无力磁场和Beltrami流

留言板

尊敬的读者、作者、审稿人, 关于本刊的投稿、审稿、编辑和出版的任何问题, 您可以本页添加留言。我们将尽快给您答复。谢谢您的支持!

姓名

邮箱

手机号码

标题

留言内容

验证码

On Force-Free Magnetic Fields and Beltrami Flows

National Laboratory for Turblence Research, Department of Mechanics and Engineering Science Peking Unversity Beijing 100871, P. R. China

摘要: 场矢量处处平行其旋度的管式矢量场具有复杂的拓扑结构．而且通常表现出混饨行为．本文提供了具有常数比例因子的这类矢量场在三种基本坐标系内的解析解,并指出完全导电流体内的一个Beltrami流能维持一个定常无力磁场,如果磁场矢量处处平行速度．
- 解析解 /
- 最大螺旋度 /
- 混沌磁力线
Abstract: Solenoidal vector fields,which satisfy the condition that the field vector every where parallels to its curl,have complex topologicla structures,andusually show chaotic behaviors.In this paper,analytical solutions for vector fields with constant proportional facfor in three basic coordinate sysems are presented and it is pointed out that a Beltrami flow can sustain a steady force-free magnetic fild in a perfectly conducting fluid,provided the magnetic field is parallel to the velocity everywhere.
- analytical solutions /
- maximal helicity /
- chaotic lines of force

[1]	R.Lust and S.Schluter,Kraftfreie magnetfelder Z.Astrophys 344(1954),263-282.
[2]	L.Woltjer.A theorem on force-free magnetic fields,Prooc Nat Acad Sci USA 44(1958).489-491.
[3]	H.K.Moffatt,The degree of knottedness of tangled vortex lines,J.Fluid Mech,35(1969),117-129.
[4]	V,I.Arnold.Surla topologie desecoulements stationaires des fluides parfaits,C.R.Acad.Sci Paris,26(1965),17-20.
[5]	T.Dombre.et al.,Chaotic streamlines and Lagrangian turbulences:the ABC flow,J.Fluid,Mech.16.7(1986),353.
[6]	S.Chandrasekhar,On force-free miagnctie tields.Proc,.Nat Acad Sci.USA,42(1956).1-5.
[7]	W.M.Elssasser,Introduction efttcts in terrestrial magnetism,Phys.Rev.,69(1946),106-116.
[8]	R.H.G.Helleman-Self-generated chaotic behavior in nonlinear mechanics,in Fundamental Problems in Statistical Mechamcs Vol.5 eds.by E.D.G.Cohen,North Holland(1980),165-233.