@article{Prasher2006-uu,
  author = {Ravi S Prasher},
  title = {Thermal conductivity of composites of aligned nanoscale and microscale wires and pores},
  abstract = {<p><span>Two-dimensional\&nbsp;</span>composite materials<span>\&nbsp;made from aligned nano- and microwires hold great promise for various applications such as thermoelectric device. Similarly, two-dimensional\&nbsp;</span>composites<span>\&nbsp;made from aligned nanoscale pores are also very important for various technologies.\&nbsp;</span>Phonon<span>\&nbsp;transport along such\&nbsp;</span>composites<span>\&nbsp;primarily involves three nondimensional parameters based on the\&nbsp;</span>phonon<span>\&nbsp;mean paths in the host medium and the\&nbsp;</span>wire.<span>\&nbsp;The first of these is the ratio of interwire distance to the\&nbsp;</span>phonon<span>\&nbsp;mean free path in the host medium, the second is the ratio of the diameter of the\&nbsp;</span>wire<span>\&nbsp;to the\&nbsp;</span>phonon<span>\&nbsp;mean free path in the host medium, and the third is the ratio of the diameter of the\&nbsp;</span>wire<span>\&nbsp;to the\&nbsp;</span>phonon<span>mean free path in the\&nbsp;</span>wire.<span>\&nbsp;We develop an\&nbsp;</span><em>analytical</em><span>\&nbsp;</span>model<span>\&nbsp;for the\&nbsp;</span>thermal conductivity<span>\&nbsp;in the longitudinal direction of these\&nbsp;</span>composites<span>\&nbsp;by solving the\&nbsp;</span>phonon<span>\&nbsp;Boltzmann transport equation. The analytical\&nbsp;</span>model<span>\&nbsp;includes the dependences of all three parameters and is in excellent agreement with a recently reported numerical\&nbsp;</span>model<span>\&nbsp;[Yang\&nbsp;</span><em>et al.</em><span>,\&nbsp;</span><span class="NLM_source">Phys. Rev. B</span><span>\&nbsp;</span><strong>72</strong><span>, 125418 (2005)]. Our solution shows that the scattering of\&nbsp;</span>phonons<span>\&nbsp;in the host medium at the\&nbsp;</span>wire<span>\&nbsp;interface reduces the\&nbsp;</span>thermal conductivity<span>\&nbsp;of the host medium.</span></p>},
  year = {2006},
  booktitle = {J. Appl. Phys.},
  journal = {J. Appl. Phys.},
  series = {J. Appl. Phys.},
  institution = {aip.scitation.org},
  publisher = {aip.scitation.org},
  doi = {10.1063/1.2219162},
  language = {eng},
}