The role of curvature and stretching on the existence of fast dynamo plasma in Riemannian space

摘要: Vishik’s anti-dynamo theorem is applied to a nonstretched twisted magnetic flux tube in Riemannian space. Marginal or slow dynamos along curved (folded), torsioned (twisted), and nonstretching tubes plasma flows are obtained. curvature of the computed terms Frenet thin limit. It shown that, for filaments, fast dynamo action diffusive case cannot be obtained, agreement with argument that obtained flows. Instead dynamo, nonuniform stretching An example given, which generalizes laminar flows, recently presented by Wang et al. [Phys Plasmas 9, 1491 (2002)], low Reynolds number Rem⩾210. Curved twisting heliotrons, where nondynamo modes found even when present, shows simple presence not enough existence action...