Some Notes on Boltzmann and Landauer Phonon Thermal Transport at Nanoscale

To evaluate the phonon thermal transport at the nanoscale of nanotubes and nanowires we can use Boltzmann and Landauer approaches. The Boltzmann equation is coming from a semiclassical formulation, whereas the Landauer equation is based on ballistic models. Here we show, for teaching purposes, a simple manner of linking these two approaches using dimensional equations.