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

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 car...

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Detalles Bibliográficos
Autores principales: Sanchez-Martinez, Miguel-Ángel, Alzina, Francesc, Oyarzo, Juan, Sotomayor Torres, Clivia M., Chavez-Angel, Emigdio
Formato: Online Artículo Texto
Lenguaje:English
Publicado: MDPI 2019
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6473983/
https://www.ncbi.nlm.nih.gov/pubmed/30862077
http://dx.doi.org/10.3390/nano9030414
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author Sanchez-Martinez, Miguel-Ángel
Alzina, Francesc
Oyarzo, Juan
Sotomayor Torres, Clivia M.
Chavez-Angel, Emigdio
author_facet Sanchez-Martinez, Miguel-Ángel
Alzina, Francesc
Oyarzo, Juan
Sotomayor Torres, Clivia M.
Chavez-Angel, Emigdio
author_sort Sanchez-Martinez, Miguel-Ángel
collection PubMed
description 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.
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spelling pubmed-64739832019-05-03 Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond Sanchez-Martinez, Miguel-Ángel Alzina, Francesc Oyarzo, Juan Sotomayor Torres, Clivia M. Chavez-Angel, Emigdio Nanomaterials (Basel) Article 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. MDPI 2019-03-11 /pmc/articles/PMC6473983/ /pubmed/30862077 http://dx.doi.org/10.3390/nano9030414 Text en © 2019 by the authors. Licensee MDPI, Basel, Switzerland. This article is an open access article distributed under the terms and conditions of the Creative Commons Attribution (CC BY) license (http://creativecommons.org/licenses/by/4.0/).
spellingShingle Article
Sanchez-Martinez, Miguel-Ángel
Alzina, Francesc
Oyarzo, Juan
Sotomayor Torres, Clivia M.
Chavez-Angel, Emigdio
Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond
title Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond
title_full Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond
title_fullStr Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond
title_full_unstemmed Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond
title_short Impact of the Regularization Parameter in the Mean Free Path Reconstruction Method: Nanoscale Heat Transport and Beyond
title_sort impact of the regularization parameter in the mean free path reconstruction method: nanoscale heat transport and beyond
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC6473983/
https://www.ncbi.nlm.nih.gov/pubmed/30862077
http://dx.doi.org/10.3390/nano9030414
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