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Study of the Theta Pinch Plasma Numerically by Varying β Parameter and Applied Current

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Abstract

The implosion dynamics of theta pinch is studied by simulation technique through snow plow model with the help of MATHEMATICA software. The differential equation of motion for plasma implosion is derived and solved numerically by using this software. The variation effects of β parameter (plasma kinetic pressure to plasma magnetic pressure ratio) and applied current is examined on normalize radius of imploded plasma by variations in normalized time. The graphs between normalized radius and normalized time of imploded plasma indicates that theta pinching effect can be improved by decreasing β value and increasing in the magnitude of applied current.

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Acknowledgments

The corresponding author is very grateful to Dr. Fazli Manan (Quaid-i-Azam University Islamabad) for his valuable discussion and suggestions. The corresponding author also acknowledge the financial support by Higher Education of Pakistan (HEC) through project “Active Screen cage Pulse DC plasma discharge” No. 20-2268/NRPU/R&D/HEC/12/3862.

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Correspondence to H. U. Khan.

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Khan, H.U., Anees-ur-Rehman, Shafiq, M. et al. Study of the Theta Pinch Plasma Numerically by Varying β Parameter and Applied Current. J Fusion Energ 35, 263–268 (2016). https://doi.org/10.1007/s10894-015-9987-3

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  • DOI: https://doi.org/10.1007/s10894-015-9987-3

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