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An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene
A Multiple-Temperature Model is proposed to describe the flash laser irradiation of a single layer of graphene. Zhukovsky’s mathematical approach is applied to solve the Fourier heat equations based upon quantum concepts, including heat operators. Easy solutions were inferred with respect to classic...
Autores principales: | , , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
MDPI
2020
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7408377/ https://www.ncbi.nlm.nih.gov/pubmed/32635621 http://dx.doi.org/10.3390/nano10071319 |
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author | Bucă, Anca M. Oane, Mihai Mihăilescu, Ion N. Mahmood, Muhammad Arif Sava, Bogdan A. Ristoscu, Carmen |
author_facet | Bucă, Anca M. Oane, Mihai Mihăilescu, Ion N. Mahmood, Muhammad Arif Sava, Bogdan A. Ristoscu, Carmen |
author_sort | Bucă, Anca M. |
collection | PubMed |
description | A Multiple-Temperature Model is proposed to describe the flash laser irradiation of a single layer of graphene. Zhukovsky’s mathematical approach is applied to solve the Fourier heat equations based upon quantum concepts, including heat operators. Easy solutions were inferred with respect to classical mathematics. Thus, simple equations were set for the electrons and phonon temperatures in the case of flash laser treatment of a single layer of graphene. Our method avoids the difficulties and extensive time-consuming nonequilibrium green function method or quantum field theories when applied in a condensed matter. Simple expressions were deduced that could prove useful for researchers. |
format | Online Article Text |
id | pubmed-7408377 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2020 |
publisher | MDPI |
record_format | MEDLINE/PubMed |
spelling | pubmed-74083772020-08-13 An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene Bucă, Anca M. Oane, Mihai Mihăilescu, Ion N. Mahmood, Muhammad Arif Sava, Bogdan A. Ristoscu, Carmen Nanomaterials (Basel) Article A Multiple-Temperature Model is proposed to describe the flash laser irradiation of a single layer of graphene. Zhukovsky’s mathematical approach is applied to solve the Fourier heat equations based upon quantum concepts, including heat operators. Easy solutions were inferred with respect to classical mathematics. Thus, simple equations were set for the electrons and phonon temperatures in the case of flash laser treatment of a single layer of graphene. Our method avoids the difficulties and extensive time-consuming nonequilibrium green function method or quantum field theories when applied in a condensed matter. Simple expressions were deduced that could prove useful for researchers. MDPI 2020-07-05 /pmc/articles/PMC7408377/ /pubmed/32635621 http://dx.doi.org/10.3390/nano10071319 Text en © 2020 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 Bucă, Anca M. Oane, Mihai Mihăilescu, Ion N. Mahmood, Muhammad Arif Sava, Bogdan A. Ristoscu, Carmen An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene |
title | An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene |
title_full | An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene |
title_fullStr | An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene |
title_full_unstemmed | An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene |
title_short | An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene |
title_sort | analytical multiple-temperature model for flash laser irradiation on single-layer graphene |
topic | Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7408377/ https://www.ncbi.nlm.nih.gov/pubmed/32635621 http://dx.doi.org/10.3390/nano10071319 |
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