Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube
Abstract
Here, two hydrodynamic features of phonon transport, phonon drift and second sound, in a (20,20) single wall carbon nanotube (SWCNT) are discussed using lattice dynamics calculations employing an optimized Tersoff potential for atomic interactions. We formally derive a formula for the contribution of drift motion of phonons to total heat flux at steady state. It is found that the drift motion of phonons carry more than 70% and 90% of heat at 300 K and 100 K, respectively, indicating that phonon flow can be reasonably approximated as hydrodynamic if the SWCNT is long enough to avoid ballistic phonon transport. The dispersion relation of second sound is derived from the Peierls-Boltzmann transport equation with Callaway s scattering model and quantifies the speed of second sound and its relaxation. The speed of second sound is around 4000 m/s in a (20,20) SWCNT and the second sound can propagate more than 10 m in an isotopically pure (20,20) SWCNT for frequency around 1 GHz at 100 K.
- Authors:
-
- Univ. of Pittsburgh, Pittsburgh, PA (United States)
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Publication Date:
- Research Org.:
- Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
- Sponsoring Org.:
- USDOE Office of Science (SC)
- OSTI Identifier:
- 1357980
- Alternate Identifier(s):
- OSTI ID: 1357848
- Grant/Contract Number:
- AC05-00OR22725
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Physical Review B
- Additional Journal Information:
- Journal Volume: 95; Journal Issue: 18; Journal ID: ISSN 2469-9950
- Publisher:
- American Physical Society (APS)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
Citation Formats
Lee, Sangyeop, and Lindsay, Lucas. Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube. United States: N. p., 2017.
Web. doi:10.1103/PhysRevB.95.184304.
Lee, Sangyeop, & Lindsay, Lucas. Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube. United States. https://doi.org/10.1103/PhysRevB.95.184304
Lee, Sangyeop, and Lindsay, Lucas. Thu .
"Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube". United States. https://doi.org/10.1103/PhysRevB.95.184304. https://www.osti.gov/servlets/purl/1357980.
@article{osti_1357980,
title = {Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube},
author = {Lee, Sangyeop and Lindsay, Lucas},
abstractNote = {Here, two hydrodynamic features of phonon transport, phonon drift and second sound, in a (20,20) single wall carbon nanotube (SWCNT) are discussed using lattice dynamics calculations employing an optimized Tersoff potential for atomic interactions. We formally derive a formula for the contribution of drift motion of phonons to total heat flux at steady state. It is found that the drift motion of phonons carry more than 70% and 90% of heat at 300 K and 100 K, respectively, indicating that phonon flow can be reasonably approximated as hydrodynamic if the SWCNT is long enough to avoid ballistic phonon transport. The dispersion relation of second sound is derived from the Peierls-Boltzmann transport equation with Callaway s scattering model and quantifies the speed of second sound and its relaxation. The speed of second sound is around 4000 m/s in a (20,20) SWCNT and the second sound can propagate more than 10 m in an isotopically pure (20,20) SWCNT for frequency around 1 GHz at 100 K.},
doi = {10.1103/PhysRevB.95.184304},
journal = {Physical Review B},
number = 18,
volume = 95,
place = {United States},
year = {Thu May 18 00:00:00 EDT 2017},
month = {Thu May 18 00:00:00 EDT 2017}
}
Web of Science
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