Multidimensional quasiballistic thermal transport in transient grating spectroscopy

Abstract

Transient grating spectroscopy has emerged as a useful technique to study thermal phonon transport because of its ability to perform thermal measurements over length scales comparable to phonon mean free paths (MFPs). While several prior works have performed theoretical studies of quasiballistic heat conduction in transient grating, the analysis methods are either restricted to one spatial dimension or require phenomenological fitting parameters. Here, we analyze quasiballistic transport in a two-dimensional transient grating experiment, in which heat conduction can occur both in- and cross-plane, using an analytic Green's function of the Boltzmann equation we recently reported that is free of fitting parameters. We demonstrate a method by which phonon MFPs can be extracted from these measurements, thereby extending the MFP spectroscopy technique using transient grating to opaque bulk materials.

References in corpus (4)

• Direct Measurement of Room Temperature Non-diffusive Thermal Transport Over Micron Distances in a Silicon Membrane
• Superdiffusive heat conduction in semiconductor alloys -- I. Theoretical foundations
• Steady-State Heat Transport: Ballistic-to-Diffusive with Fourier's Law
• Phonon heat conduction in layered anisotropic crystals

Cited by in corpus (11)

• Spectral analysis of non-equilibrium molecular dynamics: spectral phonon temperature and phonon local non-equilibrium in thin films and across interfaces
• Accessing temperature waves: a dispersion relation perspective
• Monte Carlo Study of Non-diffusive Relaxation of A Transient Thermal Grating in Thin Membranes
• A Variational Approach to Extracting the Phonon Mean Free Path Distribution from the Spectral Boltzmann Transport Equation
• Variational Approach to Solving the Spectral Boltzmann Transport Equation in Transient Thermal Grating for Thin Films
• The Role of Thermalizing and Non-thermalizing Walls in Phonon Heat Conduction along Thin Films
• Quasiballistic heat removal from small sources studied from first principles
• Analysis of nonlocal phonon thermal conductivity simulations showing the ballistic to diffusive crossover
• Modeling quasi-ballistic transient thermal transport with spatially sinusoidal heating: a McKelvey-Shockley flux approach
• Reconstruction of the phonon relaxation times using solutions of the Boltzmann transport equation
• Compact models for multidimensional quasiballistic thermal transport