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...

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Main Authors: Anca M. Bucă, Mihai Oane, Ion N. Mihăilescu, Muhammad Arif Mahmood, Bogdan A. Sava, Carmen Ristoscu
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Nanomaterials
Subjects:
Online Access:https://www.mdpi.com/2079-4991/10/7/1319
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spelling doaj-d87756f9399d4d3884b7b275703ad2bb2020-11-25T02:53:20ZengMDPI AGNanomaterials2079-49912020-07-01101319131910.3390/nano10071319An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer GrapheneAnca M. Bucă0Mihai Oane1Ion N. Mihăilescu2Muhammad Arif Mahmood3Bogdan A. Sava4Carmen Ristoscu5Faculty of Physics, University of Bucharest, 077125 Măgurele, Ilfov, RomaniaNational Institute for Laser, Plasma and Radiation Physics, 077125 Măgurele, Ilfov, RomaniaNational Institute for Laser, Plasma and Radiation Physics, 077125 Măgurele, Ilfov, RomaniaFaculty of Physics, University of Bucharest, 077125 Măgurele, Ilfov, RomaniaNational Institute for Laser, Plasma and Radiation Physics, 077125 Măgurele, Ilfov, RomaniaNational Institute for Laser, Plasma and Radiation Physics, 077125 Măgurele, Ilfov, RomaniaA 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.https://www.mdpi.com/2079-4991/10/7/1319Multiple-Temperature ModelZhukovsky’s approachgraphenecomparison with other theoretical models
collection DOAJ
language English
format Article
sources DOAJ
author Anca M. Bucă
Mihai Oane
Ion N. Mihăilescu
Muhammad Arif Mahmood
Bogdan A. Sava
Carmen Ristoscu
spellingShingle Anca M. Bucă
Mihai Oane
Ion N. Mihăilescu
Muhammad Arif Mahmood
Bogdan A. Sava
Carmen Ristoscu
An Analytical Multiple-Temperature Model for Flash Laser Irradiation on Single-Layer Graphene
Nanomaterials
Multiple-Temperature Model
Zhukovsky’s approach
graphene
comparison with other theoretical models
author_facet Anca M. Bucă
Mihai Oane
Ion N. Mihăilescu
Muhammad Arif Mahmood
Bogdan A. Sava
Carmen Ristoscu
author_sort Anca M. Bucă
title 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_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_sort analytical multiple-temperature model for flash laser irradiation on single-layer graphene
publisher MDPI AG
series Nanomaterials
issn 2079-4991
publishDate 2020-07-01
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.
topic Multiple-Temperature Model
Zhukovsky’s approach
graphene
comparison with other theoretical models
url https://www.mdpi.com/2079-4991/10/7/1319
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