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Understanding ballistic phonon transport effects in transient thermoreflectance experiments and explaining the observed deviations from classical theory remains a challenge. Diffusion equations are simple and computationally efficient but…

Mesoscale and Nanoscale Physics · Physics 2016-03-23 Jesse Maassen , Mark Lundstrom

We study hydrodynamic phonon heat transport in two-dimensional (2D) materials. Starting from the Peierls-Boltzmann equation within the Callaway model, we derive a 2D Guyer-Krumhansl-like equation describing non-local hydrodynamic phonon…

Mesoscale and Nanoscale Physics · Physics 2019-03-13 Man-Yu Shang , Jing-Tao Lü

Tuning thermal transport in nanostructured materials is a powerful approach to develop high-efficiency thermoelectric materials. Using a recently developed approach based on the phonon mean free path dependent Boltzmann transport equation,…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Giuseppe Romano , Jeffrey C. Grossman

We develop a computational framework, based on the Boltzmann transport equation, with the ability to compute the thermal transport in nanostructured materials of any geometry using as the only input the bulk thermal conductivity…

Mesoscale and Nanoscale Physics · Physics 2014-10-20 Giuseppe Romano , Jeffrey C. Grossman

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

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

The ab initio model for heat propagation is the phonon transport equation, a Boltzmann-like kinetic equation. When two materials are put side by side, the heat that propagates from one material to the other experiences thermal boundary…

Numerical Analysis · Mathematics 2025-10-13 Irene M Gamba , Qin Li , Anjali Nair

In the hydrodynamic regime, phonons drift with a nonzero collective velocity under a temperature gradient, reminiscent of viscous gas and fluid flow. The study of hydrodynamic phonon transport has spanned over half a century but has been…

Materials Science · Physics 2018-02-05 Zhiwei Ding , Jiawei Zhou , Bai Song , Vazrik Chiloyan , Mingda Li , Te-Huan Liu , Gang Chen

Steady-state thermal transport in nanostructures with dimensions comparable to the phonon mean-free-path is examined. Both the case of contacts at different temperatures with no internal heat generation and contacts at the same temperature…

Mesoscale and Nanoscale Physics · Physics 2017-03-08 Jan Kaiser , Tianli Feng , Jesse Maassen , Xufeng Wang , Xiulin Ruan , Mark Lundstrom

It is generally understood that Fourier's law does not describe ballistic phonon transport, which is important when the length of a material is similar to the phonon mean-free-path. Using an approach adapted from electron transport, we…

Mesoscale and Nanoscale Physics · Physics 2015-06-22 Jesse Maassen , Mark Lundstrom

Engineering phonon transport in physical systems is a subject of interest in the study of materials and plays a crucial role in controlling energy and heat transfer. Of particular interest are non-reciprocal phononic systems, which in…

Mesoscale and Nanoscale Physics · Physics 2018-03-28 Alireza Seif , Wade DeGottardi , Keivan Esfarjani , Mohammad Hafezi

Hydrodynamic phonon transport was recently predicted as an important regime for phonon transport in graphitic materials. Many of past studies on hydrodynamic phonon transport have focused on the cases where the hydrodynamic regime…

Mesoscale and Nanoscale Physics · Physics 2019-02-18 Xun Li , Sangyeop Lee

We consider a linear phonon Boltzmann equation with a reflecting/transmitting/absorbing interface. This equation appears as the Boltzmann-Grad limit for the energy density function of a harmonic chain of oscillators with inter-particle…

Mathematical Physics · Physics 2019-03-08 Giada Basile , Tomasz Komorowski , Stefano Olla

The propagation of a heat pulse in a single crystal and across grain boundaries (GBs) is simulated using a concurrent atomistic-continuum method furnished with a coherent phonon pulse model. With a heat pulse constructed based on a…

Mesoscale and Nanoscale Physics · Physics 2017-08-11 Xiang Chen , Weixuan Li , Liming Xiong , Yang Li , Shengfeng Yang , Zexi Zheng , David L. McDowell , Youping Chen

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

Phonon hydrodynamics is an exotic phonon transport phenomenon that challenges the conventional understanding of diffusive phonon scattering in crystalline solids. It features a peculiar collective motion of phonons with various…

Materials Science · Physics 2022-05-24 Kanka Ghosh , Andrzej Kusiak , Jean-Luc Battaglia

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

Boundary-engineering in nanostructures has the potential to dramatically impact the development of materials for high-efficiency conversion of thermal energy directly into electricity. In particular, nanostructuring of semiconductors can…

Materials Science · Physics 2016-10-04 Giuseppe Romano , Alexie M. Kolpak

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

Nanostructured materials exhibit low thermal conductivity because of the additional scattering due to phonon-boundary interactions. As these interactions are highly sensitive to the mean free path (MFP) of a given phonon mode, MFP…

Materials Science · Physics 2016-01-13 Giuseppe Romano , Keivan Esfarjani , David A. Strubbe , David Broido , Alexie M. Kolpak
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