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Title: 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:
 [1];  [2]
  1. Univ. of Pittsburgh, Pittsburgh, PA (United States)
  2. 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:
Journal Article: 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. doi: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. doi: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}
}

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Works referenced in this record:

Carbon Nanotubes--the Route Toward Applications
journal, August 2002

  • Baughman, Ray H.; Zakhidov, Anvar A.; de Heer, Walt A.
  • Science, Vol. 297, Issue 5582, p. 787-792
  • DOI: 10.1126/science.1060928

Thermal Conductance and Thermopower of an Individual Single-Wall Carbon Nanotube
journal, September 2005

  • Yu, Choongho; Shi, Li; Yao, Zhen
  • Nano Letters, Vol. 5, Issue 9, p. 1842-1846
  • DOI: 10.1021/nl051044e