Abstract

In the present manuscript enough observations and interpretations of three issues of Plasma Physics are presented. The first issue is linked to the common experimental confirmation of plasma waves which appear to be repeated in a standard way while there are also cases where plasma waves change to an unstable state or even to chaotic state. The second issue is associated with a mathematical analysis of the movement of a charged particle using the perturbation theory; which could be used as a guide for new researchers on similar issues. Finally, the suitability and applicability of the perturbation theory or the chaotic theory is presented. Although this study could be conducted on many plasma phenomena (e.g. plasma diffusion) or plasma quantities (e.g. plasma conductivity), here it was decided this study to be conducted on plasma waves and particularly on drift waves. This was because of the significance of waves on the plasmatic state and especially their negative impact on the thermonuclear fusion, but also due to the long-time experience of the plasma laboratory of Demokritos on drift waves.

Highlights

  • In the Plasma Physics literature, plasma is often presented as a constant natural state,[1,2,3,4] there are cases where plasma appears as an unstable state.[5,6,7] In such cases, the plasma may change to a chaotic state.[8]

  • The first issue is linked to the common experimental confirmation of plasma waves which appear to be repeated in a standard way while there are cases where plasma waves change to an unstable state or even to chaotic state

  • By the end of the present experiment and analysis the question has automatically been formed: firstly, with the application of the perturbation theory we have considered and proved that small approachings-variations in the physical quantities do not change the final results effectively

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Summary

INTRODUCTION

In the Plasma Physics literature, plasma is often presented as a constant natural state,[1,2,3,4] there are cases where plasma appears as an unstable state.[5,6,7] In such cases, the plasma may change to a chaotic state.[8] These two different plasma configurations have been studied extensively by the research team of the Plasma Laboratory of ‘Demokritos’.9–12. Drift waves appear in space plasma, as well as magnetosphere and magneto-tail of the Earth[13] and involve many other phenomena. They have been studied persistently, the drift instabilities remain an open issue. Most of the calculations are included in Appendices A, B, and C

EXPERIMENT-DATA-OBSERVATIONS
The Drift Velocities finding
The first-order finding
The second-order finding
The energy change finding
The average value finding
The collision frequencies calculation
THE CHAOTIC THEORY
DISCUSSION AND CONCLUSION
R0ω0 and T

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