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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

Starting from our previous work where we have obtained a system of coupled integro-differential equations for acoustic sound waves and phonon density fluctuations in 2D crystals, we derive here the corresponding hydrodynamic equations and…

Statistical Mechanics · Physics 2019-04-15 Pablo Scuracchio , Karl H. Michel , Francois M. Peeters

Bismuth is one of the rare materials in which second sound has been experimentally observed. Our exact calculations of thermal transport with the Boltzmann equation predict the occurrence of this Poiseuille phonon flow between $\approx$ 1.5…

Heat transport by acoustic phonons in 2D materials is fundamentally different from that in 3D crystals because the out-of-plane phonons propagate in a unique way that strongly depends on tension and bending rigidity. Since in-plane and…

Mesoscale and Nanoscale Physics · Physics 2022-04-15 H. Liu , M. Lee , M. Šiškins , H. S. J. van der Zant , P. G. Steeneken , G. J. Verbiest

A semi-implicit Lax-Wendroff kinetic scheme is developed for hydrodynamic phonon transport in solid materials based on the Boltzmann transport equation under the double relaxation time approximation, in which both the normal and resistive…

Computational Physics · Physics 2026-01-30 Shijie Li , Hong Liang , Songze Chen , Chuang Zhang

Developing simplified, but accurate, theoretical approaches to treat heat transport on all length and time scales is needed to further enable scientific insight and technology innovation. Using a simplified form of the Boltzmann transport…

Mesoscale and Nanoscale Physics · Physics 2015-06-23 Jesse Maassen , Mark Lundstrom

Understanding and quantifying the fundamental physical property of coherence of thermal excitations is a long-standing and general problem in physics. The conventional theory, i.e. the phonon gas model, fails to describe coherence and its…

Computational Physics · Physics 2022-01-11 Zhongwei Zhang , Yangyu Guo , Marc Bescond , Jie Chen , Masahiro Nomura , Sebastian Volz

A thorough understanding of the microscopic picture of heat conduction in solids is critical to a broad range of applications, from thermal management of microelectronics to more efficient thermoelectric materials. The transport properties…

Materials Science · Physics 2021-02-04 Yujie Quan , Shengying Yue , Bolin Liao

Phonon size effects induce ballistic transport in nanomaterials, challenging Fourier's law. Nondiffusive heat transport is captured by the Peierls-Boltzmann transport equation (BTE), commonly solved under the relaxation time approximation…

Mesoscale and Nanoscale Physics · Physics 2020-03-10 Giuseppe Romano

Recently, there have been increasing interests in phonon thermal transport in low dimensional materials, due to the crucial importance for dissipating and managing heat in micro and nano electronic devices. Significant progresses have been…

Mesoscale and Nanoscale Physics · Physics 2017-01-12 Xiangfan Xu , Jie Chen , Baowen Li

In this work, the heat vortexes in two-dimensional porous or ribbon structures are investigated based on the phonon Boltzmann transport equation (BTE) under the Callaway model. First, the separate thermal effects of normal (N) scattering…

Mesoscale and Nanoscale Physics · Physics 2020-09-29 Chuang Zhang , Songze Chen , Zhaoli Guo

Non-diffusive, fluid-like transport of charge and heat has been observed in several materials, raising the question of whether they can emerge simultaneously and how they are related to bi-component electron-phonon fluids. Here we introduce…

Mesoscale and Nanoscale Physics · Physics 2026-03-23 Jennifer Coulter , Bogdan Rajkov , Michele Simoncelli

Understanding the mechanisms of thermal conduction in graphene is a long-lasting research topic, due to its high thermal conductivity. Peierls-Boltzmann transport equation (PBTE) based studies have revealed many unique phonon transport…

Materials Science · Physics 2019-08-14 Xiaokun Gu , Zheyong Fan , Hua Bao , C. Y. Zhao

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

The direct simulation of the dynamics of second sound in graphitic materials remains a challenging task due to lack of methodology for solving the phonon Boltzmann equation in such a stiff hydrodynamic regime. In this work, we aim to tackle…

Computational Physics · Physics 2019-10-09 Xiao-Ping Luo , Yang-Yu Guo , Mo-Ran Wang , Hong-Liang Yi

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

Heat transport can be modelled with a variety of approaches in real space (using molecular dynamics) or in reciprocal space (using the Boltzmann transport equation). Employing two conceptually different approaches of each type, we study…

Materials Science · Physics 2025-03-19 Lukas Reicht , Lukas Legenstein , Sandro Wieser , Egbert Zojer

We study the quantum thermal transport of elastic excitations through a two-dimensional elastic waveguide between two thermal reservoirs. We solve the classical Kirchhoff-Love equation for rectangular wires and explore the dispersion…

I present a concise account concerning the emergence of a research field, which deals with the thermal properties of graphene, covering the refinement of understanding of phonon transport in two-dimensional material systems. The practical…

Mesoscale and Nanoscale Physics · Physics 2022-03-01 Alexander A. Balandin

We develop the theory of hydrodynamics of an isotropic Fermi liquid of electrons coupled to isotropic acoustic phonons, assuming that umklapp processes may be neglected. At low temperatures, the fluid is approximately Galilean invariant; at…

Strongly Correlated Electrons · Physics 2021-07-15 Xiaoyang Huang , Andrew Lucas