Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond

Sanchez-Martinez, Miguel-Angel; Alzina, Francesc; Oyarzo, Juan; Sotomayor Torres, Clivia M.; Chavez-Angel, Emigdio

Abstract

The understanding of the mean free path (MFP) distribution of the energy carriers in materials (e.g., electrons, phonons, magnons, etc.) provides a key physical insight into their transport properties. In this context, MFP spectroscopy has become an important tool to describe the contribution of carriers with different MFP to the total transport phenomenon. In this work, we revise the MFP reconstruction technique and present a study on the impact of the regularization parameter on the MFP distribution of the energy carriers. By using the L-curve criterion, we calculate the optimal mathematical value of the regularization parameter. The effect of the change from the optimal value in the MFP distribution is analyzed in three case studies of heat transport by phonons. These results demonstrate that the choice of the regularization parameter has a large impact on the physical information obtained from the reconstructed accumulation function, and thus cannot be chosen arbitrarily. The approach can be applied to various transport phenomena at the nanoscale involving carriers of different physical nature and behavior.

Más información

Título según WOS: Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond
Título según SCOPUS: Impact of the regularization parameter in the mean free path reconstruction method: Nanoscale heat transport and beyond
Título de la Revista: Nanomaterials
Volumen: 9
Número: 3
Editorial: MDPI
Fecha de publicación: 2019
Idioma: English
DOI:

10.3390/nano9030414

Notas: ISI, SCOPUS