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arXiv · 1607.05087

Hall current effects in mean-field dynamo theory

Manasvi Lingam·Amitava Bhattacharjee
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Abstract

The role of the Hall term on large scale dynamo action is investigated by means of the First Order Smoothing Approximation. It is shown that the standard $\alpha$ coefficient is altered, and is zero when a specific double Beltrami state is attained, in contrast to the Alfv\'enic state for MHD dynamos. The $\beta$ coefficient is no longer positive definite, and thereby enables dynamo action even if $\alpha$-quenching were to operate. The similarities and differences with the (magnetic) shear-current effect are pointed out, and a mechanism that may be potentially responsible for $\beta < 0$ is advanced. The results are compared against previous studies, and their astrophysical relevance is also highlighted.

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Manasvi Lingam, Amitava Bhattacharjee. 2016-07-18. Hall current effects in mean-field dynamo theory. https://doi.org/10.3847/0004-637x/829/1/51

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