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We investigate the features arising from hydrodynamic effects in graphene and phosphorene devices with finite heat sources, using ab initio calculations to go beyond Callaway's model and inform a full linearized scattering operator, and…

Mesoscale and Nanoscale Physics · Physics 2022-07-21 Martí Raya-Moreno , Jesús Carrete , Xavier Cartoixà

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

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

The Chapman-Enskog method is generalized for accounting the effect of kinetic modes on hydrodynamic evolution. Hydrodynamic states of phonon system of insulators have been studied in a small drift velocity approximation. For simplicity, the…

Statistical Mechanics · Physics 2012-12-27 S. A. Sokolovsky

Unlike classical heat diffusion at the macroscale, nanoscale heat transport can occur without energy dissipation because phonons can travel in straight lines for hundreds of nanometres. Despite recent experimental evidence of such ballistic…

Mesoscale and Nanoscale Physics · Physics 2017-05-22 Roman Anufriev , Aymeric Ramiere , Jeremie Maire , Masahiro Nomura

Phonon Boltzmann transport equation (BTE) is an important tool for studying the nanoscale thermal transport. Because phonons have a large spread in their properties, the non-gray (i.e. considering different phonon bands) phonon BTE is…

Computational Physics · Physics 2021-09-29 Yue Hu , Yongxing Shen , Hua Bao

A fundamental understanding of the phonon transport mechanism is important for optimizing the efficiency of thermoelectric devices. In this study, we investigate the thermal transport properties of the oxidized form of phosphorene called…

Materials Science · Physics 2019-05-21 Seungjun Lee , Seoung-Hun Kang , Young-Kyun Kwon

The phonon Boltzmann transport equation (BTE) is widely utilized to study non-diffusive thermal transport. We find a solution of the BTE in the thin film transient thermal grating (TTG) experimental geometry by using a recently developed…

Mesoscale and Nanoscale Physics · Physics 2016-07-15 Vazrik Chiloyan , Lingping Zeng , Samuel Huberman , Alexei A. Maznev , Keith A. Nelson , Gang Chen

We study ballistic interfacial thermal transport across atomic junctions. Exact expressions for phonon transmission coefficients are derived for thermal transport in one-junction and two-junction chains, and verified by numerical…

Materials Science · Physics 2011-03-02 Lifa Zhang , Pawel Keblinski , Jian-Sheng Wang , Baowen Li

In this paper, a finite-volume discrete unified gas kinetic scheme (DUGKS) based on the non-gray phonon transport model is developed for multiscale heat transfer problem with arbitrary temperature difference. Under large temperature…

Computational Physics · Physics 2018-10-24 Chuang Zhang , 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

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…

Hydrodynamic second sound can be generated by heat pulses when the phonon-phonon interaction is dominantly momentum conserving, and the propagation of the temperature field becomes wavelike rather than diffusive. While the Boltzmann…

Materials Science · Physics 2025-01-08 Xin Qian , Chuang Zhang , Te-Huan Liu , Ronggui Yang

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

Ballistic phonon effects, arising on length scales comparable to the mean-free-path, result in non-diffusive heat flow and alter the thermal properties of materials. Simple theoretical models that accurately capture non-diffusive transport…

Mesoscale and Nanoscale Physics · Physics 2017-06-28 Daniel Abarbanel , Jesse Maassen

Interfaces play an essential role in phonon-mediated heat conduction in solids, impacting applications ranging from thermoelectric waste heat recovery to heat dissipation in electronics. From the microscopic perspective, interfacial phonon…

Mesoscale and Nanoscale Physics · Physics 2017-05-24 Chengyun Hua , Xiangwen Chen , Navaneetha K. Ravichandran , Austin J. Minnich

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 occurrence of thermal transport phenomena is widespread, exerting a pivotal influence on the functionality of diverse electronic and thermo-electric energy-conversion devices. The traditional first-principles theory governing the…

Materials Science · Physics 2026-05-20 Soham Mandal , Manish Jain , Prabal K. Maiti

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

Numerical prediction of multiscale heat transfer is a challenging problem due to the wide range of time and length scales involved. In this work a discrete unified gas kinetic scheme (DUGKS) is developed for heat transfer in materials with…

Computational Physics · Physics 2016-02-05 Zhaoli Guo , Kun Xu