To analyze a physical plasma system, qualitative analysis methods should be applied first. Plasma systems components like the plasma source itself and its diagnostic tools must be studied to find out how these components interact to yield results describing the actual plasma system behaviour. For example, immersing a basic electric diagnostic instrument, such as the Langmuir probe, in a thermionically produced plasma source to measure plasma characteristic parameters constitutes a plasma system. When a time-sweep of the probe bias voltage is applied to the probe tip, plasma charge current is collected between the two probe bias voltage polarities. The resulting so-called I-V characteristics curve resembles the logistic curve proposed, previously, by Verhulst. The Verhulst logistic model curve described how population grow relative to available resources and formed the basis of modern chaos theory. In this letter, accounting for plasma charges population growth (or decay) as well as how they are sustained in a plasma system is discussed qualitatively. This is done without bearing additional assumptions as to the physical composition of the plasma charge itself. In addition, the findings here should modify the approach in interpreting Langmuir probe trace data that used before, only, an exponential fit to model the plasma charge current vs. probe bias voltage data. This allows for more fitting models to be implemented to analyze the behaviour of a variety of plasma systems.
| Published in | International Journal of Science and Qualitative Analysis (Volume 6, Issue 2) |
| DOI | 10.11648/j.ijsqa.20200602.11 |
| Page(s) | 16-18 |
| Creative Commons |
This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited. |
| Copyright |
Copyright © The Author(s), 2020. Published by Science Publishing Group |
Physical Plasma, Charge, Langmuir Probe Trace, Verhulst Logistic Curve Model, Plasma Charge Current, Probe Bias Voltage, Energy, Chaos Theory
| [1] | Chen, Francis F. Introduction to plasma physics. Springer Science & Business Media, (2012): 3. |
| [2] | Alfven, Hannes. "Model of the plasma universe." IEEE transactions on plasma science 14, no. 6 (1986): 629-638. |
| [3] | Lieberman, Michael A., and Alan J. Lichtenberg. Principles of plasma discharges and materials processing. John Wiley & Sons, (2005). |
| [4] | Chu, Paul K., and XinPei Lu, eds. Low temperature plasma technology: methods and applications. CRC Press, (2013). |
| [5] | Fitzpatrick, Richard. Plasma physics: an introduction. CRC Press, (2014): 2. |
| [6] | Hershkowitz, Noah. "How Langmuir probes work." Plasma diagnostics 1 (1989). |
| [7] | Kint, Jos, Denis Constales, and André Vanderbauwhede. "Pierre-François Verhulst’s final triumph." In The Logistic Map and the Route to Chaos. Springer, Berlin, Heidelberg, (2006): 13-28. |
| [8] | Lorenz, Edward N. "Deterministic nonperiodic flow." In The Theory of Chaotic Attractors. Springer, New York, NY, (2004): 25-36. |
| [9] | Escande, D. F. "Complexity and simplicity of plasmas." In AIP Conference Proceedings, vol. 1582, no. 1. American Institute of Physics, (2014): 22-34. |
| [10] | Langmuir, Irving, and Chauncey Guy Suits. The Collected Works of Irving Langmuir: With Contributions in Memoriam, Including a Complete Bibliography of His Works – Volume 3. General Editor: CG Suits, Executive Editor: HE Way. Pergamon Press, 1961: 33. |
| [11] | Verhulst, P. "La loi d’accroissement de la population." Nouv. Mem. Acad. Roy. Soc. Belle-lettr. Bruxelles Volume 18, no. 1 (1845): last page in the original copy of manuscript. |
| [12] | Gilbert, William. De magnete. Courier Corporation, (1958). |
| [13] | De Coulomb, Charles Augustin. "Cinquième Mémoire sur l’Electricité et le Magnétisme." Histoire de l'Académie Royale des Sciences (1787): 421-467. |
| [14] | Guldberg, Cato Maximilian, and Peter Waage. Etudes sur les affinités chimiques. Brøgger & Christie, 1 (1867). Weisstein, Eric W. “Logistic Equation.” Wolfram MathWorld. https://mathworld.wolfram.com/LogisticEquation.html (accessed May 5, 2020). |
| [15] | Weisstein, Eric W. "Logistic Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/LogisticEqua tion.html. |
APA Style
Ahmed Matouq Ahmed Hala. (2020). Qualitative Analysis of Chaotic Behaviour in a Plasma System. International Journal of Science and Qualitative Analysis, 6(2), 16-18. https://doi.org/10.11648/j.ijsqa.20200602.11
ACS Style
Ahmed Matouq Ahmed Hala. Qualitative Analysis of Chaotic Behaviour in a Plasma System. Int. J. Sci. Qual. Anal. 2020, 6(2), 16-18. doi: 10.11648/j.ijsqa.20200602.11
AMA Style
Ahmed Matouq Ahmed Hala. Qualitative Analysis of Chaotic Behaviour in a Plasma System. Int J Sci Qual Anal. 2020;6(2):16-18. doi: 10.11648/j.ijsqa.20200602.11
Share This Article
Twitter
Linked In
Facebook
Copy
Download@article{10.11648/j.ijsqa.20200602.11,
author = {Ahmed Matouq Ahmed Hala},
title = {Qualitative Analysis of Chaotic Behaviour in a Plasma System},
journal = {International Journal of Science and Qualitative Analysis},
volume = {6},
number = {2},
pages = {16-18},
doi = {10.11648/j.ijsqa.20200602.11},
url = {https://doi.org/10.11648/j.ijsqa.20200602.11},
eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ijsqa.20200602.11},
abstract = {To analyze a physical plasma system, qualitative analysis methods should be applied first. Plasma systems components like the plasma source itself and its diagnostic tools must be studied to find out how these components interact to yield results describing the actual plasma system behaviour. For example, immersing a basic electric diagnostic instrument, such as the Langmuir probe, in a thermionically produced plasma source to measure plasma characteristic parameters constitutes a plasma system. When a time-sweep of the probe bias voltage is applied to the probe tip, plasma charge current is collected between the two probe bias voltage polarities. The resulting so-called I-V characteristics curve resembles the logistic curve proposed, previously, by Verhulst. The Verhulst logistic model curve described how population grow relative to available resources and formed the basis of modern chaos theory. In this letter, accounting for plasma charges population growth (or decay) as well as how they are sustained in a plasma system is discussed qualitatively. This is done without bearing additional assumptions as to the physical composition of the plasma charge itself. In addition, the findings here should modify the approach in interpreting Langmuir probe trace data that used before, only, an exponential fit to model the plasma charge current vs. probe bias voltage data. This allows for more fitting models to be implemented to analyze the behaviour of a variety of plasma systems.},
year = {2020}
}
TY - JOUR T1 - Qualitative Analysis of Chaotic Behaviour in a Plasma System AU - Ahmed Matouq Ahmed Hala Y1 - 2020/07/04 PY - 2020 N1 - https://doi.org/10.11648/j.ijsqa.20200602.11 DO - 10.11648/j.ijsqa.20200602.11 T2 - International Journal of Science and Qualitative Analysis JF - International Journal of Science and Qualitative Analysis JO - International Journal of Science and Qualitative Analysis SP - 16 EP - 18 PB - Science Publishing Group SN - 2469-8164 UR - https://doi.org/10.11648/j.ijsqa.20200602.11 AB - To analyze a physical plasma system, qualitative analysis methods should be applied first. Plasma systems components like the plasma source itself and its diagnostic tools must be studied to find out how these components interact to yield results describing the actual plasma system behaviour. For example, immersing a basic electric diagnostic instrument, such as the Langmuir probe, in a thermionically produced plasma source to measure plasma characteristic parameters constitutes a plasma system. When a time-sweep of the probe bias voltage is applied to the probe tip, plasma charge current is collected between the two probe bias voltage polarities. The resulting so-called I-V characteristics curve resembles the logistic curve proposed, previously, by Verhulst. The Verhulst logistic model curve described how population grow relative to available resources and formed the basis of modern chaos theory. In this letter, accounting for plasma charges population growth (or decay) as well as how they are sustained in a plasma system is discussed qualitatively. This is done without bearing additional assumptions as to the physical composition of the plasma charge itself. In addition, the findings here should modify the approach in interpreting Langmuir probe trace data that used before, only, an exponential fit to model the plasma charge current vs. probe bias voltage data. This allows for more fitting models to be implemented to analyze the behaviour of a variety of plasma systems. VL - 6 IS - 2 ER -
Information
Email: