Flow helicity in a simplified statistical model of a fast dynamo

Eun Jin Kim; David W. Hughes

doi:10.1016/S0375-9601(97)00746-9

Flow helicity in a simplified statistical model of a fast dynamo

Eun Jin Kim, David W. Hughes

Research output: Contribution to journal › Article › peer-review

8 Citations (Scopus)

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 R_m → ∞. It is indicated that the latter enhances the growth of the magnetic energy only for finite R_m.

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	https://doi.org/10.1016/S0375-9601(97)00746-9
Publication status	Published - 8 Dec 1997
Externally published	Yes

ASJC Scopus subject areas

Physics and Astronomy(all)

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10.1016/S0375-9601(97)00746-9

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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.",

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AU - Hughes, David W.

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AB - 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.

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DO - 10.1016/S0375-9601(97)00746-9

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Flow helicity in a simplified statistical model of a fast dynamo

Abstract

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