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Deviations from diffusive heat transport in high thermal conductivity crystalline insulators are generally understood within the framework of the phonon Boltzmann Transport Equation. However, for low thermal conductivity materials with…

Materials Science · Physics 2026-05-11 Laurenz Kremeyer , Bradley J. Siwick , Samuel Huberman

To develop effective thermal management strategies for GaN transistors, it is essential to accurately predict the device junction temperature. Since the width of the heat generation in the devices is comparable to phonon mean free paths of…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Zhi-Ke Liu , Yang Shen , Han-Ling Li , Bing-Yang Cao

Heat transport at nanoscales in semiconductors is investigated with a statistical method. The Boltzmann Transport Equation (BTE) which characterize phonons motion and interaction within the crystal lattice has been simulated with a Monte…

Classical Physics · Physics 2009-11-11 David Lacroix , Karl Joulain

Quasiballistic heat conduction, in which some phonons propagate ballistically over a thermal gradient, has recently become of intense interest. Most works report that the thermal resistance associated with nanoscale heat sources is far…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Chengyun Hua , Austin J. Minnich

Thermal conductivity in dielectric crystals is the result of the relaxation of lattice vibrations described by the phonon Boltzmann transport equation. Remarkably, an exact microscopic definition of the heat carriers and their relaxation…

Materials Science · Physics 2016-10-26 Andrea Cepellotti , Nicola Marzari

Bulk AlN possesses high thermal conductivity due to long phonon mean-free-paths, high group velocity, and long lifetimes. However, the thermal transport scenario becomes very different in a thin AlN film due to phonon-defect and…

The relaxation of a spatially sinusoidal temperature perturbation in a dielectric crystal at a temperature comparable to or higher than the Debye temperature is investigated theoretically. We assume that most phonons contributing to the…

Materials Science · Physics 2011-12-12 A. A. Maznev , Jeremy A. Johnson , Keith A. Nelson

Phonon heat transport in mesoscopic systems is investigated using methods analogous to the Landauer description of electrical conductance. A "universal heat conductance" expression that depends on the properties of the conducting pathway…

Mesoscale and Nanoscale Physics · Physics 2009-10-31 D. E. Angelescu , M. C. Cross , M. L. Roukes

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

Despite the ubiquity of applications of heat transport across nanoscale interfaces, including integrated circuits, thermoelectrics, and nanotheranostics, an accurate description of phonon transport in these systems remains elusive. Here we…

Mesoscale and Nanoscale Physics · Physics 2019-09-11 Georgios Varnavides , Adam S. Jermyn , Polina Anikeeva , Prineha Narang

Heat sources whose characteristic dimension $R$ is comparable to phonon mean free paths display thermal resistances that exceed conventional diffusive predictions. This has direct implications to (opto)electronics thermal management and…

Mesoscale and Nanoscale Physics · Physics 2018-01-17 Bjorn Vermeersch , Natalio Mingo

We show that the local temperature dependence of thermalized electron and phonon populations along metallic carbon nanotubes is the main reason behind this non-linear transport characteristics in the high bias regime. Our model that…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 M. A. Kuroda , J. -P. Leburton

We calculate the thermal conductivity of free-standing silicene using the phonon Boltzmann transport equation within the relaxation time approximation. In this calculation, we investigate the effects of sample size and different scattering…

Mesoscale and Nanoscale Physics · Physics 2018-04-18 M. Barati , T. Vazifehshenas , T. Salavati-fard , M. Farmanbar

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

We derive the continuum equations and boundary conditions governing phonon-mediated heat transfer in the limit of small but finite mean free path from asymptotic solution of the linearized Boltzmann equation in the relaxation time…

Mesoscale and Nanoscale Physics · Physics 2016-02-03 Jean-Philippe M. Péraud , Nicolas G. Hadjiconstantinou

Nanostructured semiconducting materials are promising candidates for thermoelectrics due to their potential to suppress phonon transport while preserving electrical properties. Modeling phonon-boundary scattering in complex geometries is…

Materials Science · Physics 2017-10-02 Giuseppe Romano , Alexie M. Kolpak

Transient grating spectroscopy has emerged as a useful technique to study thermal phonon transport because of its ability to perform thermal measurements over length scales comparable to phonon mean free paths (MFPs). While several prior…

Mesoscale and Nanoscale Physics · Physics 2015-08-19 Austin J. Minnich

The Boltzmann transport equation for phonons is recast directly in terms of the heat-flux by means of iteration followed by truncation at the second order in the spherical harmonic expansion of the distribution function. This procedure…

Mesoscale and Nanoscale Physics · Physics 2015-10-28 Ashok T. Ramu , John E. Bowers

Motivated by thermal conductivity experiments in spin chain compounds, we propose a phenomenological model to account for a ballistic magnetic transport coupled to a diffusive phononic one, along the line of the seminal two-temperature…

Statistical Mechanics · Physics 2021-08-04 P. Zavitsanos , X. Zotos

The phonon Boltzmann transport equation (BTE) is a powerful tool for studying non-diffusive thermal transport. Here, we develop a new universal variational approach to solving the BTE that enables extraction of phonon mean free path (MFP)…

Mesoscale and Nanoscale Physics · Physics 2016-04-13 Vazrik Chiloyan , Lingping Zeng , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen