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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...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2019
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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. |
format | Online Article Text |
id | pubmed-6473983 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2019 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
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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