Monte Carlo Study of Non-diffusive Relaxation of A Transient Thermal Grating in Thin Membranes

Abstract

The impact of boundary scattering on non-diffusive thermal relaxation of a transient grating in thin membranes is rigorously analyzed using the multidimensional phonon Boltzmann equation. The gray Boltzmann simulation results indicate that approximating models derived from previously reported one-dimensional relaxation model and Fuchs-Sondheimer model fail to describe the thermal relaxation of membranes with thickness comparable with phonon mean free path. Effective thermal conductivities from spectral Boltzmann simulations completely free of any fitting parameters are shown to agree reasonably well with experimental results. These findings are important for improving our fundamental understanding of non-diffusive thermal transport in membranes and other nanostructures.

15 pages, 3 figures

References in corpus (4)

• Direct Measurement of Room Temperature Non-diffusive Thermal Transport Over Micron Distances in a Silicon Membrane
• A new regime of nanoscale thermal transport: collective diffusion counteracts dissipation inefficiency
• Multidimensional quasiballistic thermal transport in transient grating spectroscopy
• A Variational Approach to Extracting the Phonon Mean Free Path Distribution from the Spectral Boltzmann Transport Equation

Cited by in corpus (7)

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• Heat transfer in rough nanofilms and nanowires using Full Band Ab Initio Monte Carlo simulation
• Modeling quasi-ballistic transient thermal transport with spatially sinusoidal heating: a McKelvey-Shockley flux approach
• Thermal Conductivity of GaAs/Ge Nanostructures
• Monte Carlo Simulation of Single-Crystalline PbSe Nanowire Thermal Conductivity Using First-Principle Phonon Properties