Phonon Hydrodynamic Heat Conduction and Knudsen Minimum in Graphite

Ding, Zhiwei; Zhou, Jiawei; Song, Bai; Chiloyan, Vazrik; Li, Mingda; Liu, Te‐Huan; Chen, Gang

doi:10.1021/acs.nanolett.7b04932

Cited by 112 publications

(157 citation statements)

References 69 publications

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“…More recently, it has been suggested that the temperature window for phonon hydrodynamics is much wider in graphene (9) and other 2D materials (19) due to strong normal scattering involving the flexural mode. A similar prediction has been made for graphite, which exhibits a phonon dispersion resembling that of graphene due to the weakness of its interlayer van der Waals interactions (20).…”

Section: Main Textsupporting

confidence: 72%

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Observation of second sound in graphite at temperatures above 100 K

Huberman

Duncan

Chen

et al. 2019

Science

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216

193

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Wavelike thermal transport in solids, referred to as second sound, has until now been an exotic phenomenon limited to a handful of materials at low temperatures. This has restricted interest in its occurrence and in its potential applications. Through time-resolved optical measurements of thermal transport on 5-20 μm length scales in graphite, we have made direct observations of second sound at temperatures above 100 K. The results are in qualitative agreement with ab initio calculations that predict wavelike phonon hydrodynamics on ~ 1-μm length scale up to almost room temperature. The results suggest an important role of second sound in microscale transient heat transport in two-dimensional and layered materials in a wide temperature range. One Sentence Summary:Wavelike thermal transport is observed at above 100 K and predicted at even higher temperatures, suggesting prospects for unique microscale cooling kinetics in two-dimensional and layered materials.

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Section: Main Textsupporting

confidence: 72%

“…The size of the second sound window depends on the concentration of defects, such as isotopes, which contribute to umklapp scattering (6,9,20). While the second sound window in Fig.…”

Section: Main Textmentioning

confidence: 99%

Observation of second sound in graphite at temperatures above 100 K

Huberman

Duncan

Chen

et al. 2019

Science

Self Cite

216

193

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“…The peculiar dependence of thermal conductivity on temperature was observed in solid He at low temperature, verifying the existence of phonon Poiseuille flow [11]. Recently these dependences have been predicted at much higher temperature in graphene [3,51,56] and graphite [20], and experimentally observed in SrTiO3 [57].…”

Section: Iv2 Sample With An Infinite Length and A Finite Widthmentioning

confidence: 60%

Hydrodynamic phonon transport: past, present and prospects

Lee¹,

Li²

2020

Nanoscale Energy Transport

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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 importance for high thermal conductivity materials and brought a renewed attention. As the study on this topic has been inactive to some extent for several decades, we aim at providing a brief overview of the past studies as well as very recent studies. The topics we discuss in this chapter include the collective motion of phonons, several approaches to solve the Peierls-Boltzmann transport equation for hydrodynamic phonon transport, the role of normal scattering for thermal resistance, and the propagation of second sound. Then, we close this chapter with our perspectives for the future studies and the practical implication of hydrodynamic phonon transport.

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“…It remains a difficult task to include the spectral phonon properties into the lattice Boltzmann model. A semi-analytical solution of the PBE under Callaway's model has been obtained by using the integral formulation for steady-state hydrodynamic phonon transport in simple geometrical structures [17,24]. Yet it is not realistic to obtain analytical solutions of the PBE as an integro-differential equation for more general geometries.…”

Section: Introductionmentioning

confidence: 99%

Direct simulation of second sound in graphene by solving the phonon Boltzmann equation via a multiscale scheme

et al. 2019

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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 this challenge by developing a multiscale numerical scheme for the transient phonon Boltzmann equation under Callaway's dual relaxation model which captures well the collective phonon kinetics. Comparing to traditional numerical methods, the present multiscale scheme is efficient, accurate and stable in all transport regimes attributed to avoiding the use of time and spatial steps smaller than the relaxation time and mean free path of phonons. The formation, propagation and composition of ballistic pulses and second sound in graphene ribbon in two classical paradigms for experimental detection are investigated via the multiscale scheme. The second sound is declared to be mainly contributed by ZA phonon modes, whereas the ballistic pulses are mainly contributed by LA and TA phonon modes. The influence of temperature, isotope abundance and ribbon size on the second sound propagation is also explored. The speed of second sound in the observation window is found to be at most 20 percentages smaller than the theoretical value in hydrodynamic limit due to the finite umklapp, isotope and edge resistive scattering. The present study will contribute to not only the solution methodology of phonon Boltzmann equation, but also the physics of transient hydrodynamic phonon transport as guidance for future experimental detection.

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Phonon Hydrodynamic Heat Conduction and Knudsen Minimum in Graphite

Cited by 112 publications

References 69 publications

Observation of second sound in graphite at temperatures above 100 K

Observation of second sound in graphite at temperatures above 100 K

Hydrodynamic phonon transport: past, present and prospects

Direct simulation of second sound in graphene by solving the phonon Boltzmann equation via a multiscale scheme

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