Polytropic Coefficient Function for Tonks-Langmuir-Type Bounded Plasmas with Kappa-Distributed Electrons and Cold Ion Source

Khan, Majid; Hussain, Shafqat; Sheng, Zheng-Mao; Kamran, Muhammad

doi:10.1007/s13538-019-00659-4

Cited by 1 publication

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“…Recent developments in the laboratory plasmas have suggested that rather than approximating to Maxwellian, the respective VDFs should be represented in a "power-law" form. [27][28][29][30][31][32] This manuscript deals with the classical TL model having nonthermal (Kappa-and Cairn's-distributed) electrons and a cold ion source. The ion distribution function is calculated by solving the plasma equation.…”

Section: F I G U R E 1 Potential Profile Of the Tl Model Tl Tonks Amentioning

confidence: 99%

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Calculations of polytropic coefficient for the Tonks–Langmuir Electron‐ion plasma with non‐Maxwellian electron distributions

Kamran

Khan

2020

Contributions to Plasma Physics

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The dynamics of the Tonks and Langmuir‐type bounded plasma requires a closure relation to make the system of equations self‐consistent. Fluid equations are obtained from the moments of velocity distribution function. The two most frequently used closure relations are (a) completely neglecting ion temperature, and (b) setting a constant value for the ion polytropic coefficient. It has been shown that, for a Maxwellian source, either of these assumptions leads to erroneous results. Here, the premise of polytropic coefficient being a function of the potential is extended to a nonthermal plasma. Two different cases for the electron velocity distribution function are studied, namely (a) the Kappa distribution, and (b) the Cairns distribution. Number density (ni) and temperature (Ti) for the ions are numerically calculated, for respective spectral indices. The polytropic coefficient is then calculated as a function of the potential, using the relation γi = 1 + (ni/Ti)(dTi/dni). It is concluded that better approximations, vetted by kinetic means, to the polytropic coefficient are crucial for appropriate closure of fluid equations. Present work will be useful in fusion devices where non‐Maxwellian electrons may exist due to various physical phenomena.

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Section: F I G U R E 1 Potential Profile Of the Tl Model Tl Tonks Amentioning

confidence: 99%

“…Recent developments in the laboratory plasmas have suggested that rather than approximating to Maxwellian, the respective VDFs should be represented in a “power‐law” form. [ 27–32 ]…”

Section: Introductionmentioning

confidence: 99%

Calculations of polytropic coefficient for the Tonks–Langmuir Electron‐ion plasma with non‐Maxwellian electron distributions

Kamran

Khan

2020

Contributions to Plasma Physics

View full text Add to dashboard Cite

show abstract

Polytropic Coefficient Function for Tonks-Langmuir-Type Bounded Plasmas with Kappa-Distributed Electrons and Cold Ion Source

Cited by 1 publication

References 24 publications

Calculations of polytropic coefficient for the Tonks–Langmuir Electron‐ion plasma with non‐Maxwellian electron distributions

Calculations of polytropic coefficient for the Tonks–Langmuir Electron‐ion plasma with non‐Maxwellian electron distributions

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