Implementation of nonlocal non-Fourier heat transfer for semiconductor nanostructures

TL;DR

This paper introduces a nonlocal non-Fourier heat transfer model for semiconductor nanostructures, enabling accurate temperature and heat flux predictions with low computational cost, especially considering the nonlocal effects at various Knudsen numbers.

Contribution

It develops a nonlocal DPL modeling framework incorporating a new parameter {b3} to accurately simulate heat transfer in micro/nanoscale structures, aligning well with phonon Boltzmann results.

Findings

Nonlocality parameter {b3} linearly relates to Knudsen number.

Nonlocal effects are significant even at low Knudsen numbers.

The model achieves temperature and heat flux profiles close to phonon Boltzmann solutions.

Abstract

The study of heat transport in micro/nanoscale structures due to their application, especially in Nanoelectronics, is a matter of interest. In other words, the precise simulation of the temperature distribution inside the transistors is consequential in designing and building more reliable devices reaching lower maximum temperatures during the operation. The present study constitutes a framework for micro/nanoscale heat transport study which leads to the calculation of accurate temperature/heat flux profiles with low computational cost. The newly non-dimensional parameter {\gamma}, presenting the strength of the nonlocality, is utilized through the nonlocal DPL modeling (NDPL). Alongside the calculating nonlocality coefficient, the factors also appearing in DPL, including the temperature jump, phase lagging ratio, are revisited. The factor {\gamma} is found to have a linear relationship with Knudsen (Kn) number, being 3.5 for Kn=10 and 0.035 for Kn=0.1. Although the nonlocality is bold for the large Knudsen numbers, it also plays a vital role for low Knudsen number structures especially at earlier times. Further, It is obtained that intruding {\gamma} is critical for obtaining accurate temperature and heat flux distributions which are very close to the practical results of Phonon Boltzmann equation.