skip to main content
DOE PAGES title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Analysis of nonlocal phonon thermal conductivity simulations showing the ballistic to diffusive crossover

Publication Date:
Sponsoring Org.:
OSTI Identifier:
Grant/Contract Number:  
Resource Type:
Publisher's Accepted Manuscript
Journal Name:
Physical Review B
Additional Journal Information:
Journal Name: Physical Review B Journal Volume: 97 Journal Issue: 13; Journal ID: ISSN 2469-9950
American Physical Society
Country of Publication:
United States

Citation Formats

Allen, Philip B. Analysis of nonlocal phonon thermal conductivity simulations showing the ballistic to diffusive crossover. United States: N. p., 2018. Web. doi:10.1103/PhysRevB.97.134307.
Allen, Philip B. Analysis of nonlocal phonon thermal conductivity simulations showing the ballistic to diffusive crossover. United States. doi:10.1103/PhysRevB.97.134307.
Allen, Philip B. Mon . "Analysis of nonlocal phonon thermal conductivity simulations showing the ballistic to diffusive crossover". United States. doi:10.1103/PhysRevB.97.134307.
title = {Analysis of nonlocal phonon thermal conductivity simulations showing the ballistic to diffusive crossover},
author = {Allen, Philip B.},
abstractNote = {},
doi = {10.1103/PhysRevB.97.134307},
journal = {Physical Review B},
number = 13,
volume = 97,
place = {United States},
year = {2018},
month = {4}

Journal Article:
Free Publicly Available Full Text
Publisher's Version of Record
DOI: 10.1103/PhysRevB.97.134307

Save / Share:

Works referenced in this record:

Improved Callaway model for lattice thermal conductivity
journal, October 2013

Measuring Phonon Mean Free Path Distributions by Probing Quasiballistic Phonon Transport in Grating Nanostructures
journal, November 2015

  • Zeng, Lingping; Collins, Kimberlee C.; Hu, Yongjie
  • Scientific Reports, Vol. 5, Issue 1
  • DOI: 10.1038/srep17131

Quasi-ballistic thermal transport from nanoscale interfaces observed using ultrafast coherent soft X-ray beams
journal, November 2009

  • Siemens, Mark E.; Li, Qing; Yang, Ronggui
  • Nature Materials, Vol. 9, Issue 1
  • DOI: 10.1038/nmat2568

Heat dissipation in the quasiballistic regime studied using the Boltzmann equation in the spatial frequency domain
journal, January 2018

Intrinsic lattice thermal conductivity of semiconductors from first principles
journal, December 2007

  • Broido, D. A.; Malorny, M.; Birner, G.
  • Applied Physics Letters, Vol. 91, Issue 23
  • DOI: 10.1063/1.2822891

Thermal Conductivity Spectroscopy Technique to Measure Phonon Mean Free Paths
journal, August 2011

Towards more accurate molecular dynamics calculation of thermal conductivity: Case study of GaN bulk crystals
journal, March 2009

Non-diffusive relaxation of a transient thermal grating analyzed with the Boltzmann transport equation
journal, September 2013

  • Collins, Kimberlee C.; Maznev, Alexei A.; Tian, Zhiting
  • Journal of Applied Physics, Vol. 114, Issue 10
  • DOI: 10.1063/1.4820572

Heat transport in silicon from first-principles calculations
journal, August 2011

Semi-analytical solution to the frequency-dependent Boltzmann transport equation for cross-plane heat conduction in thin films
journal, May 2015

  • Hua, Chengyun; Minnich, Austin J.
  • Journal of Applied Physics, Vol. 117, Issue 17
  • DOI: 10.1063/1.4919432

A simple Boltzmann transport equation for ballistic to diffusive transient heat transport
journal, April 2015

  • Maassen, Jesse; Lundstrom, Mark
  • Journal of Applied Physics, Vol. 117, Issue 13
  • DOI: 10.1063/1.4916245

Ballistic-Diffusive Heat-Conduction Equations
journal, March 2001

Role of Low-Energy Phonons in Thermal Conduction
journal, August 1954

Kapitza conductance of symmetric tilt grain boundaries in graphene
journal, March 2012

  • Cao, Ajing; Qu, Jianmin
  • Journal of Applied Physics, Vol. 111, Issue 5
  • DOI: 10.1063/1.3692078

Quasiballistic heat removal from small sources studied from first principles
journal, January 2018

First-principles calculations of thermal, electrical, and thermoelectric transport properties of semiconductors
journal, March 2016

Analytical Green's function of the multidimensional frequency-dependent phonon Boltzmann equation
journal, December 2014

Edge states induce boundary temperature jump in molecular dynamics simulation of heat conduction
journal, August 2009

Evaluation of computational techniques for solving the Boltzmann transport equation for lattice thermal conductivity calculations
journal, October 2010

Boltzmann Transport in Nanostructures as a Friction Effect
journal, July 2017

Thermal boundary resistance predictions from molecular dynamics simulations and theoretical calculations
journal, October 2009

Elastic modulus and in-plane thermal diffusivity measurements in thin polyimide films using symmetry-selective real-time impulsive stimulated thermal scattering
journal, May 1994

  • Rogers, J. A.; Yang, Y.; Nelson, K. A.
  • Applied Physics A Solids and Surfaces, Vol. 58, Issue 5
  • DOI: 10.1007/BF00332448

A new regime of nanoscale thermal transport: Collective diffusion increases dissipation efficiency
journal, March 2015

  • Hoogeboom-Pot, Kathleen M.; Hernandez-Charpak, Jorge N.; Gu, Xiaokun
  • Proceedings of the National Academy of Sciences, Vol. 112, Issue 16
  • DOI: 10.1073/pnas.1503449112

Thermal transport at the nanoscale: A Fourier's law vs. phonon Boltzmann equation study
journal, January 2017

  • Kaiser, J.; Feng, T.; Maassen, J.
  • Journal of Applied Physics, Vol. 121, Issue 4
  • DOI: 10.1063/1.4974872

Direct Measurement of Room-Temperature Nondiffusive Thermal Transport Over Micron Distances in a Silicon Membrane
journal, January 2013

Examining the Callaway model for lattice thermal conductivity
journal, July 2014

Size effects in thermal conduction by phonons
journal, August 2014

Thermal Conductivity and Large Isotope Effect in GaN from First Principles
journal, August 2012

Onset of nondiffusive phonon transport in transient thermal grating decay
journal, November 2011

Scanning thermal microscopy: A review: Scanning thermal microscopy
journal, March 2015

  • Gomès, Séverine; Assy, Ali; Chapuis, Pierre-Olivier
  • physica status solidi (a), Vol. 212, Issue 3
  • DOI: 10.1002/pssa.201400360

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

Determining Phonon Mean Free Paths from Observations of Quasiballistic Thermal Transport
journal, November 2012

ShengBTE: A solver of the Boltzmann transport equation for phonons
journal, June 2014

  • Li, Wu; Carrete, Jesús; A. Katcho, Nebil
  • Computer Physics Communications, Vol. 185, Issue 6
  • DOI: 10.1016/j.cpc.2014.02.015

Phonon transport at interfaces between different phases of silicon and germanium
journal, January 2017

  • Gordiz, Kiarash; Henry, Asegun
  • Journal of Applied Physics, Vol. 121, Issue 2
  • DOI: 10.1063/1.4973573

Nanoscale thermal transport. II. 2003–2012
journal, March 2014

  • Cahill, David G.; Braun, Paul V.; Chen, Gang
  • Applied Physics Reviews, Vol. 1, Issue 1
  • DOI: 10.1063/1.4832615

Steady state and modulated heat conduction in layered systems predicted by the analytical solution of the phonon Boltzmann transport equation
journal, August 2015

  • Ordonez-Miranda, Jose; Yang, Ronggui; Volz, Sebastian
  • Journal of Applied Physics, Vol. 118, Issue 7
  • DOI: 10.1063/1.4928770

Superdiffusive heat conduction in semiconductor alloys. I. Theoretical foundations
journal, February 2015

Nonlocal theory for heat transport at high frequencies
journal, November 2014

Multidimensional quasiballistic thermal transport in transient grating spectroscopy
journal, August 2015

Thermal conductivity of GaN crystals in 4.2–300 K range
journal, October 2003

Radial quasiballistic transport in time-domain thermoreflectance studied using Monte Carlo simulations
journal, April 2014

  • Ding, D.; Chen, X.; Minnich, A. J.
  • Applied Physics Letters, Vol. 104, Issue 14
  • DOI: 10.1063/1.4870811

Compact stochastic models for multidimensional quasiballistic thermal transport
journal, November 2016

  • Vermeersch, Bjorn
  • Journal of Applied Physics, Vol. 120, Issue 17
  • DOI: 10.1063/1.4965866

Transport waves as crystal excitations
journal, September 2017

Thermal conductivity and ballistic-phonon transport in the cross-plane direction of superlattices
journal, June 1998

Comparison of theoretical and simulation-based predictions of grain-boundary Kapitza conductance in silicon
journal, August 2008

Transient ballistic and diffusive phonon heat transport in thin films
journal, July 1993

  • Joshi, A. A.; Majumdar, A.
  • Journal of Applied Physics, Vol. 74, Issue 1
  • DOI: 10.1063/1.354111

Unifying first-principles theoretical predictions and experimental measurements of size effects in thermal transport in SiGe alloys
journal, October 2017

Kapitza resistance at segregated boundaries in β-SiC
journal, September 2015

  • Goel, N.; Webb, E. B.; Oztekin, A.
  • Journal of Applied Physics, Vol. 118, Issue 11
  • DOI: 10.1063/1.4931055

Some effects of oxygen impurities on AlN and GaN
journal, December 2002

  • Slack, Glen A.; Schowalter, Leo J.; Morelli, Donald
  • Journal of Crystal Growth, Vol. 246, Issue 3-4, p. 287-298
  • DOI: 10.1016/S0022-0248(02)01753-0

Zur kinetischen Theorie der Wärmeleitung in Kristallen
journal, January 1929

Experimental verification of Herring’s theory of anharmonic phonon relaxation: TeO 2
journal, January 1999

Transport regimes in quasiballistic heat conduction
journal, March 2014

Microscale Heat Conduction in Dielectric Thin Films
journal, February 1993

Anisotropic failure of Fourier theory in time-domain thermoreflectance experiments
journal, October 2014

  • Wilson, R. B.; Cahill, David G.
  • Nature Communications, Vol. 5, Issue 1
  • DOI: 10.1038/ncomms6075