Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube

Lee, Sangyeop; Lindsay, Lucas

doi:10.1103/PhysRevB.95.184304

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:

Lee, Sangyeop ^[1]; Lindsay, Lucas ^[2]

Univ. of Pittsburgh, Pittsburgh, PA (United States)
Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)

Publication Date:: Thu May 18 00:00:00 EDT 2017

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.

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                    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

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                    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.

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@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 referencing / citing this record:

Perspective on ab initio phonon thermal transport
journal, August 2019

Lindsay, Lucas; Katre, Ankita; Cepellotti, Andrea
Journal of Applied Physics, Vol. 126, Issue 5
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Hydrodynamic Phonon Transport Perpendicular to Diffuse-Gray Boundaries
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Thermal Resistance by Transition Between Collective and Non-Collective Phonon Flows in Graphitic Materials
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Lee, Sangyeop; Li, Xun; Guo, Ruiqiang
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Direct simulation of second sound in graphene by solving the phonon Boltzmann equation via a multiscale scheme
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Luo, Xiao-Ping; Guo, Yang-Yu; Wang, Mo-Ran
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Four-Probe Measurement of Thermal Transport in Suspended Few-Layer Graphene With Polymer Residue
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Similar Records

Title: Hydrodynamic phonon drift and second sound in a (20,20) single-wall carbon nanotube

Abstract

Citation Formats

Phonon Boltzmann Equation and Second Sound in Solids journal, August 1970

Thermal Conductivity, Second Sound, and Phonon Hydrodynamic Phenomena in Nonmetallic Crystals journal, August 1966

Carbon nanotube thermal transport: Ballistic to diffusive journal, March 2006

Molecular dynamics simulation of heat pulse propagation in single-wall carbon nanotubes journal, September 2005

Elastic properties of single-walled carbon nanotubes journal, January 2000

Thermal conductivity of insulating crystals in the presence of normal processes journal, May 1965

Thermal conductivity of single-walled carbon nanotubes journal, January 1999

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

Observation of Second Sound in Bismuth journal, May 1972

Heat Pulses in NaF: Onset of Second Sound journal, January 1970

Suppression of anharmonicities in crystalline membranes by external strain journal, May 2011

Unusually High Thermal Conductivity of Carbon Nanotubes journal, May 2000

Hydrodynamic phonon transport in suspended graphene journal, February 2015

Diameter dependence of carbon nanotube thermal conductivity and extension to the graphene limit journal, October 2010

Isotope scattering of large-wave-vector phonons in GaAs and InSb: Deformation-dipole and overlap-shell models journal, July 1984

Thermal Conductance of an Individual Single-Wall Carbon Nanotube above Room Temperature journal, January 2006

Lattice thermal conductivity of single-walled carbon nanotubes: Beyond the relaxation time approximation and phonon-phonon scattering selection rules journal, September 2009

Molecular Dynamics of Diffusive-Ballistic Heat Conduction in Single-Walled Carbon Nanotubes journal, April 2008

Phonon thermal transport in strained and unstrained graphene from first principles journal, April 2014

Non-Fourier heat conduction in a single-walled carbon nanotube: Classical molecular dynamics simulations journal, May 2006

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

Phonon hydrodynamics in two-dimensional materials journal, March 2015

Model for Lattice Thermal Conductivity at Low Temperatures journal, February 1959

Optimized Tersoff and Brenner empirical potential parameters for lattice dynamics and phonon thermal transport in carbon nanotubes and graphene journal, May 2010

Beyond the isotropic-model approximation in the theory of thermal conductivity journal, April 1996

Flexure modes in carbon nanotubes journal, August 2004

Phonon hydrodynamics in solids journal, July 1974

Carbon nanotubes [Uglerodnye nanotrubki] journal, January 1997

Carbon Nanotubes journal, June 1996

Carbon Nanotubes journal, December 2002

Suppression of anharmonicities in crystalline membranes by external strain text, January 2011

Perspective on ab initio phonon thermal transport journal, August 2019

Hydrodynamic Phonon Transport Perpendicular to Diffuse-Gray Boundaries journal, December 2018

Thermal Resistance by Transition Between Collective and Non-Collective Phonon Flows in Graphitic Materials journal, February 2019

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Four-Probe Measurement of Thermal Transport in Suspended Few-Layer Graphene With Polymer Residue journal, April 2019

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Phonon Boltzmann Equation and Second Sound in Solids
journal, August 1970

Thermal Conductivity, Second Sound, and Phonon Hydrodynamic Phenomena in Nonmetallic Crystals
journal, August 1966

Carbon nanotube thermal transport: Ballistic to diffusive
journal, March 2006

Molecular dynamics simulation of heat pulse propagation in single-wall carbon nanotubes
journal, September 2005

Elastic properties of single-walled carbon nanotubes
journal, January 2000

Thermal conductivity of insulating crystals in the presence of normal processes
journal, May 1965

Thermal conductivity of single-walled carbon nanotubes
journal, January 1999

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

Observation of Second Sound in Bismuth
journal, May 1972

Heat Pulses in NaF: Onset of Second Sound
journal, January 1970

Suppression of anharmonicities in crystalline membranes by external strain
journal, May 2011

Unusually High Thermal Conductivity of Carbon Nanotubes
journal, May 2000

Hydrodynamic phonon transport in suspended graphene
journal, February 2015

Diameter dependence of carbon nanotube thermal conductivity and extension to the graphene limit
journal, October 2010

Isotope scattering of large-wave-vector phonons in GaAs and InSb: Deformation-dipole and overlap-shell models
journal, July 1984

Thermal Conductance of an Individual Single-Wall Carbon Nanotube above Room Temperature
journal, January 2006

Lattice thermal conductivity of single-walled carbon nanotubes: Beyond the relaxation time approximation and phonon-phonon scattering selection rules
journal, September 2009

Molecular Dynamics of Diffusive-Ballistic Heat Conduction in Single-Walled Carbon Nanotubes
journal, April 2008

Phonon thermal transport in strained and unstrained graphene from first principles
journal, April 2014

Non-Fourier heat conduction in a single-walled carbon nanotube: Classical molecular dynamics simulations
journal, May 2006

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

Phonon hydrodynamics in two-dimensional materials
journal, March 2015

Model for Lattice Thermal Conductivity at Low Temperatures
journal, February 1959

Optimized Tersoff and Brenner empirical potential parameters for lattice dynamics and phonon thermal transport in carbon nanotubes and graphene
journal, May 2010

Beyond the isotropic-model approximation in the theory of thermal conductivity
journal, April 1996

Flexure modes in carbon nanotubes
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Phonon hydrodynamics in solids
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Carbon nanotubes [Uglerodnye nanotrubki]
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Carbon Nanotubes
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Carbon Nanotubes
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Suppression of anharmonicities in crystalline membranes by external strain
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