Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory
Polymer plasma produced by laser ablation is investigated in a theoretical manner. In relation to the fact that the charge carrier circulation is assumed to take place on fractal curves, the so-called fractality type, electrical charge transport can be resolved by an extended scale relativity method...
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| Format: | Article |
| Language: | English |
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MDPI AG
2022-02-01
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| Series: | Entropy |
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| Online Access: | https://www.mdpi.com/1099-4300/24/3/342 |
| _version_ | 1797471751279476736 |
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| author | Maria-Alexandra Paun Vladimir-Alexandru Paun Viorel-Puiu Paun |
| author_facet | Maria-Alexandra Paun Vladimir-Alexandru Paun Viorel-Puiu Paun |
| author_sort | Maria-Alexandra Paun |
| collection | DOAJ |
| description | Polymer plasma produced by laser ablation is investigated in a theoretical manner. In relation to the fact that the charge carrier circulation is assumed to take place on fractal curves, the so-called fractality type, electrical charge transport can be resolved by an extended scale relativity method. In addition, an elegant mathematical model, utilizing a conjecture of fractal space-time, is elaborated. The complete solution and its graphical representation for temperature distribution in two-dimensional and three-dimensional cases are successfully introduced. The discrete physical behavior and irrevocable transformation of nanoscale microdomain substructures by laser ablation are realistically examined. Further, benefiting from the interpretation of the fractal analysis, each of the experimental results can be fairly explained. On top of that, this paper presents a proof of Tsallis nonextensive q-statistics, especially for the plasma plume studied. Tsallis entropy in direct connection with fractal dynamics and chaotic-type mechanics of the plasma plume and time-series representation of plasma temperature is introduced for the first time in the present publication, and the q-statistics of the plume plasma temperature are also studied, among others. |
| first_indexed | 2024-03-09T19:52:38Z |
| format | Article |
| id | doaj.art-e4cf7a431b484adb8a992512d3491a97 |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-03-09T19:52:38Z |
| publishDate | 2022-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-e4cf7a431b484adb8a992512d3491a972023-11-24T01:07:02ZengMDPI AGEntropy1099-43002022-02-0124334210.3390/e24030342Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: TheoryMaria-Alexandra Paun0Vladimir-Alexandru Paun1Viorel-Puiu Paun2School of Engineering, Swiss Federal Institute of Technology (EPFL), 1015 Lausanne, SwitzerlandFive Rescue Research Laboratory, 75004 Paris, FranceDepartment of Physics, Faculty of Applied Sciences, University Politehnica of Bucharest, 060042 Bucharest, RomaniaPolymer plasma produced by laser ablation is investigated in a theoretical manner. In relation to the fact that the charge carrier circulation is assumed to take place on fractal curves, the so-called fractality type, electrical charge transport can be resolved by an extended scale relativity method. In addition, an elegant mathematical model, utilizing a conjecture of fractal space-time, is elaborated. The complete solution and its graphical representation for temperature distribution in two-dimensional and three-dimensional cases are successfully introduced. The discrete physical behavior and irrevocable transformation of nanoscale microdomain substructures by laser ablation are realistically examined. Further, benefiting from the interpretation of the fractal analysis, each of the experimental results can be fairly explained. On top of that, this paper presents a proof of Tsallis nonextensive q-statistics, especially for the plasma plume studied. Tsallis entropy in direct connection with fractal dynamics and chaotic-type mechanics of the plasma plume and time-series representation of plasma temperature is introduced for the first time in the present publication, and the q-statistics of the plume plasma temperature are also studied, among others.https://www.mdpi.com/1099-4300/24/3/342fractal space-timeTsallis entropypolymerplasmalaser ablation |
| spellingShingle | Maria-Alexandra Paun Vladimir-Alexandru Paun Viorel-Puiu Paun Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory Entropy fractal space-time Tsallis entropy polymer plasma laser ablation |
| title | Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory |
| title_full | Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory |
| title_fullStr | Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory |
| title_full_unstemmed | Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory |
| title_short | Fractal Modeling of Polymer Plasma Laser Ablation, Plasma Plume Tsallis Entropy and Its q-Statistics Interpretation, Part I: Theory |
| title_sort | fractal modeling of polymer plasma laser ablation plasma plume tsallis entropy and its q statistics interpretation part i theory |
| topic | fractal space-time Tsallis entropy polymer plasma laser ablation |
| url | https://www.mdpi.com/1099-4300/24/3/342 |
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