等离子体压强对Line-tied扭曲不稳定性增长率和本征函数的影响

核聚变与等离子体物理 ›› 2010, Vol. 30 ›› Issue (4): 306-311.

等离子体压强对Line-tied扭曲不稳定性增长率和本征函数的影响

代玉杰，刘金远，王学慧

(1. 辽宁石油化工大学理学院，抚顺 113001；2. 大连理工大学物理与光电工程学院高科技研究院，大连 116024)

收稿日期:2010-06-23 修回日期:2010-08-27 出版日期:2010-12-15 发布日期:2011-01-26
作者简介:代玉杰(1976-)，男，内蒙古赤峰人，博士，讲师，主要从事磁流体不稳定性的研究。
基金资助:
国家自然科学面上基金(10875024)；科技部ITER计划专项国内配套研究2009年度项目(2009GB105004)；辽宁省高等学校科研项目计划(2008S059)

Effect of the plasma pressure on growth rate and eigenfunction of line-tied kink instability

DAI Yu-jie,LIU Jin-yuan,WANG Xue-hui

(1. College of Sciences, Liaoning Shihua University, Fushun 113001; 2. School of Physics and Optoelectronic Technology,College of Advanced Science and Technology, Dalian University of Technology, Dalian 116024)

Received:2010-06-23 Revised:2010-08-27 Online:2010-12-15 Published:2011-01-26

摘要/Abstract

摘要：

应用半解析方法，研究了直圆柱位形下等离子体压强P₀分别为P₀=0、P₀=常数和P₀=f(r)时Line-tied扭曲不稳定性的增长率和二维径向本征函数的演化规律。结果表明，P₀=0和P₀=常数时的轴向波数k的范围相同，但P₀=常数时的增长率比P₀=0时的小。P₀=f(r)时的轴向波数k的范围和增长率则都比P₀=0时的大，同时磁流体的速度变化也较大。因此，P₀=f(r)更接近实际的物理模型(例如日冕的喷射问题)。

关键词: 等离子体压强, 磁流体, 扭曲不稳定性

Abstract:

The evolution of growth rate and two-dimensional radial eigenfunction of line-tied kink instability in cylindrical geometry is studied by using semi-analytical method for the three cases of p₀=0,p₀=const and p₀=f(r) respectively. The ranges of axial wave number k are same for the two cases of p₀=0 and p₀=const, and the growth rate of p₀= const is less than that of p₀=0. The ranges of axial wave number k and growth rate of p₀=f(r) are greater than that of p₀=0, and the magneto- hydrodynamic (MHD) velocity has a great change. Therefore, the case of p₀=f(r) is closed to the actual physical model (for example, the coronal mass ejections).

Key words: Plasma pressure, MHD, Kink instability

中图分类号:

O534+.2

代玉杰，刘金远，王学慧. 等离子体压强对Line-tied扭曲不稳定性增长率和本征函数的影响[J]. 核聚变与等离子体物理, 2010, 30(4): 306-311.

DAI Yu-jie, LIU Jin-yuan, WANG Xue-hui. Effect of the plasma pressure on growth rate and eigenfunction of line-tied kink instability[J]. NUCLEAR FUSION AND PLASMA PHYSICS, 2010, 30(4): 306-311.

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