Simulating nanoscale heat transport

TL;DR

This chapter reviews methods for simulating heat transport at the nanoscale, focusing on phonon scattering and numerical techniques like deterministic and Monte Carlo methods, emphasizing the importance of multiscale modeling.

Contribution

It provides a comprehensive overview of modeling approaches for nanoscale heat conduction beyond Fourier's law, highlighting numerical methods and multiscale strategies.

Findings

Deterministic and Monte Carlo methods are key for nanoscale heat transport simulation.

Phonon scattering and boundary effects dominate nanoscale heat conduction.

Multiscale modeling is essential for accurate nanoscale heat transport analysis.

Abstract

In this book chapter we provide the definition of "Simulating Nanoscale Heat Transport", broadly regarded as modeling heat conduction beyond Fourier's law. We primarely focus on incoherent transport, which is dominated by scattering between phonons and the boundaries of a given material. After introducing the Boltzmann Transport Equation (BTE) for phonons, we elaborate on different numerical techniques for solving nanoscale heat transport includind deterministic and Monte Carlo based method. A discussion on the need for multiscale modeling concludes the chapter.