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arxiv: 1309.7167 · v2 · pith:EM7EGZAXnew · submitted 2013-09-27 · ⚛️ physics.plasm-ph

An Anti-Perfect Dynamo Result

classification ⚛️ physics.plasm-ph
keywords vectorbasisdynamoflowactionanti-perfectcompressibleconstruction
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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.

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