黎曼打结管中发电机等离子体的拉伸磁场
Stretching magnetic fields by dynamo plasmas in Riemannian knotted tubes
摘要：
最近，Shukurov等人[Phys Rev E 72，025302（2008）]在发电机Moebius带流上利用非正交曲线坐标系来研究湍流液体钠流的拉伸效应。在等离子体物理中，Chui和Moffatt [Proc Roy Soc A 451，609，（1995）]（CM）考虑非正交坐标来研究打结磁通量管黎曼度规。在这里，它表明，在unstretching打结管，发电机行动不能支持。那里的湍流，是由环面旋转的突然制动产生的。在这里，使用CM度量，表明拉伸的磁结，理想的等离子体，可能支持发电机行动。对等离子体发电机中拉伸的研究表明，在扩散介质中[Phys Plasma \textbf{15}，122106，（2008）]，未拉伸的未打结管不支持快速发电机动作。非等圆截面流量管中的非正交坐标，正增长率，导致管收缩为一个常数。随着管收缩，曲率增长增强发电机行动。
英文摘要：
Recently Shukurov et al [Phys Rev E 72, 025302 (2008)], made use of non-orthogonal curvilinear coordinate system on a dynamo Moebius strip flow, to investigate the effect of stretching by a turbulent liquid sodium flow. In plasma physics, Chui and Moffatt [Proc Roy Soc A 451,609,(1995)] (CM), considered non-orthogonal coordinates to investigate knotted magnetic flux tube Riemann metric. Here it is shown that, in the unstretching knotted tubes, dynamo action cannot be supported. Turbulence there, is generated by suddenly braking of torus rotation. Here, use of CM metric, shows that stretching of magnetic knots, by ideal plasmas, may support dynamo action. Investigation on the stretching in plasma dynamos, showed that in diffusive media [Phys Plasma \textbf{15},122106,(2008)], unstretching unknotted tubes do not support fast dynamo action. Non-orthogonal coordinates in flux tubes of non-constant circular section, of positive growth rate, leads to tube shrinking to a constant value. As tube shrinks, curvature grows enhancing dynamo action.
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