• Corpus ID: 55652954

An Anti-Perfect Dynamo Result

@article{Arter2013AnAD,
  title={An Anti-Perfect Dynamo Result},
  author={Wayne Arter},
  journal={arXiv: Plasma Physics},
  year={2013}
}

• W. Arter
• Published 27 September 2013
• Mathematics
• arXiv: Plasma Physics

It is shown that if the flow vector is a coordinate basis vector, then perfect dynamo action is not possible, regardless of whether the steady flow is compressible. Criteria determining the basis vector property are found to be expressible in terms of Lie derivatives, and construction of basis vector sets is straightforward.