Maris, HJ., Tamura S-ichiro. 2012. Heat flow in nanostructures in the Casimir regime. Physical Review B. 85(5).
In small structures the phonon mean free path due to phonon-phonon interactions and defect scattering may exceed the sample dimensions. The thermal conductivity then becomes dependent on the size and shape of the sample. In this article we present calculations of the conductivity under these conditions for several different geometries. Numerical results are presented for Si and GaAs.