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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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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