Kinetic helicity, magnetic helicity and fast dynamo action

David W. Hughes; Fausto Cattaneo; Eun Jin Kim

doi:10.1016/S0375-9601(96)00722-0

Kinetic helicity, magnetic helicity and fast dynamo action

David W. Hughes, Fausto Cattaneo, Eun Jin Kim

Research output: Contribution to journal › Article

29 Citations (Scopus)

Abstract

The influence of the flow helicity on kinematic fast dynamo action is considered. Three different flows are studied, possessing identical chaotic properties but very different distributions of helicity (maximal helicity, zero net helicity and zero helicity density). All three flows provide strong evidence of fast dynamo action, indicating that helicity is not a crucial feature of fast dynamo flows. Comparisons are made between the magnetic fields generated by the three flows and it is established how certain key quantities scale with the magnetic Reynolds number. In particular, it is shown that the relative magnetic helicity tends to zero as the magnetic Reynolds number tends to infinity.

Original language	English
Pages (from-to)	167-172
Number of pages	6
Journal	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	223
Issue number	3
DOIs	https://doi.org/10.1016/S0375-9601(96)00722-0
Publication status	Published - 2 Dec 1996
Externally published	Yes

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ASJC Scopus subject areas

Physics and Astronomy(all)

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Hughes, D. W., Cattaneo, F., & Kim, E. J. (1996). Kinetic helicity, magnetic helicity and fast dynamo action. Physics Letters, Section A: General, Atomic and Solid State Physics, 223(3), 167-172. https://doi.org/10.1016/S0375-9601(96)00722-0

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N2 - The influence of the flow helicity on kinematic fast dynamo action is considered. Three different flows are studied, possessing identical chaotic properties but very different distributions of helicity (maximal helicity, zero net helicity and zero helicity density). All three flows provide strong evidence of fast dynamo action, indicating that helicity is not a crucial feature of fast dynamo flows. Comparisons are made between the magnetic fields generated by the three flows and it is established how certain key quantities scale with the magnetic Reynolds number. In particular, it is shown that the relative magnetic helicity tends to zero as the magnetic Reynolds number tends to infinity.

AB - The influence of the flow helicity on kinematic fast dynamo action is considered. Three different flows are studied, possessing identical chaotic properties but very different distributions of helicity (maximal helicity, zero net helicity and zero helicity density). All three flows provide strong evidence of fast dynamo action, indicating that helicity is not a crucial feature of fast dynamo flows. Comparisons are made between the magnetic fields generated by the three flows and it is established how certain key quantities scale with the magnetic Reynolds number. In particular, it is shown that the relative magnetic helicity tends to zero as the magnetic Reynolds number tends to infinity.

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10.1016/S0375-9601(96)00722-0

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