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Articles

Modified Ballistic–Diffusive Equations for Obtaining Phonon Mean Free Path Spectrum from Ballistic Thermal Resistance: II. Derivation of Integral Equation Based on Ballistic Thermal Resistance

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Pages 334-347 | Received 06 Dec 2018, Accepted 28 May 2019, Published online: 13 Jun 2019

References

  • O. Kwon, G. Wehmeyer, and C. Dames. “Modified ballistic-diffusive equations to obtain phonon mean free path spectrum from ballistic thermal resistance: I. Modification and validation of the equations,” Nanosc. Microsc. Therm., to be published.
  • A. J. Minnich, “Determining phonon mean free paths from observations of quasiballistic thermal transport,” Phys. Rev. Lett, vol. 109, pp. 205901, 2012. DOI:10.1103/PhysRevLett.109.205901.
  • F. Yang and C. Dames, “Mean free path spectra as a tool to understand thermal conductivity in bulk and nanostructures,” Phys. Rev. B, vol. 87, pp. 035437, 2013. DOI:10.1103/PhysRevB.87.035437.
  • Y. Hu, L. Zeng, A. J. Minnich, M. S. Dresselhaus, and G. Chen, “Spectral mapping of thermal conductivity through nanoscale ballistic transport,” Nat. Nanotechnol., vol. 10, no. 8, pp. 701–706, Aug. 2015. DOI: 10.1038/nnano.2015.109.
  • G. Chen, “Ballistic-diffusive heat-conduction equations,” ( in English) Phys. Rev. Lett., vol. 86, no. 11, pp. 2297–2300, Mar 12. 2001. DOI:10.1103/PhysRevLett.86.2297.
  • M. E. Siemens, “Quasi-ballistic thermal transport from nanoscale interfaces observed using ultrafast coherent soft X-ray beams,” Nat. Mater., vol. 9, pp. 26–30, 2009. DOI:10.1038/nmat2568.
  • G. Chen, “Nonlocal and nonequilibrium heat conduction in the vicinity of nanoparticles,” J. Heat Trans.-T. ASME, vol. 118, no. 3, pp. 539–545, Aug. 1996. DOI: 10.1115/1.2822665.

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