The lattice thermal conductivity of graphene is evaluated using a microscopic model that takes into account the lattice's discrete nature and the phonon dispersion relation within the Brillouin zone. The Boltzmann transport equation is…

Soft Condensed Matter · Physics 2024-01-18 J. Chen , Y. Liu

We investigate the heat current flowing across the interface between graphene and hexagonal boron nitride (so-called white graphene) using both molecular dynamics simulation and nonequilibrium Green's function approaches. These two distinct…

Materials Science · Physics 2015-03-19 Jin-Wu Jiang , Jian-Sheng Wang

In this work, a thermodynamically consistent and conservative diffuse-interface model for gas-liquid-solid multiphase flows is proposed. In this model, a novel free energy for the gas-liquid-solid multiphase flows is established according…

Fluid Dynamics · Physics 2025-04-09 Chengjie Zhan , Xi Liu , Zhenhua Chai , Baochang Shi

Understanding the interplay between various design strategies (for instance, bonding heterogeneity and lone pair induced anharmonicity) to achieve ultralow lattice thermal conductivity ($\kappa_l$) is indispensable for discovering novel…

The Green-Kubo lattice thermal conductivity computed using the full classical heat current of a crystalline solid is compared with results obtained from the quadratic component of the heat current and from the commonly used Peierls heat…

Materials Science · Physics 2026-05-20 Andrey Pereverzev

We present a phenomenological force-constant model developed for the description of lattice dynamics of sp2 hybridized carbon networks. Within this model approach, we introduce a new set of parameters to calculate the phonon dispersion of…

Mesoscale and Nanoscale Physics · Physics 2009-11-13 J. Zimmermann , P. Pavone , G. Cuniberti

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

In this paper, a lattice Boltzmann model is proposed to simulate solid-liquid phase change phenomena in multiphase systems. The model couples the thermal properties of the solidification front with the dynamics of the liquid droplet…

Fluid Dynamics · Physics 2024-04-04 Jiangxu Huang , Lei Wang , Zhenhua Chai , Baochang Shi

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…

Understanding the mechanism of interfacial thermal transport is crucial for thermal management of electronics. Recent experiments have shown the strong impact of interfacial roughness on inelastic phonon scattering and interfacial thermal…

Mesoscale and Nanoscale Physics · Physics 2025-04-08 Jinyuan Xu , Yangyu Guo

The phonon thermal conductivity of semiconducting periodic solids can be obtained using the lattice dynamics calculations along with the Boltzmann transport equation and with input from density functional theory calculations. These…

Mesoscale and Nanoscale Physics · Physics 2025-05-30 Ankit Jain , Yagyank Srivastava , Amey G. Gokhale , Nidheesh Virakante , Hardik L. Kagdada

We develop a molecular dynamics framework to compute the mode-resolved phonon spectral density from classical correlations of an annihilation-like phonon variable. For harmonic oscillators, classical molecular dynamics exactly reproduces…

Materials Science · Physics 2026-04-22 Zezhu Zeng , Michele Simoncelli , David E. Manolopoulos

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

We show the unique reconstruction of the heat-reflection coefficients in a phonon transport equation. This is a mathematical model used to characterize the dynamics of heat-conducting phonons in multiple layers of media, commonly composed…

Analysis of PDEs · Mathematics 2021-08-10 Qin Li , Weiran Sun

New method to simulate heat transport in multiphase lattice Boltzmann (LB) method is proposed. The energy transport equation needs to be solved when phase boundaries are present. Internal energy is represented by an additional set of…

Fluid Dynamics · Physics 2018-08-29 Alexander Kupershtokh , Dmitry Medvedev , Igor Gribanov

A first-principles density functional method along with the direct solution of linearized Boltzmann transport equations are employed to systematically analyze the low-temperature thermal transport in crystalline GeTe. The extensive thermal…

Materials Science · Physics 2020-09-28 Kanka Ghosh , Andrzej Kusiak , Jean-Luc Battaglia

Various unusual behaviors of artificial materials are governed by their topological properties, among which the edge state at the boundary of a photonic or phononic lattice has been captivated as a popular notion. However, this remarkable…

Applied Physics · Physics 2025-09-11 Minghong Qi , Dong Wang , Pei-Chao Cao , Xue-Feng Zhu , Cheng-Wei Qiu , Hongsheng Chen , Ying Li

The hydrodynamic phonon transport was studied several decades ago for verifying the quantum theory of lattice thermal transport. Recent prediction of significant hydrodynamic phonon transport in graphitic materials shows its practical…

Mesoscale and Nanoscale Physics · Physics 2019-03-15 Sangyeop Lee , Xun Li
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