Hydrodynamic heat transport in dielectric crystals in the collective limit and the drifting/driftless velocity conundrum

Sendra, Lluc; Beardo, Albert; Bafaluy, J.; Torres, Pol; Álvarez, F. X.; Camacho, J.

doi:10.1103/physrevb.106.155301

Cited by 6 publications

(3 citation statements)

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“…Several experimental and theoretical investigation have classified another type of second sound, named “driftless second sound”. − The driftless second sound is not a hydrodynamic transport. More recently, the driftless second sound requires a high-frequency excitation .…”

Section: Results and Discussionmentioning

confidence: 99%

Phonon Hydrodynamic Transport: Observation of Thermal Wave-Like Flow and Second Sound Propagation in Graphene at 100 K

Rezgui

2023

ACS Omega

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Several experimental and theoretical investigations confirm the failure of the classical Fourier's law in low-dimensional systems and ultrafast thermal transport. Hydrodynamic heat transport has been recently considered as a promising avenue to thermal management and phonon engineering in graphitic materials. Non-Fourier features are therefore required to describe and distinguish the hydrodynamic regime from other heat transport regimes. In this work, we provide an efficient framework for the identification of hydrodynamic heat transport and second sound propagation in graphene at 80 and 100 K. We solve both the dualphase-lag model and the Maxwell−Cattaneo−Vernotte equation based on the finite element method with ab initio data as inputs. We emphasize on the detection of thermal wave-like behavior using macroscopic quantities including the Knudsen number and second sound velocity beyond Fourier's law. We present a clear observation of the crossover phenomena from the wave-like regime to diffusive heat transport predicted in terms of mesoscopic equations. This present formalism will contribute to a clear and deeper understanding of hydrodynamic heat transport in condensed systems for future experimental detection of second sound propagation above 80 K.

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Section: Results and Discussionmentioning

confidence: 99%

Phonon Hydrodynamic Transport: Observation of Thermal Wave-Like Flow and Second Sound Propagation in Graphene at 100 K

Rezgui

2023

ACS Omega

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“…In principle, the KCM, together with appropriate macroscopic boundary conditions, could be an alternative for modeling the phonon Poiseuille flow in finite-sized graphite ribbon, which is however a nontrivial task and beyond the scope of the present study. On the other hand, the hydrodynamic model (or KCM) covers the heat transport in both kinetic 62 , 64 and collective 65 limits. Apparently the debate about the definition of the hydrodynamic regime 14 , 19 when heat transport could be described by the KCM is still open.…”

Section: Discussionmentioning

confidence: 99%

Observation of phonon Poiseuille flow in isotopically purified graphite ribbons

Huang

Guo

et al. 2023

Nat Commun

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In recent times, the unique collective transport physics of phonon hydrodynamics motivates theoreticians and experimentalists to explore it in micro- and nanoscale and at elevated temperatures. Graphitic materials have been predicted to facilitate hydrodynamic heat transport with their intrinsically strong normal scattering. However, owing to the experimental difficulties and vague theoretical understanding, the observation of phonon Poiseuille flow in graphitic systems remains challenging. In this study, based on a microscale experimental platform and the pertinent occurrence criterion in anisotropic solids, we demonstrate the existence of the phonon Poiseuille flow in a 5.5 μm-wide, suspended and isotopically purified graphite ribbon up to a temperature of 90 K. Our observation is well supported by our theoretical model based on a kinetic theory with fully first-principles inputs. Thus, this study paves the way for deeper insight into phonon hydrodynamics and cutting-edge heat manipulating applications.

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“…Based on this model, it was not only predicted that the second sound can occur in non-metallic crystals at ultra-low temperatures [3], but also helped to experimentally observe the second sound phenomenon in solid helium [14]. Recently, the G-K like equations have been derived from the Boltzmann transport equation [48,[56][57][58]. The G-K equations have been employed to investigate the drift-less second sounds in nanoscale systems [59][60][61].…”

Section: Introductionmentioning

confidence: 99%

Second sound of heat conduction in one-dimensional dielectric materials

2024

Phys. Scr.

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Although recent experiment has shown that second sound can occur in graphite above 200K, there have been no reports of second sound being observed in low-dimensional materials. In the present work, based on phonon hydrodynamics we found that second sound can occur in a single-walled carbon nanotube (SWCNT) with a length of no less than 2.1333 microns and no more than 2.1209e-4 meters for the initial temperature field with sinusoidal changes in the axial direction. The constraint conditions for relaxation times of the normal and resistive scatterings, as well as the conditions for the axial length and initial temperature distribution required for the occurrence of the second sound in dielectric nanowires are also derived from the Guyer-Krumhansl equations. For both SWCNTs and nanowires it was found that the small normal scattering relaxation time and large resistive scattering relaxation time are beneficial for the occurrence of second sound. Our results show that in comparison with two-dimensional materials, such as graphene, it is easier to experimentally excite second sound in the SWCNTs.

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Hydrodynamic heat transport in dielectric crystals in the collective limit and the drifting/driftless velocity conundrum

Cited by 6 publications

References 50 publications

Phonon Hydrodynamic Transport: Observation of Thermal Wave-Like Flow and Second Sound Propagation in Graphene at 100 K

Phonon Hydrodynamic Transport: Observation of Thermal Wave-Like Flow and Second Sound Propagation in Graphene at 100 K

Observation of phonon Poiseuille flow in isotopically purified graphite ribbons

Second sound of heat conduction in one-dimensional dielectric materials

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