Landauer vs. Boltzmann and Full Dispersion vs. Debye Model Evaluation of Lattice Thermal Conductivity - Condensed Matter > Materials ScienceReport as inadecuate




Landauer vs. Boltzmann and Full Dispersion vs. Debye Model Evaluation of Lattice Thermal Conductivity - Condensed Matter > Materials Science - Download this document for free, or read online. Document in PDF available to download.

Abstract: Using a full dispersion description of phonons, the thermal conductivities ofbulk Si and Bi2Te3 are evaluated using a Landauer approach and related to theconventional approach based on the Boltzmann transport equation. A procedure toextract a well-defined average phonon mean-free-path from the measured thermalconductivity and given phonon-dispersion is presented. The extractedmean-free-path has strong physical significance and differs greatly from simpleestimates. The use of simplified dispersion models for phonons is discussed,and it is shown that two different Debye temperatures must be used to treat thespecific heat and thermal conductivity analogous to the two differenteffective masses needed to describe the electron density and conductivity. Asimple technique to extract these two Debye temperatures is presented and thelimitations of the method are discussed.



Author: Changwook Jeong, Supriyo Datta, Mark Lundstrom

Source: https://arxiv.org/







Related documents