Heat vortex in hydrodynamic phonon transport of two-dimensional materials

We study hydrodynamic phonon heat transport in two-dimensional (2D) materials. Starting from the Peierls-Boltzmann equation with the Callaway model approximation, we derive a 2D Guyer-Krumhansl-like equation describing hydrodynamic phonon transport, taking into account the quadratic dispersion of fl...

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Bibliographic Details
Published inScientific reports Vol. 10; no. 1; p. 8272
Main Authors Shang, Man-Yu, Zhang, Chuang, Guo, Zhaoli, Lü, Jing-Tao
Format Journal Article
LanguageEnglish
Published London Nature Publishing Group UK 19.05.2020
Nature Publishing Group
Subjects
639/4077
639/766
639/925
Acoustics
Approximation
Behavior
Conductance
Energy
Fluid mechanics
Graphene
Heat
Humanities and Social Sciences
Hydrodynamics
multidisciplinary
Science
Science (multidisciplinary)
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Summary:We study hydrodynamic phonon heat transport in two-dimensional (2D) materials. Starting from the Peierls-Boltzmann equation with the Callaway model approximation, we derive a 2D Guyer-Krumhansl-like equation describing hydrodynamic phonon transport, taking into account the quadratic dispersion of flexural phonons. In addition to Poiseuille flow, second sound propagation, the equation predicts heat current vortices and negative non-local thermal conductance in 2D materials, which are common in classical fluids but have not yet been considered in phonon transport. Our results also illustrate the universal transport behaviors of hydrodynamics, independent of the type of quasi-particles and their microscopic interactions.
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ISSN:2045-2322
2045-2322
DOI:10.1038/s41598-020-65221-8