Effect of trapping on vortices in plasma

被引:15
作者
Siddiqui, H. [1 ]
Shah, H. A. [1 ]
Tsintsadze, N. L. [1 ,2 ]
机构
[1] Govt Coll Univ, Dept Phys, Lahore 54000, Pakistan
[2] Georgian Acad Sci, Inst Phys, Tbilisi, Georgia
关键词
Hasegawa-Mima equation; trapped particles; vortices; solitary wave;
D O I
10.1007/s10894-007-9131-0
中图分类号
TL [原子能技术]; O571 [原子核物理学];
学科分类号
0827 ; 082701 ;
摘要
Microscopic trapping of electrons is considered in one- and two-dimensional potential wells (shallow and deep) and its effect on vortex formation is investigated by deriving modified Hasegawa Mima (HM) equations. Inhomogenieties in the number density and magnetic field are taken into account. The modified HM equations are analysed by considering bounce frequencies of the trapped particles. Solitary vortices are obtained via Kortweg deVries (KdV) type of equations and both exact and Sagdeev potential solutions are obtained. In general it is observed that trapping produces stronger non-linearities and this leads to the modification of the original HM equation.
引用
收藏
页码:216 / 224
页数:9
相关论文
共 26 条
[1]   Influence of particle trapping on the propagation of ion cyclotron waves [J].
Abbasi, H ;
Tsintsadze, NL ;
Tskhakaya, DD .
PHYSICS OF PLASMAS, 1999, 6 (06) :2373-2379
[2]  
ALEXANDROV AF, 1984, PRINCIPLES PLASMA EL, P165
[3]   EXACT NONLINEAR PLASMA OSCILLATIONS [J].
BERNSTEIN, IB ;
GREENE, JM ;
KRUSKAL, MD .
PHYSICAL REVIEW, 1957, 108 (03) :546-550
[4]  
Charney J.G., 1948, GEOFYS PUBL, V17, P3
[5]  
Dodd R. K., 1982, Solitons and nonlinear wave equations
[6]  
EROKHIN NS, 1995, FIZ PLAZMY, V22, P137
[7]   Solitary wave structure in magnetized plasmas and the source region of BEN [J].
Grabbe, CL .
GEOPHYSICAL RESEARCH LETTERS, 2002, 29 (16)
[8]  
Gurevich A.V, 1967, SOV PHYS JETP, V53, P953
[9]   PSEUDO-3-DIMENSIONAL TURBULENCE IN MAGNETIZED NONUNIFORM PLASMA [J].
HASEGAWA, A ;
MIMA, K .
PHYSICS OF FLUIDS, 1978, 21 (01) :87-92
[10]  
HORTON CW, 1979, PHYS REV LETT, V37, P1269