Phonon heat conduction in layered anisotropic crystals

Abstract

The thermal properties of anisotropic crystals are of both fundamental and practical interest, but transport phenomena in anisotropic materials such as graphite remain poorly understood because solutions of the Boltzmann equation often assume isotropy. Here, we extend an analytical solution of the Boltzmann equation to highly anisotropic solids and examine its predictions for graphite. We show that the phonon mean free paths in the cross-plane direction can be comparable to those in the in-plane direction despite the low cross-plane thermal conductivity, which instead arises primarily from the differences in group velocities and phonon frequencies supported along each direction. Additionally, we demonstrate a method to reconstruct the anisotropic mean free path spectrum of crystals with arbitrary dispersion relations without any prior knowledge of their harmonic or anharmonic properties using observations of quasiballistic heat conduction.

References in corpus (4)

• Length-dependent thermal conductivity in suspended single-layer graphene
• Direct Measurement of Room Temperature Non-diffusive Thermal Transport Over Micron Distances in a Silicon Membrane
• Ballistic to diffusive crossover of heat flow in graphene ribbons
• Superdiffusive heat conduction in semiconductor alloys -- I. Theoretical foundations