Effect of the Plasma Pressure on Magnetohydrodynamic Kink Instability in a Cylindrical Geometry  

作　　者：代玉杰 刘金远 王学慧 

机构地区：[1]School of Physics and Optoelectronic Technology,College of Advanced Science and Technology,Dalian University of Technology [2]College of Sciences,Liaoning Shihua University

出　　处：《Plasma Science and Technology》2009年第3期269-273,共5页等离子体科学和技术（英文版）

基　　金：supported by National Basic Research Program of China (No.2008CB717801);National Natural Science Foundation of China (No.10875024);Laboratory of College and University Program of Liaoning Province of China (No.2008S059)

摘　　要：A semi-analytical method is introduced to study kink instability in cylindrical plasma with line-tied boundary conditions. The method is based on an expansion for magnetohydrodynamics （MHD） equations in one-dimensional （1D） radial eigenvalue problems by using Fourier transforms. The MHD equations then become an ordinary differential equation. This method is applicable to both ideal and non-ideal MHD problem. The effect of plasma pressure （P0） on kink instability is studied in a cylindrical geometry. Complex discrete spectra are pre- sented. Two-dimensional （2D） eigenfunctions with the line-tied boundary conditions are obtained. The growth rate and radial eigenfunctions are different in the two cases of P0 = 0 and P0 ≠ 0, which indicate that the effect of plasma pressure can not be ignored if it is large enough. This method allows us to understand the role of individual radial eigenfunctions, and is also computationally efficient compared to direct solutions of the MHD equations by the finite difference method.A semi-analytical method is introduced to study kink instability in cylindrical plasma with line-tied boundary conditions. The method is based on an expansion for magnetohydrodynamics （MHD） equations in one-dimensional （1D） radial eigenvalue problems by using Fourier transforms. The MHD equations then become an ordinary differential equation. This method is applicable to both ideal and non-ideal MHD problem. The effect of plasma pressure （P0） on kink instability is studied in a cylindrical geometry. Complex discrete spectra are pre- sented. Two-dimensional （2D） eigenfunctions with the line-tied boundary conditions are obtained. The growth rate and radial eigenfunctions are different in the two cases of P0 = 0 and P0 ≠ 0, which indicate that the effect of plasma pressure can not be ignored if it is large enough. This method allows us to understand the role of individual radial eigenfunctions, and is also computationally efficient compared to direct solutions of the MHD equations by the finite difference method.

关 键 词：plasma pressure Fourier transforms MHD kink instability 

分 类 号：O53[理学—等离子体物理] O361.3[理学—物理]