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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Bibliographic Details
Published in:Entropy (Basel, Switzerland) Switzerland), 2022-02, Vol.24 (3), p.342
Main Authors: Paun, Maria-Alexandra, Paun, Vladimir-Alexandru, Paun, Viorel-Puiu
Format: Article
Language:English
Subjects:
Ablation
Atoms & subatomic particles
Charge transport
Current carriers
Entropy
Fractal analysis
Fractal models
fractal space-time
Fractals
Graphical representations
Heat
Laser ablation
Lasers
Mathematical models
Phase transitions
Plasma
Plasma temperature
polymer
Polymers
Radiation
Relativity
Spacetime
Statistics
Temperature distribution
Tsallis entropy
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Summary: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.
ISSN:1099-4300
1099-4300
DOI:10.3390/e24030342