Phonon hydrodynamics and its applications in nanoscale heat transport

Guo, Yangyu; Wang, Moran

doi:10.1016/j.physrep.2015.07.003

Cited by 209 publications

(157 citation statements)

References 276 publications

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“…When both scattering mechanisms are present, both terms are included in the phonon Boltzmann transport equation, which is often referred to as Callaway's dual relaxation model [3]. We note that quantitative predictions of the thermal conductivity of real materials can be made by solving the phonon Boltzmann transport equation with the full scattering matrix iteratively [28] or with other numerical methods [29][30][31][32], whereas the relaxation time approximation often has the advantage of providing analytical results, which are more convenient for theoretical analyses.…”

Section: Methodsmentioning

confidence: 99%

Hydrodynamic Phonon Transport Perpendicular to Diffuse-Gray Boundaries

Yang

Yue

Liao

2018

Nanoscale and Microscale Thermophysical Engineering

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In this paper, we examine the application of an ideal phonon-hydrodynamic material as the heat transfer medium between two diffuse-gray boundaries with a finite temperature difference. We use the integral-equation approach to solve a modified phonon Boltzmann transport equation with the displaced Bose-Einstein distribution as the equilibrium distribution between two boundaries perpendicular to the heat transfer direction. When the distance between the boundaries is smaller than the phonon normal scattering mean free path, our solution converges to the ballistic limit as expected. In the other limit, we find that, although the local thermal conductivity in the bulk of the hydrodynamic material approaches infinity, the thermal boundary resistance at the interfaces becomes dominant. Our study provides insights to both the steady-state thermal characterization of phonon-hydrodynamic materials and the practical application of phonon-hydrodynamic materials for thermal management.

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Section: Methodsmentioning

confidence: 99%

Hydrodynamic Phonon Transport Perpendicular to Diffuse-Gray Boundaries

Yang

Yue

Liao

2018

Nanoscale and Microscale Thermophysical Engineering

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“…In this book chapter, we focus on the hydrodynamic phenomena of phonon transport due to strong N-scattering and do not discuss the phenomenological hydrodynamic description of quasi-ballistic phonon transport. For readers who are interested in the latter topic, a recent review article can provide a comprehensive summary [33].…”

Section: −∇Tmentioning

confidence: 99%

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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“…1(c)) and therefore the heat transport is in ballistic (free molecular) regime, which usually occurs at very low pressures and is dominated by non-Fourier effects. 27 Theoretical studies based on general heat transport laws have been performed to analyze the propagation of thermal waves in the transitional and ballistic regimes in micro-and nanostructures using phonons, [28][29][30][31][32][33][34][35][36] photons, 35,36 electrons 36 and molecules 36 as heat carriers. However, for gases, a detailed study of modulated heat propagation taking into accounts both molecular and radiation contributions deserved further analyses.…”

Section: Introductionmentioning

confidence: 99%

Diffusive-to-ballistic transition of the modulated heat transport in a rarefied air chamber

et al. 2017

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Modulated heat transfer in air subject to pressures from 760 Torr to 10-4 Torr is experimentally studied by means of a thermal-wave resonant cavity placed in a vacuum chamber. This is done through the analysis of the amplitude and phase delay of the photothermal signal as a function of the cavity length and pressure through of the Knudsen’s number. The viscous, transitional, and free molecular regimes of heat transport are observed for pressures P>1.5 Torr, 25 mTorr<P<1.5 Torr, and P<25 mTorr; respectively. It is shown that the fingerprint of each regime is determined by the concavity of the amplitude decay in a length scan, which is concave upward for the viscous regime and concave downward in the free molecular one. Furthermore, the increase of the radiative contribution on both the amplitude and phase is also observed as the pressure reduces. The obtained results show that the proposed methodology can be used to study the molecular dynamics in gases supporting diffusive and ballistic heat transport.

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Phonon hydrodynamics and its applications in nanoscale heat transport

Cited by 209 publications

References 276 publications

Hydrodynamic Phonon Transport Perpendicular to Diffuse-Gray Boundaries

Hydrodynamic Phonon Transport Perpendicular to Diffuse-Gray Boundaries

Hydrodynamic phonon transport: past, present and prospects

Diffusive-to-ballistic transition of the modulated heat transport in a rarefied air chamber

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