Hydrodynamic heat transport regime in bismuth: a theoretical viewpoint

Abstract

Bismuth is one of the rare materials in which second sound has been experimentally observed. Our exact calculations of thermal transport with the Boltzmann equation predict the occurrence of this Poiseuille phonon flow between $\approx$ 1.5 K and $\approx$ 3.5 K, in sample size of 3.86 mm and 9.06 mm, in consistency with the experimental observations. Hydrodynamic heat flow characteristics are given for any temperature: heat wave propagation length, drift velocity, Knudsen number. We discuss a Gedanken-experiment allowing to assess the presence of a hydrodynamic regime in any bulk material.

arXiv commentPaper accepted for publication in Phys. Rev. Letters

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Cited by in corpus (5)

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• Phonon hydrodynamics in crystalline materials
• Phonon hydrodynamics in crystalline GeTe at low temperature
• Effect of characteristic size on the collective phonon transport in crystalline GeTe
• Lattice Boltzmann scheme for hydrodynamic equation of phonon transport