scholarly journals Effects of boundary conditions and flow on the kink instability in a cylindrical plasma column

2007 ◽  
Vol 14 (2) ◽  
pp. 022103 ◽  
Author(s):  
I. Furno ◽  
T. P. Intrator ◽  
G. Lapenta ◽  
L. Dorf ◽  
S. Abbate ◽  
...  
2012 ◽  
Vol 518-523 ◽  
pp. 5627-5630 ◽  
Author(s):  
Yu Jie Dai ◽  
Jin Hua Huang ◽  
Xue Hui Wang

The evolution of growth rate and eigenfunction of kink instability in a cylindrical plasma column with different plasma pressure is studied by a semi-analytical method. The method can transform magnetohydrodynamics (MHD) equations into a second-order ordinary differential equation. Growth rate can be obtained by solving the second-order ordinary differential equation. 2-D radial eigenfunction can be calculated with a fixed growth rate. The significant change of growth rate and eigenfunction indicates inhomogeneous plasma pressure P0 is destructive for kink instability. The advantage of our method is that it can divide problem into two parts and then solve them separately.


2011 ◽  
Vol 39 (11) ◽  
pp. 2552-2553 ◽  
Author(s):  
Nataliya K. Sakhnenko ◽  
Nadiya P. Stogniy ◽  
Alexander G. Nerukh

1967 ◽  
Vol 50 (1) ◽  
pp. 129-136
Author(s):  
S. Krishan ◽  
S. Singh Rao

2021 ◽  
Vol 87 (4) ◽  
Author(s):  
G. Liziakin ◽  
A. Oiler ◽  
A. Gavrikov ◽  
N. Antonov ◽  
V. Smirnov

The possibility of controlling the electrostatic field distribution in plasma has yielded wide prospects for modern technologies. As a magnetic field primarily allows for creating electric fields in plasma, it serves as an additional obstacle for the current flow through a medium. In the present paper, an axially symmetric system is considered in which the magnetic field is directed along the axis and concentric electrodes are located at the ends. The electrodes are negatively biased. A model which solves the problem of the radial distribution of the plasma potential inside the cylindrical plasma column supported by the end electrodes is proposed. The most commonly encountered configurations of the electrical connection for the end electrodes are considered, and the particular solutions to the problem of the radial distribution are presented. The contribution of ions and electrons to the transverse conductivity is evaluated in detail. The influence of a thermionic element on the radial profile of the plasma potential is considered. To verify the proposed model, an experimental study of the reflex discharge is carried out with both cold electrodes and a thermionic element on the axis. A comparison of the computational model results with experimental data is given. The presented model makes it possible to solve the problem concerning the plasma potential distribution in the case of an arbitrary number of end electrodes, and also to take into account the inhomogeneity of the distribution of plasma density, neutral gas pressure and electron temperature along the radius.


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