Abstract
The role of kinetic helicity in small-scale fast dynamo action is investigated by employing a simple statistical model for the underlying flow with statistics that are Gaussian distributed, temporally delta-correlated and spatially homogeneous and isotropic. In order to focus on small-scale dynamo action we restrict our attention to flows possessing no net kinetic helicity. With the help of a diagrammatic technique and a numerical calculation we show that the dynamo growth rate is independent of the kinetic helicity as the magnetic Reynolds number Rm → ∞. It is indicated that the latter enhances the growth of the magnetic energy only for finite Rm.
| Original language | English |
|---|---|
| Pages (from-to) | 211-218 |
| Number of pages | 8 |
| Journal | Physics Letters, Section A: General, Atomic and Solid State Physics |
| Volume | 236 |
| Issue number | 3 |
| DOIs | |
| Publication status | Published - 8 Dec 1997 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Physics and Astronomy(all)
Cite this
Kim, E. J., & Hughes, D. W. (1997). Flow helicity in a simplified statistical model of a fast dynamo. Physics Letters, Section A: General, Atomic and Solid State Physics, 236(3), 211-218. https://doi.org/10.1016/S0375-9601(97)00746-9