Observation of second sound in a rapidly varying temperature field in Ge

Beardo, Albert; López-Suárez, Miquel; Pérez, Luis Alberto; Sendra, Lluc; Alonso, M. I.; Melis, Claudio; Bafaluy, J.; Camacho, J.; Colombo, Luciano; Rurali, Riccardo; Álvarez, F. X.; Reparaz, J. S.

doi:10.1126/sciadv.abg4677

Cited by 56 publications

(55 citation statements)

References 55 publications

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“…Skin bio-thermomechanics and bioheat transfer mechanisms also follow a non-Fourier behavior [13][14][15]. Recently, the wave-like behavior was shown experimentally in bulk Ge for temperatures between 7 K and room temperature as well as in graphite, opening a new potential applications for heat waves [16,17].…”

Section: Introductionmentioning

confidence: 99%

Bragg Mirrors for Thermal Waves

et al. 2021

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We present a numerical calculation of the heat transport in a Bragg mirror configuration made of materials that do not obey Fourier’s law of heat conduction. The Bragg mirror is made of materials that are described by the Cattaneo-Vernotte equation. By analyzing the Cattaneo-Vernotte equation’s solutions, we define the thermal wave surface impedance to design highly reflective thermal Bragg mirrors. Even for mirrors with a few layers, very high reflectance is achieved (>90%). The Bragg mirror configuration is also a system that makes evident the wave-like nature of the solution of the Cattaneo-Vernotte equation by showing frequency pass-bands that are absent if the materials obey the usual Fourier’s law.

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Section: Introductionmentioning

confidence: 99%

Bragg Mirrors for Thermal Waves

et al. 2021

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“…Second sound, or hydrodynamic phonon transfer, is observed between ballistic and diffusion regimes of heat transfer. In two-dimensional (2D) materials, second sound can be observed at temperatures above 100K [16][17][18], and for rapidly changing temperature high-frequency second sound can also be observed in three-dimensional (3D) materials at higher temperatures [19].…”

Section: Introductionmentioning

confidence: 99%

Modeling of second sound in carbon nanostructures

Savin,

Kivshar

2022

Preprint

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The study of thermal transport in low-dimensional materials has attracted a lot of attention recently after discovery of high thermal conductivity of graphene. Here we study numerically phonon transport in low-dimensional carbon structures being interested in the hydrodynamic regime revealed through the observation of second sound. We demonstrate that correct numerical modeling of such two-dimensional systems requires semi-classical molecular dynamics simulations of temperature waves that take into account quantum statistics of thermalized phonons. We reveal that second sound can be attributed to the maximum group velocity of bending optical oscillations of carbon structures, and the hydrodynamic effects disappear for T > 200K, being replaced by diffusive dynamics of thermal waves. Our numerical results suggest that the velocity of second sound in such low-dimensional structures is about 6 km/s, and the hydrodynamic effects are manifested stronger in carbon nanotubes rather than in carbon nanoribbons.

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“…As a hyperbolic equation its solutions are wave-like and it is possible to have heat 15 or temperature waves that satisfy particular dispersion relations [6,7]. 16 Several experiments have explored the non-Fourier behavior of heat transport in 17 a variety of systems, like granular media [3,8], wet sands [9], organic materials [10], layers of two different materials with different thermal properties. Even for mirrors 53 made of a few bilayers, a high reflection of the thermal waves is achieved.…”

Section: Introduction 10mentioning

confidence: 99%

Bragg Mirrors for Thermal Waves

Rosa¹,

Becerril²,

Gómez-Farfán³

et al. 2021

Preprint

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We present a numerical calculation of the heat transport in a Bragg mirror configuration made of materials that do not obey Fourier's law of heat conduction. The Bragg mirror is made of materials that are described by the Cattaneo-Vernotte equation. By analyzing the Cattaneo-Vernotte equation's solutions, we define the thermal wave surface impedance to design highly reflective thermal Bragg mirrors. Even for mirrors with a few layers, very high reflectance is achieved ($>90\%$). The Bragg mirror configuration is also a system that makes evident the wave-like nature of the solution of the Cattaneo-Vernotte equation by showing frequency pass-bands that are absent if the materials obey the usual Fourier's law.

show abstract

Observation of second sound in a rapidly varying temperature field in Ge

Cited by 56 publications

References 55 publications

Bragg Mirrors for Thermal Waves

Bragg Mirrors for Thermal Waves

Modeling of second sound in carbon nanostructures

Bragg Mirrors for Thermal Waves

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