A note on a unified theory of thermal transport in crystals and disordered solids

TL;DR

This paper extends a previous model of thermal transport in solids to include space- and time-dependent heat sources, providing analytical solutions for phonon dynamics using Fourier transforms.

Contribution

It introduces a generalized theoretical framework that accounts for dynamic heat sources in thermal transport models of crystals and disordered solids.

Findings

Closed-form expressions for phonon population dynamics

Analytical solutions incorporating space and time dependence

Extension of existing models to more complex heat source scenarios

Abstract

We propose an extension to the original result derived by Simoncelli et al. (https://doi.org/10.1038/s41567-019-0520-x) to encompass the effects of a space and time dependent heat source. Via a Fourier Transfrom, we obtain closed form expressions for the dynamics of the phonon population and coherence as a function of heat source.